Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2021 | OriginalPaper | Chapter

1. Introduction

Author : Ye Wang

Published in: Advances in State Estimation, Diagnosis and Control of Complex Systems

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In modern societies, reliable and sustainable operation of certain infrastructures plays a fundamental role in the quality of individual life, economic development and security of nations. Large-scale critical infrastructure systems, especially those located in urban areas, such as water distribution networks (WDNs) and smart grids (SGs), are a subject of increasing concern. Therefore, it is of vital importance to develop management systems that guarantee a reliable and sustainable operation of these infrastructures. On the other hand, for the management of these infrastructures, it is also significant that their operation must use efficiently the resources that they can deliver, e.g., water and electricity, and also be efficient from an economic point of view and guarantee future supply.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
next chapter Set-Based State Estimation Approaches for Descriptor Systems
Literature
1.
2.
3.
Araujo J, Barros P, Dorea C (2012) Design of observers with error limitation in discrete-time descriptor systems: a case study of a hydraulic tank system. IEEE Trans Control Syst Technol 20(4):1041–1047CrossRef
4.
Puig V, Ocampo-Martinez C, Pérez R, Cembrano G, Quevedo J, Escobet T (2017) Real-time monitoring and operational control of drinking-water systems. Springer
5.
Wang Y, Puig V, Cembrano G (2017) Non-linear economic model predictive control of water distribution networks. J Process Control 56:23–34CrossRef
6.
Biegler L, Campbell S, Mehrmann V (2012) Control and optimization with differential-algebraic constraints. Society for Industrial and Applied Mathematics, Philadelphia, USA
7.
Riaza R (2008) Differential-algebraic systems: analytical aspects and circuit applications. World Scientific Publishing Company, New York, USAMATHCrossRef
8.
Stevens B, Lewis FL, Johnson E (2016) Aircraft control and simulation: dynamics, controls design, and autonomous systems. Wiley-Blackwell, New York, USA
9.
Zhang Q, Liu C, Zhang X (2012) Complexity, analysis and control of singular biological systems. Springer, London, UK
10.
Luenberger D, Arbel A (1977) Singular dynamic Leontief systems. Econometrica 45(4):991–995MATHCrossRef
11.
Zhang L, Lam J, Zhang Q (1999) Lyapunov and Riccati equations of discrete-time descriptor systems. IEEE Trans Autom Control 44(11):2134–2139MathSciNetMATHCrossRef
12.
Halanay A, Rasvan V (2000) Stability and stable oscillations in discrete time systems. CRC Press
13.
14.
Ishihara J, Terra M, Bianco A (2010) Recursive linear estimation for general discrete-time descriptor systems. Automatica 46(4):761–766MathSciNetMATHCrossRef
15.
Angeli D, Amrit R, Rawlings J (2012) On average performance and stability of economic model predictive control. IEEE Trans Autom Control 57(7):1615–1626MathSciNetMATHCrossRef
16.
Ellis M, Liu J, Christofides P (2017) Economic model predictive control: theory, formulations and chemical process applications. Springer
17.
18.
Maciejowski J (2002) Predictive control with constraints. Prentice-Hall
19.
Rawlings J, Mayne D (2009) Model predictive control: theory and design. Wis. Nob Hill Pub. cop, Madison
20.
Cembrano G, Quevedo J, Salamero M, Puig V, Figueras J, Martí J (2004) Optimal control of urban drainage systems. A case study. Control Eng Pract 12(1):1–9
21.
Cembrano G, Wells G, Quevedo J, Perez R, Argelaguet R (2000) Optimal control of a water distribution network in a supervisory control system. Control Eng Pract 8(10):1177–1188CrossRef
22.
Ocampo-Martinez C, Puig V, Cembrano G, Quevedo J (2013) Application of MPC strategies to the management of complex networks of the urban water cycle. IEEE Control Syst 33(1):15–41MathSciNetMATHCrossRef
23.
Pereira M, Muñoz de la Peña D, Limon D, Alvarado I, Alamo T (2016) Application to a drinking water network of robust periodic MPC. Control Eng Pract 57:50–60CrossRef
24.
Zeng J, Liu J (2015) Economic model predictive control of wastewater treatment processes. Ind Eng Chem Res 54(21):5710–5721CrossRef
25.
