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
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
Electric Powertrains and Energy Systems 2025 | 26 + 27 March 2025

19th International MTZ Congress on Future Powertrains

Take this opportunity to attend the conference. Experts from the automotive industry, energy providers, and grid operators will meet up with representatives from politics and science to discuss important topics for this sector.
EXTENDED SEARCH
Log in
Top
Circuits, Systems, and Signal Processing
Published in:

29-05-2024

Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy

Authors: Zufeng Peng, Junchao Ren

Published in: Circuits, Systems, and Signal Processing | Issue 9/2024

Log in

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

search-config
loading …

Abstract

In this paper, a novel sliding mode preview control (SMPC) problem with \(H_{\infty }\) performance is investigated for a category of discrete-time singular Markovian jump systems (SMJSs). A novel augmented error system (AES) model is first developed for discrete-time SMJSs based on the analysis of preview information, and the problem of SMPC is reformulated as the stability problem of AES. Secondly, a novel mode-independent sliding surface function is established for AES such that the reachability of sliding mode surfaces (SMS) can always be achievable. Thirdly, sufficient conditions of the \(H_{\infty }\) admissible stability for sliding mode dynamics is derived, based on which a suitable SMPC law is designed to satisfy discrete-time reachability condition. Finally, simulation results have shown that the proposed SMPC law is superior to the control law without previewable information.
previous article The Second-Order Sliding Mode Control Algorithm for Fixed-Time Stability of Nonlinear Systems
next article Event-Triggered State Observer Design for a Class of Nonlinear Time-Delay Fractional-Order Systems

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

ATZelektronik

Die Fachzeitschrift ATZelektronik bietet für Entwickler und Entscheider in der Automobil- und Zulieferindustrie qualitativ hochwertige und fundierte Informationen aus dem gesamten Spektrum der Pkw- und Nutzfahrzeug-Elektronik. 

Lassen Sie sich jetzt unverbindlich 2 kostenlose Ausgabe zusenden.

inform now

ATZelectronics worldwide

ATZlectronics worldwide is up-to-speed on new trends and developments in automotive electronics on a scientific level with a high depth of information. 

Order your 30-days-trial for free and without any commitment.

