research-article

Event-triggered anti-disturbance tracking control for semi-Markovian jump systems with exogenous disturbances and input saturation

Authors:

Qin WangAuthors Info & Claims

Volume 424, Issue C

https://doi.org/10.1016/j.amc.2022.127029

Published: 01 July 2022 Publication History

Abstract

Under the frame of event-triggered mechanism, this paper proposes a novel multi-objective anti-disturbance control algorithm for a class of typical semi-Markovian jump systems (S-MJSs) suffering with exogenous disturbances and input saturation. Different from those existing results of S-MJSs, the multi-objective control requirements need to be achieved. Firstly, both the T-S disturbance models and the corresponding disturbance observer (DO) are successively introduced to dynamically estimate those irregular disturbances. Secondly, by combining the saturated convex hull description with the designed event-triggered condition, an event-triggered anti-disturbance controller is designed to achieve effective monitoring of the augmented S-MJSs. Furthermore, not only the stochastic stability of closed-loop S-MJSs and disturbance estimation systems, but also the state/output constraints can be simultaneously guaranteed based on the designed asthenic infinitesimal generator optimization algorithm. Meanwhile, the dynamical tracking error is verified to converge to zero and the Zeno phenomenon can also be effectively avoided. Finally, simulation results for different types of disturbances are given to verify the meaning of the proposed algorithm.

References

[1]

O.L.V. Costa, M.D. Fragoso, M.G. Todorow, Continuous-time Markov Jump Linear System, Springer-Verlag, London, U.K., 2013.

[2]

J. Xiong, J. Lam, Robust h 2 control of Markovian jump systems with uncertain switching probabilities, Int. J. Syst. Sci. 40 (3) (2009) 255–265.

[3]

C.E.d. Souza, Robust stability and stabilization of uncertain discrete time Markovian jump linear systems, IEEE Trans. Autom. Control 51 (2006) 836–841.

[4]

Y. Zhang, Stability of discrete-time Markovian jump delay systems with delayed impulses and partly unknown transition probabilities, Nonlinear Dyn. 75 (2014) 101–111.

[5]

S.J. Rey, M.L.S. Gutierrez, Comparative spatial inequality dynamics: the case of mexico and the united states, Appl. Geogr. 61 (2015) 70–80.

[6]

W.H. Qi, G.D. Zong, H.R. Karimi, Sliding mode control for nonlinear stochastic singular semi-Markov jump systems, IEEE Trans. Autom. Control 65 (1) (2020) 361–368.

[7]

H. Shen, Y.Z. Men, Z.G. Wu, J.H. Park, Nonfragile h ∞ control for fuzzy Markovian jump systems under fast sampling singular perturbation, IEEE Trans. Fuzzy Syst. 48 (12) (2018) 2058–2069.

[8]

P. Shi, F. Li, L. Wu, C.C. Lim, Neural network-based passive filtering for delayed neutral-type semi-Markovian jump systems, IEEE Trans. Neural Netw. Learn. Syst. 28 (9) (2017) 2101–2114.

[9]

J. Huang, Y. Shi, Stochastic stability and robust stabilization of semi-Markov jump linear systems, Int. J. Robust Nonlinear Con. 23 (18) (2013) 2028–2043.

[10]

H.J. Liang, L.C. Zhang, Y.H. Sun, T.W. Huang, Containment control of semi-Markovian multiagent systems with switching topologies, IEEE Trans. Syst. Man Cybern. Syst. 51 (6) (2021) 2889–3899.

[11]

S.H. Kim, Stochastic stability and stabilization conditions of semi-Markovian jump systems with mode transition-dependent sojourn-time distributions, Inf. Sci. 385–386 (2017) 314–324.

[12]

W.H. Qi, Y.K. Hou, G.D. Zong, C.K. Ahn, Finite-time event-triggered control for semi-Markovian switching cyber-physical systems with FDI attacks and applications, IEEE Trans. Circuits Syst. I Reg. Papers 68 (6) (2021) 2665–2674.

[13]

X.M. Yao, Y. Lian, J.H. Park, Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems, Appl. Math. Comput. 363 (2019) 124597.

[14]

Z.P. Ning, L.X. Zhang, W.X. Zheng, Observer-based stabilization of nonhomogeneous semi-Markov jump linear systems with mode-switching delays, IEEE Trans. Autom. Control 64 (5) (2019) 2029–2036.

[15]

B.P. Jiang, Y.G. Kao, C.C. Gao, X.M. Yao, Passification of uncertain singular semi-Markovian jump systems with actuator failures via sliding mode approach, IEEE Trans. Autom. Control 62 (8) (2017) 4138–4143.

[16]

L. Zhang, H. Liang, Y. Sun, C.K. Ahn, Adaptive event-triggered fault detection scheme for semi-Markovian jump systems with output quantization, IEEE Trans. Syst. Man Cybern. Syst. 51 (4) (2021) 2370–2381.

[17]

J. Song, Y.G. Niu, H.K. Lam, Y.Y. Zou, Asynchronous sliding mode control of singularly perturbed semi-Markovian jump systems: application to an operational amplifier circuit, Automatica (2020),.