Pereira M, Limon D, Muñoz de la Peña D, Limon D (2017) Robust economic model predictive control of a community micro-grid. Renew Energy 100:3–17CrossRef
26.
Pereira M, Limon D, Muñoz de la Peña D, Valverde L, Alamo T (2015) Periodic economic control of a nonisolated microgrid. IEEE Trans Ind Electron 62(8):5247–5255CrossRef
27.
Liu S, Zhang J, Liu J (2015) Economic MPC with terminal cost and application to an oilsand primary separation vessel. Chem Eng Sci 136:27–37CrossRef
28.
Santander O, Elkamel A, Budman H (2016) Economic model predictive control of chemical processes with parameter uncertainty. Comput Chem Eng 95:10–20CrossRef
29.
Amrit R, Rawlings J, Angeli D (2011) Economic optimization using model predictive control with a terminal cost. Annu Rev Control 35(2):178–186CrossRef
30.
Müller M, Angeli D, Allgöwer F (2014) On the performance of economic model predictive control with self-tuning terminal cost. J Process Control 24(8):1179–1186CrossRef
31.
Ellis M, Durand H, Christofides P (2016) Elucidation of the role of constraints in economic model predictive control. Annu Rev Control 41:208–217CrossRef
32.
33.
Grüne L, Stieler M (2014) Asymptotic stability and transient optimality of economic MPC without terminal conditions. J Process Control 24(8):1187–1196CrossRef
34.
35.
Mayne D, Seron M, Raković S (2005) Robust model predictive control of constrained linear systems with bounded disturbances. Automatica 41(2):219–224MathSciNetMATHCrossRef
36.
Pereira M, Muñoz de la Peña D, Limon D, Alvarado I, Alamo T (2017) Robust model predictive controller for tracking changing periodic signals. IEEE Trans Autom Control 62(10):5343–5350MathSciNetMATHCrossRef
37.
38.
39.
Huang R, Biegler L, Harinath E (2012) Robust stability of economically oriented infinite horizon NMPC that include cyclic processes. J Process Control 22(1):51–59CrossRef
40.
Blanke M, Kinnaert M, Lunze J, Staroswiecki M (2016) Diagnosis and fault-tolerant control. Springer, Berlin HeidelbergMATHCrossRef
41.
42.
Chadli M, Abdo A, Ding S (2013) Fault detection filter design for discrete-time Takagi-Sugeno fuzzy system. Automatica 49(7):1996–2005MathSciNetMATHCrossRef
43.
Ichalal D, Marx B, Ragot J, Maquin D (2014) Fault detection, isolation and estimation for Takagi-Sugeno nonlinear systems. J Frankl Inst 351(7):3651–3676MathSciNetMATHCrossRef
44.
Lee KS, Park TG (2015) Robust fault detection observer design under fault sensitivity constraints. J Frankl Inst 352(5):1791–1810
45.
Blanchini F, Casagrande D, Giordano G, Miani S, Olaru S, Reppa V (2017) Active fault isolation: a duality-based approach via convex programming. SIAM J Control Optim 55(3):1619–1640MathSciNetMATHCrossRef
46.
Raka S, Combastel C (2013) Fault detection based on robust adaptive thresholds: a dynamic interval approach. Annu Rev Control 37(1):119–128CrossRef
47.
Xu F, Puig V, Ocampo-Martinez C, Stoican F, Olaru S (2014) Actuator-fault detection and isolation based on set-theoretic approaches. J Process Control 24(6):947–956CrossRef
48.
Puig V, Quevedo J, Escobet T, Nejjari F, De Las Heras S (2008) Passive robust fault detection of dynamic processes using interval models. IEEE Trans Control Syst Technol 16(5):1083–1089
49.
50.
Scott J, Raimondo D, Marseglia G, Braatz R (2016) Constrained zonotopes: a new tool for set-based estimation and fault detection. Automatica 69:126–136MathSciNetMATHCrossRef
51.
Chen J, Patton R (1999) Robust model-based fault diagnosis for dynamic systems. Springer, New York, USAMATHCrossRef
52.
53.
Koenig D (2005) Unknown input proportional multiple-integral observer design for linear descriptor systems: application to state and fault estimation. IEEE Trans Autom Control 50(2):212–217MathSciNetMATHCrossRef
54.