inform now
Show more products
Literature
1.
X. Chang, L. Zhang, J.H. Park, Robust static output feedback \({H}_{\infty }\) control for uncertain fuzzy systems. Fuzzy Sets Syst. 273, 87–104 (2015)MathSciNetCrossRef
2.
L. Dai, Singular Control Systems, vol. 118 (Springer, Berlin, 1989)
3.
Z. Feng, Y. Yang, Robust \({H}_{\infty }\) sliding mode control for uncertain polynomial fuzzy stochastic singular systems. J. Frankl. Inst. 360(4), 2893–2912 (2023)MathSciNetCrossRef
4.
Z. Feng, Z. Jiang, W.X. Zheng, Reachable set synthesis of singular Markovian jump systems. J. Frankl. Inst. 357(18), 13785–13799 (2020)MathSciNetCrossRef
5.
C. Jia, Sliding mode preview control for a class of continuous-time linear systems. Iran. J. Sci. Technol. Trans. Electr. Eng. 44(4), 1501–1511 (2020)CrossRef
6.
F. Li, C. Du, C. Yang, W. Gui, Passivity-based asynchronous sliding mode control for delayed singular Markovian jump systems. IEEE Trans. Autom. Control 63(8), 2715–2721 (2018)MathSciNetCrossRef
7.
J. Li, Q. Zhang, A linear switching function approach to sliding mode control and observation of descriptor systems. Automatica 95, 112–121 (2018)MathSciNetCrossRef
8.
L. Li, F. Liao, Robust preview control for a class of uncertain discrete-time systems with time-varying delay. ISA Trans. 73, 11–21 (2018)CrossRef
9.
L. Li, Y. Lu, X. Meng, Preview control of polytopic time-varying systems subject to actuator saturation. Asian J. Control 25(2), 921–936 (2023)MathSciNetCrossRef
10.
T. Liang, S. Shi, Y. Ma, Asynchronous sliding mode control of continuous-time singular Markov jump systems with time-varying delay under event-triggered strategy. Appl. Math. Comput. 448, 127947 (2023)MathSciNetCrossRef
11.
F. Liao, Y. Lu, H. Liu, Cooperative optimal preview tracking control of continuous-time multi-agent systems. Int. J. Control 89(10), 2019–2028 (2016)MathSciNetCrossRef
12.
F. Liao, Z. Xue, J. Wu, Design of an optimal preview controller for a class of linear discrete-time descriptor systems. Math. Probl. Eng. 2017(6), 1–9 (2017)MathSciNet
13.
D. Liu, Y. Yang, L. Li, S.X. Ding, Control performance-based fault-tolerant control strategy for singular systems. IEEE Trans. Syst. Man Cybern. Syst. 50(7), 2398–2407 (2020)CrossRef
14.
S. Pan, Z. Ye, J. Zhou, \({H}_{\infty }\) robust control based on event-triggered sampling for hybrid systems with singular Markovian jump. Math. Methods Appl. Sci. 42(3), 790–805 (2018)MathSciNetCrossRef
15.
C.C. Pantelides, The consistent initialization of differential-algebraic systems. SIAM J. Sci. Stat. Comput. 9(2), 213–231 (1988)MathSciNetCrossRef
16.
C. Park, N.K. Kwon, P. Park, Optimal \({H}_{\infty }\) filtering for singular Markovian jump systems. Syst. Control Lett. 118, 22–28 (2018)MathSciNetCrossRef
17.
J. Ren, C. Jiang, Robust sliding mode preview control for uncertain discrete-time systems with time-varying delay. Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 236(4), 772–782 (2022)MathSciNet
18.
J. Ren, J. Sun, J. Fu, Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. Nonlinear Dyn. 103(3), 865–882 (2021)CrossRef
19.
T. Sheridan, Three models of preview control. IEEE Trans. Hum. Factors Electron. HFE 7(2), 91–102 (1966)CrossRef
20.
P. Shi, W. Sun, X. Yang, I.J. Rudas, H. Gao, Master-slave synchronous control of dual-drive gantry stage with cogging force compensation. IEEE Trans. Syst. Man Cybern. Syst. 53(1), 216–225 (2023)CrossRef
21.
Q. Sun, J. Ren, Sliding mode preview tracking control of OSL nonlinear discrete-time systems. Circuits Syst. Signal Process. 41(8), 4347–4369 (2022)CrossRef
22.
Q. Sun, J. Ren, J. Fu, Robust preview control of uncertain discrete-time T-S fuzzy Markovian jump systems subject to time-varying delays via sliding mode approach. Inf. Sci. 639, 118980 (2023)CrossRef
23.
W. Sun, X. Wang, C. Zhang, A model-free control strategy for vehicle lateral stability with adaptive dynamic programming. IEEE Trans. Ind. Electron. 67(12), 10693–10701 (2020)CrossRef
24.
W. Sun, Y. Yuan, Passivity based hierarchical multi-task tracking control for redundant manipulators with uncertainties. Automatica 155, 111159 (2023)MathSciNetCrossRef