[18]

L.X. Zhang, B. Cai, T.Y. Tan, Y. Shi, Stabilization of non-homogeneous hidden semi-Markov jump systems with limited sojourn-time information, Automatica (2020),.

[19]

W.H. Qi, G.D. Zong, W.X. Zheng, Adaptive event-triggered SMC for stochastic switching systems with semi-Markov process and application to boost converter circuit model, IEEE Trans. Circuits Syst. I Regul. Pap. 68 (2) (2021) 786–796.

[20]

Y.J. Jin, W.H. Qi, G.D. Zong, Finite-time synchronization of delayed semi-Markov neural networks with dynamic event-triggered scheme, Int. J. Control Autom. Syst. 19 (6) (2021) 2297–2308.

[21]

W.H. Qi, G.D. Zong, H.R. Karimi, SMC for nonlinear stochastic switching systems with quantization, IEEE Trans. Circuits Syst. II Express Briefs 68 (6) (2021) 2032–2036.

[22]

G.D. Zong, W.H. Qi, Y. Shi, Advances on modeling and control of semi-Markovian switching systems: a survey, J. Franklin Inst. (2021),.

[23]

L. Guo, S.Y. Cao, Anti-disturbance control for systems with multiple disturbances, Boca Raton, CRC Press, 2013.

[24]

W.H. Chen, D.J. Ballanceand, P.J. Gawthrop, A nonlinear disturbance observer for robotic manipulators, IEEE Trans. Ind. Elect. 47 (4) (2000) 932–938.

[25]

S.H. Li, J. Yang, W.H. Chen, Disturbance Observer Based Control: Methods and Applications, CRC Press, Boca Raton, 2014.

[26]

H. Liu, L. Guo, Y.M. Zhang, Anti-disturbance control based on disturbance observer for nonlinear systems with bounded disturbances, Nonlinear Dyn. 67 (3) (2012) 2081–2088.

[27]

M. Chen, S.H. Xiong, Q.X. Wu, Tracking flight control of quadrotor based on disturbance observer, IEEE Trans. Syst. Man Cybern. Syst. 51 (3) (2021) 1414–1423.

[28]

J.W. Wang, K.R. Chen, Q.L. Liu, Q.H. Ma, Sliding-mode consensus algorithms for disturbed second-order multi-agent systems, Nonlinear Dyn. 95 (3) (2019) 2181–2195.

[29]

L.F. Ma, H.B. Sun, G.D. Zong, Feedback passification of switched stochastic time-delay systems with multiple disturbances via DOBC, Int. J. Robust Nonlinear Con. 30 (4) (2020) 1696–1718.

[30]

X.M. Yao, J.H. Park, L.G. Wu, L. Guo, Disturbance-observer-based composite hierarchical anti-disturbance control for singular Markovian jump systems, IEEE Trans. Autom. Control 64 (7) (2019) 2875–2882.

[31]

S. Kuppusamy, Y.H. Joo, Memory-based integral sliding-mode control for T-S fuzzy systems with PMSM via disturbance observer, IEEE Trans. Cybern. 51 (5) (2021) 2457–2465.

[32]

J. Yang, H.Y. Cui, S.H. Li, A. Zolotas, Optimized active disturbance rejection control for DC-DC buck converters with uncertainties using a reduced-order GPI observer, IEEE Trans. Circuits Syst. I Reg. Papers 65 (2) (2018) 832–841.

[33]

Y. Yi, W.X. Zheng, C.Y. Sun, L. Guo, DOB fuzzy controller design for non-gaussian stochastic distribution systems using two-step fuzzy identification, IEEE Trans. Fuzzy Syst. 24 (2) (2016) 401–418.

[34]

Y. Yi, W.X. Zheng, B. Liu, Adaptive anti-disturbance control for systems with saturating input via dynamic neural network disturbance modeling, IEEE Trans. Cyber. (2020),.

[35]

Y. Yi, X.X. Fan, T.P. Zhang, Anti-disturbance tracking control for systems with nonlinear disturbances using T-S fuzzy modeling, Neurocomputing, 171 (2016) 1027–1037.

[36]

Y.L. Li, Z.L. Lin, A complete characterization of the maximal contractively invariant ellipsoids of linear systems under saturated linear feedback, IEEE Trans. Autom. Control 85 (2015) 179–185.

[37]

T.S. Hu, Z.L. Lin, Control Systems with Actuator Saturation: Analysis and Design, Birkhauser, Boston, MA, 2001.

[38]

B. Zhou, W.X. Zheng, G.R. Duan, An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation, Automatica 47 (2) (2011) 306–315.

[39]

H.H. Pan, W.C. Sun, H.J. Gao, X.J. Jing, Disturbance observer-based adaptive tracking control with actuator saturation and its application, IEEE Trans. Autom. Sci. Eng. 13 (2) (2016) 868–875.