Rotondo D, Witczak M, Puig V, Nejjari F, Pazera M (2016) Robust unknown input observer for state and fault estimation in discrete-time Takagi-Sugeno systems. Int J Syst Sci 47(14):3409–3424MathSciNetMATHCrossRef
55.
Xu F, Tan J, Wang X, Puig V, Liang B, Yuan B (2016) A novel design of unknown input observers using set-theoretic methods for robust fault detection. In: American control conference (ACC), Boston, USA, pp 5957–5961
56.
Xu F, Tan J, Wang X, Puig V, Liang B, Yuan B (2018) Mixed active/passive robust fault detection and isolation using set-theoretic unknown input observers. IEEE Trans Autom Sci Eng 15(2):863–871CrossRef
57.
Varga A (2017) Solving fault diagnosis problems. Springer
58.
Wan Y, Keviczky T (2019) Real-time fault-tolerant moving horizon air data estimation for the reconfigure benchmark. IEEE Trans Control Syst Technol 27(3):997–1011CrossRef
59.
Wan Y, Keviczky T (2019) Real-time nonlinear moving horizon observer with pre-estimation for aircraft sensor fault detection and estimation. Int J Robust Nonlinear Control 29(16):5394–5411MathSciNetMATHCrossRef
60.
Wan Y, Keviczky T, Verhaegen M (2018) Fault estimation filter design with guaranteed stability using Markov parameters. IEEE Trans Autom Control 63(4):1132–1139MathSciNetMATHCrossRef
61.
Gao Z (2015) Fault estimation and fault-tolerant control for discrete-time dynamic systems. IEEE Trans Ind Electron 62(6):3874–3884CrossRef
62.
Gao Z, Ding S (2007) Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems. Automatica 43(5):912–920MathSciNetMATHCrossRef
63.
64.
Wang Z, Rodrigues M, Theilliol D, Shen Y (2015) Fault estimation filter design for discrete-time descriptor systems. IET Control Theory Appl 9(10):1587–1594MathSciNetMATHCrossRef
65.
Zhang K, Jiang B, Shi P, Xu J (2015) Fault estimation observer design for discrete-time systems in finite-frequency domain. Int J Robust Nonlinear Control 25(9):1379–1398MathSciNetMATHCrossRef
66.
Wang Z, Shi P, Lim C (2017) Robust fault estimation observer in the finite frequency domain for descriptor systems. Int J Control 1590–1599
67.
Lopez-Estrada F, Ponsart J, Astorga-Zaragoza C, Camas-Anzueto J, Theilliol D (2015) Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: application to an anaerobic bioreactor. Int J Appl Math Comput Sci 25(2):233–244MathSciNetMATHCrossRef
68.
Rodrigues M, Hamdi H, Theilliol D, Mechmeche C, BenHadj Braiek N (2015) Actuator fault estimation based adaptive polytopic observer for a class of LPV descriptor systems. Int J Robust Nonlinear Control 25(5):673–688
69.
Shi F, Patton R (2015) Fault estimation and active fault tolerant control for linear parameter varying descriptor systems. Int J Robust Nonlinear Control 25(5):689–706MathSciNetMATHCrossRef
70.
Wang Z, Rodrigues M, Theilliol D, Shen Y (2015) Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems. Int J Adapt Control Signal Process 29(2):242–258MathSciNetMATHCrossRef
71.
72.
Zhang Y, Jiang J (2008) Bibliographical review on reconfigurable fault-tolerant control systems. Annu Rev Control 32(2):229–252CrossRef
73.
Lunze J, Steffen T (2006) Control reconfiguration after actuator failures using disturbance decoupling methods. IEEE Trans Autom Control 51(10):1590–1601MathSciNetMATHCrossRef
74.
Rotondo D, Nejjari F, Puig V (2014) A virtual actuator and sensor approach for fault tolerant control of LPV systems. J Process Control 24(3):203–222CrossRef
75.
Rotondo D, Puig V, Nejjari F, Romera J (2015) A fault-hiding approach for the switching quasi-LPV fault-tolerant control of a four-wheeled omnidirectional mobile robot. IEEE Trans Ind Electron 62(6):3932–3944
76.
Rotondo D, Nejjari F, Puig V (2016) Fault tolerant control of a proton exchange membrane fuel cell using Takagi-Sugeno virtual actuators. J Process Control 45:12–29CrossRef
77.