25.
Y. Tao, Z. Wu, T. Huang, P. Chakrabarti, C.K. Ahn, Asynchronous event-triggered output-feedback control of singular Markov jump systems. IEEE Trans. Cybern. 53(11), 7342–7352 (2023)CrossRef
26.
M. Vijayakumar, R. Sakthivel, A. Mohammadzadeh, S. Karthick, S. Marshal Anthoni, Proportional integral observer based tracking control design for Markov jump systems. Appl. Math. Comput. 410, 126467 (2021)MathSciNetCrossRef
27.
G. Wang, H. Shen, F. Li, J. Wang, \({H}_{\infty }\) filtering for discrete-time hidden singular Markov jump systems subject to partially known probability information under dos attacks. Int. J. Robust Nonlinear Control 33(5), 3210–3226 (2023)MathSciNetCrossRef
28.
H. Wang, M. Fu, H. Zhang, \({H}_{\infty }\) control for stochastic systems with disturbance preview. SIAM J. Control Optim. 58(1), 215–242 (2020)MathSciNetCrossRef
29.
J. Wang, Y. Gao, Y. Liu, J. Liu, G. Sun, L. Wu, Intelligent dynamic practical-sliding-mode control for singular Markovian jump systems. Inf. Sci. 607, 153–172 (2022)CrossRef
30.
S. Xu, J. Lam, Robust Control and Filtering of Singular Systems. Lecture Notes in Control and Information Sciences (Springer, Berlin, 2006), pp.171–194
31.
D. Yao, H. Li, Y. Shi, Adaptive event-triggered sliding-mode control for consensus tracking of nonlinear multiagent systems with unknown perturbations. IEEE Trans. Cybern. 53(4), 2672–2684 (2023)CrossRef
32.
X. Yu, F. Liao, L. Li, \({H}_{\infty }\) decentralised output feedback preview tracking control via state observer for a class of nonlinear disturbed interconnected discrete systems. Int. J. Control 95(5), 1174–1190 (2022)MathSciNetCrossRef
33.
D. Zhang, X. Yang, Y. Wang, Event-triggered sliding mode control for singular Markovian jump systems. Circuits Syst. Signal Process. 42(5), 2675–2697 (2023)CrossRef
34.
D. Zhang, Q. Zhang, Reduced-order observer-based sliding mode control for singular Markovian jump system with time-varying transition rate. IEEE Trans. Circuits Syst. I Regul. Pap. 66(2), 796–809 (2019)MathSciNetCrossRef
35.
L. Zhang, G. Zong, X. Zhao, N.Z. Zhao, S. Sharaf, Reachable set control for discrete-time Takagi–Sugeno fuzzy singular Markov jump system. IEEE Trans. Fuzzy Syst. 31(9), 3173–3184 (2023)CrossRef
36.
P. Zhang, Y. Kao, J. Hu, B. Niu, Robust observer-based sliding mode \({H}_{\infty }\) control for stochastic Markovian jump systems subject to packet losses. Automatica 130, 109665 (2021)MathSciNetCrossRef
37.
Q. Zhang, L. Li, X.-G. Yan, S.K. Spurgeon, Sliding mode control for singular stochastic Markovian jump systems with uncertainties. Automatica 79, 27–34 (2017)MathSciNetCrossRef
38.
W. Zhang, J. Bae, M. Tomizuka, Modified preview control for a wireless tracking control system with packet loss. IEEE/ASME Trans. Mechatron. 20(1), 299–307 (2014)CrossRef
39.
Y. Zhang, X. Mu, Event-triggered output quantized control of discrete Markovian singular systems. Automatica 135, 109992 (2022)MathSciNetCrossRef
40.
Y. Zhao, Y. Liu, Y. Ma, Robust finite-time sliding mode control for discrete-time singular system with time-varying delays. J. Frankl. Inst. 358(9), 4848–4863 (2021)MathSciNetCrossRef
Metadata
Title
Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy
Authors
Zufeng Peng
Junchao Ren
Publication date
29-05-2024
Publisher
Springer US
Published in
Circuits, Systems, and Signal Processing / Issue 9/2024
Print ISSN: 0278-081X
Electronic ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02708-z

Other articles of this Issue 9/2024

Self-Supervised Normalizing Flow for Jointing Low-Light Enhancement and Deblurring

CST-UNet: Cross Swin Transformer Enhanced U-Net with Masked Bottleneck for Single-Channel Speech Enhancement

Hermite Expansion Technique for Model Reduction of Circuit Systems with Delay Components

A Generalized Rearranged Coprime Array Configuration for Direction-of-Arrival Estimation with Increased Degrees of Freedom

  • Short Paper

Recovery Conditions in Weighted Sparse Phase Retrieval via Weighted Minimization

Filtering-Based Bias-Compensation Recursive Estimation Algorithm for an Output Error Model with Colored Noise