Skip to main content
Top
Published in: International Journal of Machine Learning and Cybernetics 6/2017

17-08-2016 | Original Article

Sandwich control systems with impulse time windows

Authors: Yuming Feng, Chuandong Li, Tingwen Huang

Published in: International Journal of Machine Learning and Cybernetics | Issue 6/2017

Log in

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

search-config
loading …

Abstract

In this paper, we formulate a new system, named by sandwich control system with impulse time windows. The present system is a cyclic control system, composed of three parts in a round: the first and last parts are continuous subsystems, while the middle one includes an impulsive operation. Different from the most existing results for impulsive systems, we assume that the impulse moments are unknown but limited to certain intervals (namely, impulse time windows). We then study the stability of the considered systems and obtain an exponential stability criterion in terms of a set of linear matrix inequalities. As a numerical example, Chua oscillator is stabilized by the proposed method.

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!

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Show more products
Literature
1.
go back to reference Yin S, Shi P, Yang H (2016) Adaptive fuzzy control of strict-feedback nonlinear time-delay systems with unmodeled dynamics. IEEE Trans Cybern 46(8):1926–1938CrossRef Yin S, Shi P, Yang H (2016) Adaptive fuzzy control of strict-feedback nonlinear time-delay systems with unmodeled dynamics. IEEE Trans Cybern 46(8):1926–1938CrossRef
2.
go back to reference Yin S, Yu H, Shanazi R, Haghani A (2016) Fuzzy adaptive tracking control of constrained nonlinear switched stochastic pure-feedback systems. IEEE Trans Cybern PP(99). doi:10.1109/TCYB.2016.2521179 Yin S, Yu H, Shanazi R, Haghani A (2016) Fuzzy adaptive tracking control of constrained nonlinear switched stochastic pure-feedback systems. IEEE Trans Cybern PP(99). doi:10.​1109/​TCYB.​2016.​2521179
3.
go back to reference Yin S, Zhu X, Qiu J, Gao H (2016) State estimation in nonlinear system using sequential evolutionary filter. IEEE Trans Ind Electron 63(6):3786–3794CrossRef Yin S, Zhu X, Qiu J, Gao H (2016) State estimation in nonlinear system using sequential evolutionary filter. IEEE Trans Ind Electron 63(6):3786–3794CrossRef
4.
go back to reference Yin S, Wang G, Gao H (2015) Data-driven process monitoring based on modified orthogonal projections to latent structures. IEEE Trans Control Syst Technol 24(4):1480–1487CrossRef Yin S, Wang G, Gao H (2015) Data-driven process monitoring based on modified orthogonal projections to latent structures. IEEE Trans Control Syst Technol 24(4):1480–1487CrossRef
5.
6.
go back to reference Wang X, Dong L, Yan J (2012) Maximum ambiguity based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24(8):1491–1505CrossRef Wang X, Dong L, Yan J (2012) Maximum ambiguity based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24(8):1491–1505CrossRef
7.
go back to reference Wang X, Dong C (2009) Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556–567CrossRefMathSciNet Wang X, Dong C (2009) Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556–567CrossRefMathSciNet
8.
go back to reference Wang X, Yeung DS, Tsang ECC (2001) A comparative study on heuristic algorithms for generating fuzzy decision trees. IEEE Trans Syst Man Cybern Part B: Cybern 31(2):215–226CrossRef Wang X, Yeung DS, Tsang ECC (2001) A comparative study on heuristic algorithms for generating fuzzy decision trees. IEEE Trans Syst Man Cybern Part B: Cybern 31(2):215–226CrossRef
9.
go back to reference Yeung DS, Wang X, Tsang ECC (2004) Handling interaction in fuzzy production rule reasoning. IEEE Trans Syst Man Cybern Part B Cybern 34(5):1979–1987CrossRef Yeung DS, Wang X, Tsang ECC (2004) Handling interaction in fuzzy production rule reasoning. IEEE Trans Syst Man Cybern Part B Cybern 34(5):1979–1987CrossRef
10.
go back to reference Tsang ECC, Wang X, Yeung DS (2000) Improving learning accuracy of fuzzy decision trees by hybrid neural networks. IEEE Trans Fuzzy Syst 8(5):601–614CrossRef Tsang ECC, Wang X, Yeung DS (2000) Improving learning accuracy of fuzzy decision trees by hybrid neural networks. IEEE Trans Fuzzy Syst 8(5):601–614CrossRef