Richter J, Heemels W, van de Wouw N, Lunze J (2011) Reconfigurable control of piecewise affine systems with actuator and sensor faults: stability and tracking. Automatica 47(4):678–691MathSciNetMATHCrossRef
78.
Rotondo D, Cristofaro A, Johansen T (2018) Fault tolerant control of uncertain dynamical systems using interval virtual actuators. Int J Robust Nonlinear Control 28(2):611–624MathSciNetMATHCrossRef
79.
Alamo T, Bravo J, Redondo M, Camacho E (2008) A set-membership state estimation algorithm based on DC programming. Automatica 44(1):216–224MathSciNetMATHCrossRef
80.
Combastel C (2015) Zonotopes and Kalman observers: gain optimality under distinct uncertainty paradigms and robust convergence. Automatica 55:265–273MathSciNetMATHCrossRef
81.
Jaulin L, Kieffer M, Didrit O, Walter E (2001) Applied interval analysis, with examples in parameter and state estimation, robust control and robotics. Springer
82.
Puig V, Cuguero P, Quevedo J (2001) Worst-case state estimation and simulation of uncertain discrete-time systems using zonotopes. In: European control conference (ECC), pp 1691–1697
83.
Raïssi T, Ramdani N, Candau Y (2004) Set membership state and parameter estimation for systems described by nonlinear differential equations. Automatica 40(10):1771–1777MathSciNetMATHCrossRef
84.
Thabet R, Raïssi T, Combastel C, Efimov D, Zolghadri A (2014) An effective method to interval observer design for time-varying systems. Automatica 50(10):2677–2684MathSciNetMATHCrossRef
85.
Wan Y, Puig V, Ocampo-Martinez C, Wang Y, Braatz R (2018) Probability-guaranteed set-membership state estimation for polynomially uncertain linear time-invariant systems. In: 57th IEEE conference on decision and control (IEEE-CDC), Miami, USA, pp 2291–2296
86.
Schweppe F (1968) Recursive state estimation: unknown but bounded errors and system inputs. IEEE Trans Autom Control 13(1):22–28CrossRef
87.
Efimov D, Perruquetti W, Raïssi T, Zolghadri A (2013) Interval observers for time-varying discrete-time systems. IEEE Trans Autom Control 58(12):3218–3224MathSciNetMATHCrossRef
88.
89.
90.
Puig V (2010) Fault diagnosis and fault tolerant control using set-membership approaches: application to real case studies. Int J Appl Math Comput Sci 20(4):619–635MathSciNetMATHCrossRef
91.
Combastel C (2003) A state bounding observer based on zonotopes. In: European control conference (ECC), Cambridge, UK, pp 2589–2594
92.
Combastel C (2015) Merging Kalman filtering and zonotopic state bounding for robust fault detection under noisy environment. In: 9th IFAC symposium on fault detection. Supervision and safety for technical processes (SAFEPROCESS). France, Paris, pp 289–295
93.
Blanchini F (1999) Set invariance in control. Automatica 35(11):1747–1767
94.
Kolmanovsky I, Gilbert E (1998) Theory and computation of disturbance invariant sets for discrete-time linear systems. Math Probl Eng 4(4):317–367MATHCrossRef
95.
Limon D, Alamo T, Camacho E (2002) Stability analysis of systems with bounded additive uncertainties based on invariant sets: stability and feasibility of MPC. In: American control conference (ACC), Alaska, USA, pp 364–369
96.
Raković S, Kerrigan E, Kouramas K, Mayne D (2005) Invariant approximations of the minimal robust positively invariant set. IEEE Trans Autom Control 50(3):406–410MathSciNetMATHCrossRef
97.
Stoican F, Oară C, Hovd M (2015) RPI approximations of the mRPI set characterizing linear dynamics with zonotopic disturbances. In: Developments in model-based optimization and control: distributed control and industrial applications. Springer, pp 361–377
98.
Seron M, De Doná J (2015) On robust stability and set invariance of switched linear parameter varying systems. Int J Control 88(12):2588–2597MathSciNetMATHCrossRef
99.
Seron M, De Doná J (2016) On invariant sets and closed-loop boundedness of Lure-type nonlinear systems by LPV-embedding. Int J Robust Nonlinear Control 26(5):1092–1111MathSciNetMATHCrossRef
100.