[40]

Y.L. Wei, W.X. Zheng, S.Y. Xu, Anti-disturbance control for nonlinear systems subject to input saturation via disturbance observer, Syst. Control Lett. 85 (2015) 61–69.

[41]

K. Astrom, B. Bernhardsson, Comparison of periodic and event based sampling for first-order stochastic systems, Proc. the 14th IFAC World Congress, 1999, pp. 301–306.

[42]

P. Tabuada, Event-triggered real-time scheduling of stabilizing control tasks, IEEE Trans. Autom. Control 52 (9) (2017) 1476–1485.

[43]

D. Yue, E. Tian, Q. Han, A delay system method for designing event-triggered controllers of networked control system, IEEE Trans. Autom. Control 58 (2) (2013) 475–481.

[44]

P. Chen, F.Q. Li, A survey on recent advances in event-triggered communication and control, Inf. Sci. 457 (2018) 113–125.

[45]

J.F. Zhang, S.H. Zhang, P. Lin, Event-triggered model predictive control of positive systems with random actuator saturation, Nonlinear Dyn. 105 (1) (2021) 417–437.

[46]

A. Selivanov, E. Fridman, Event-triggered h ∞ control: a switching approach, IEEE Trans. Autom. Control, 61 (10) (2016) 3221–3226.

[47]

J.L. Liu, Y.Y. Gu, L.J. Zha, Y.J. Liu, J. Cao, Event-triggered h ∞ load frequency control for multiarea power systems under hybrid cyber attacks, IEEE Trans. Syst. Man Cybern. Syst. 49 (8) (2019) 1665–1678.

[48]

Y. Xu, M. Fang, Z.G. Wu, Y.J. Pan, M. Chadli, T.W. Huang, Input-based event-triggering consensus of multiagent systems under denial-of-service attacks, IEEE Trans. Syst. Man Cybern. Syst. 50 (4) (2020) 1455–1464.

[49]

S.L. Hu, D. Yue, Q.L. Han, X.P. Xie, X.L. Chen, C.X. Dou, Observer-based event-triggered control for networked linear systems subject to denial-of-service attacks, IEEE Trans. Cybern. 50 (5) (2020) 1952–1964.

[50]

H.Y. Li, Z.X. Zhang, H.C. Yan, X.P. Xie, Adaptive event-triggered fuzzy control for uncertain active suspension systems, IEEE Trans. Cybern. 49 (12) (2019) 4388–4397.

[51]

W.Y. Mu, F. Qiu, B. Zhuang, L.G. Chen, Optimal actuator switching synthesis of observer-based event-triggered state feedback control for distributed parameter systems, J. Frankl. Inst. 358 (1) (2021) 384–399.

[52]

V. Dolk, D. Borgers, W.P.M.H. Heemels, Output-based and decentralized dynamic event-triggered control with guaranteed l p-gain performance and zeno-freeness, IEEE Trans. Autom. Control 62 (2017) 34–49.

Cited By

Adloo HShafiei M(2023)Observer-based adaptive event-triggered control method for input-saturated systemsApplied Mathematics and Computation10.1016/j.amc.2023.128235458:COnline publication date: 1-Dec-2023
https://dl.acm.org/doi/10.1016/j.amc.2023.128235

Index Terms

Event-triggered anti-disturbance tracking control for semi-Markovian jump systems with exogenous disturbances and input saturation

Index terms have been assigned to the content through auto-classification.

Recommendations

Anti-disturbance tracking control for systems with nonlinear disturbances using T-S fuzzy modeling

This paper addresses a novel anti-disturbance dynamical tracking problem for a class of MIMO systems subject to unknown disturbances and nonlinear dynamics. Different from some traditional anti-disturbance results, T-S fuzzy models are firstly employed ...
Decentralized prescribed performance adaptive tracking control for Markovian jump uncertain nonlinear systems with input saturation

A decentralized prescribed performance adaptive tracking control problem is investigated for Markovian jump uncertain nonlinear interconnected large-scale systems. The considered interconnected large-scale systems contain unknown nonlinear uncertainties,...
Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer

This paper is concerned with the problems of composite disturbance-observer-based control (DOBC) and @?"~ control for Markovian jump systems with nonlinearity and multiple disturbances. Our aim is to design a disturbance observer to estimate the ...

Comments

Information & Contributors

Information

Published In

cover image Applied Mathematics and Computation

Applied Mathematics and Computation Volume 424, Issue C

Jul 2022

398 pages

ISSN:0096-3003

Issue’s Table of Contents

Copyright © 2022.

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 01 July 2022

Author Tags

Qualifiers

Research-article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

1
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 14 Sep 2024

Other Metrics

View Author Metrics

Citations

Cited By

Adloo HShafiei M(2023)Observer-based adaptive event-triggered control method for input-saturated systemsApplied Mathematics and Computation10.1016/j.amc.2023.128235458:COnline publication date: 1-Dec-2023
https://dl.acm.org/doi/10.1016/j.amc.2023.128235

View Options

View options

Get Access

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

Media

Figures

Other

Tables

View Issue’s Table of Contents