11.
13.
go back to reference Yang T, Chua LO (1997) Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans Circuits Syst I: Fundam Theory Appl 44(10):976–988CrossRefMathSciNet Yang T, Chua LO (1997) Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans Circuits Syst I: Fundam Theory Appl 44(10):976–988CrossRefMathSciNet
14.
go back to reference Yang Z, Xu D (2007) Stability analysis and design of impulsive control systems with time delay. IEEE Trans Autom Control 52(8):1448–1454CrossRefMATHMathSciNet Yang Z, Xu D (2007) Stability analysis and design of impulsive control systems with time delay. IEEE Trans Autom Control 52(8):1448–1454CrossRefMATHMathSciNet
15.
go back to reference Allerhand LI, Shaked U (2013) Robust state-dependent switching of linear systems with dwell time. IEEE Trans Autom Control 58(4):994–1001CrossRefMATHMathSciNet Allerhand LI, Shaked U (2013) Robust state-dependent switching of linear systems with dwell time. IEEE Trans Autom Control 58(4):994–1001CrossRefMATHMathSciNet
16.
go back to reference Geromel JC, Deaecto GS, Daafouz J (2013) Suboptimal switching control consistency analysis for switched linear systems. IEEE Trans Autom Control 58(7):1857–1861CrossRefMATHMathSciNet Geromel JC, Deaecto GS, Daafouz J (2013) Suboptimal switching control consistency analysis for switched linear systems. IEEE Trans Autom Control 58(7):1857–1861CrossRefMATHMathSciNet
17.
go back to reference Heertjes MF, Sahin IH, van de Wouw N, Heemels WPMH (2013) Switching control in vibration isolation systems. IEEE Trans Control Syst Technol 21(3):626–635CrossRef Heertjes MF, Sahin IH, van de Wouw N, Heemels WPMH (2013) Switching control in vibration isolation systems. IEEE Trans Control Syst Technol 21(3):626–635CrossRef
18.
go back to reference Neamtu A, Stoica A (2013) A comparison of adaptive supervisory switching control schemes for high maneuverability aircrafts. Adv Intell Control Syst Comput Sci 187:157–176CrossRef Neamtu A, Stoica A (2013) A comparison of adaptive supervisory switching control schemes for high maneuverability aircrafts. Adv Intell Control Syst Comput Sci 187:157–176CrossRef
19.
go back to reference Ruby T, Rehbock V (2005) Numerical solutions of optimal switching. Control Probl Optim Control Appl Appl Optim 96:447–459MATHMathSciNet Ruby T, Rehbock V (2005) Numerical solutions of optimal switching. Control Probl Optim Control Appl Appl Optim 96:447–459MATHMathSciNet
20.
go back to reference Zheng G, Ma B (2012) A time optimal control problem of some linear switching controlled ordinary differential equations. Adv Differ Equ 2012:52. Open Access Date: 23 Apr 2012 Zheng G, Ma B (2012) A time optimal control problem of some linear switching controlled ordinary differential equations. Adv Differ Equ 2012:52. Open Access Date: 23 Apr 2012
21.
go back to reference Thanh T, Ahn K (2007) Control of two-axis pneumatic artificial muscle manipulator with a new phase plane switching control method. J Mech Sci Technol 21(7):1018–1027CrossRef Thanh T, Ahn K (2007) Control of two-axis pneumatic artificial muscle manipulator with a new phase plane switching control method. J Mech Sci Technol 21(7):1018–1027CrossRef
22.
go back to reference Sanchez EN, Perez JP (1999) Input-to-state stability (ISS) analysis for dynamic NN. IEEE Trans Circuits Syst I Regul Pap 46(11):1395–1398CrossRefMATH Sanchez EN, Perez JP (1999) Input-to-state stability (ISS) analysis for dynamic NN. IEEE Trans Circuits Syst I Regul Pap 46(11):1395–1398CrossRefMATH
23.
go back to reference Boyd S, Ghaoui L, Feron EEI, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, PhiladelphiaCrossRefMATH Boyd S, Ghaoui L, Feron EEI, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, PhiladelphiaCrossRefMATH
Metadata
Title
Sandwich control systems with impulse time windows
Authors
Yuming Feng
Chuandong Li
Tingwen Huang
Publication date
17-08-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 6/2017
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0580-5

Other articles of this Issue 6/2017

International Journal of Machine Learning and Cybernetics 6/2017 Go to the issue