Blanchini F, Casagrande D, Miani S (2010) Modal and transition dwell time computation in switching systems: a set-theoretic approach. Automatica 46(9):1477–1482MathSciNetMATHCrossRef
101.
Heidari R, Braslavsky J, Seron M, Haimovich H (2016) Ultimate bound minimisation by state feedback in discrete-time switched linear systems under arbitrary switching. Nonlinear Anal Hybrid Syst 21:84–102MathSciNetMATHCrossRef
102.
Alamo T, Cepeda A, Fiacchini M, Camacho E (2009) Convex invariant sets for discrete-time Lur’e systems. Automatica 45(4):1066–1071MathSciNetMATHCrossRef
103.
Bravo J, Limon D, Alamo T, Camacho E (2005) On the computation of invariant sets for constrained nonlinear systems: an interval arithmetic approach. Automatica 41(9):1583–1589MathSciNetMATHCrossRef
104.
Fiacchini M, Alamo T, Camacho E (2010) On the computation of convex robust control invariant sets for nonlinear systems. Automatica 46(8):1334–1338MathSciNetMATHCrossRef
105.
Fiacchini M, Alamo T, Camacho E (2012) Invariant sets computation for convex difference inclusions systems. Syst Control Lett 61(8):819–826MathSciNetMATHCrossRef
106.
Kofman E, Haimovich H, Seron M (2007) A systematic method to obtain ultimate bounds for perturbed systems. Int J Control 80(2):167–178MathSciNetMATHCrossRef
107.
Olaru S, De Doná J, Seron M, Stoican F (2010) Positive invariant sets for fault tolerant multisensor control schemes. Int J Control 83(12):2622–2640MathSciNetMATHCrossRef
108.
Stoican F, Olaru S, Seron M, De Doná J (2012) Reference governor design for tracking problems with fault detection guarantees. J Process Control 22(5):829–836CrossRef
109.
Seron M, De Doná J, Olaru S (2012) Fault tolerant control allowing sensor healthy-to-faulty and faulty-to-healthy transitions. IEEE Trans Autom Control 57(7):1657–1669MathSciNetMATHCrossRef
110.
Stoican F, Olaru S (2013) Set-theoretic fault-tolerant control in multisensor systems. Wiley-ISTE
111.
Xu F, Olaru S, Puig V, Ocampo-Martinez C, Niculescu S (2017) Sensor-fault tolerance using robust MPC with set-based state estimation and active fault isolation. Int J Robust Nonlinear Control 27(8):1260–1283MathSciNetMATHCrossRef
112.
Mayne D, Raković S, Findeisen R, Allgöwer F (2006) Robust output feedback model predictive control of constrained linear systems. Automatica 42(7):1217–1222MathSciNetMATHCrossRef
113.
Kofman E, Seron M, Haimovich H (2008) Control design with guaranteed ultimate bound for perturbed systems. Automatica 44(7):1815–1821MathSciNetMATHCrossRef
114.
Raimondo D, Marseglia G, Braatz R, Scott J (2016) Closed-loop input design for guaranteed fault diagnosis using set-valued observers. Automatica 74:107–117
115.
Scott J, Findeisen R, Braatz R, Raimondo D (2014) Input design for guaranteed fault diagnosis using zonotopes. Automatica 50(6):1580–1589MathSciNetMATHCrossRef
116.
117.
Wang Y, Olaru S, Valmorbida G, Puig V, Cembrano G (2017) Robust invariant sets and active mode detection for discrete-time uncertain descriptor systems. In: 56th IEEE conference on decision and control (IEEE-CDC), Melbourne, Australia, pp 5648–5653
118.
Gerdin M (2004) Computation of a canonical form for linear differential-algebraic equations. Technical report, Linköping University
119.
Iwasaki T, Hara S (2005) Generalized KYP lemma: unified frequency domain inequalities with design applications. IEEE Trans Autom Control 50(1):41–59MathSciNetMATHCrossRef
Metadata
Title
Introduction
Author
Ye Wang
Copyright Year
2021
Book
Advances in State Estimation, Diagnosis and Control of Complex Systems

Print ISBN: 978-3-030-52439-5

Electronic ISBN: 978-3-030-52440-1

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-52440-1_1