Input-Output Approach to Control for Fuzzy Markov Jump Systems With Time-Varying Delays and Uncertain Packet Dropout Rate

This paper is concerned with H ∞ control problem for a class of discrete-time Takagi-Sugeno fuzzy Markov jump systems with time-varying delays under unreliable communication links. It is assumed that the data transmission between the plant and the controller are subject to randomly occurred packet d...

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Vydané v:IEEE transactions on cybernetics Ročník 45; číslo 11; s. 2449 - 2460
Hlavní autori: Zhang, Lixian, Ning, Zepeng, Shi, Peng
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: United States IEEE 01.11.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Approximation methods
Closed loop systems
Control systems
Controllers
Delay
Delay effects
Delays
Dropouts
Fuzzy
Fuzzy set theory
Gain
H∞ control
Markov jump systems
Markov processes
Robots
scaled small gain (SSG) theorem
Stability analysis
Takagi > Sugeno (T-S) fuzzy systems
time-varying delays
Time-varying systems
unreliable communication links
boldsymbol {H}_{\infty } control
Markov jump systems
scaled small gain (SSG) theorem
unreliable communication links
Takagi–Sugeno (T-S) fuzzy systems
time-varying delays
ISSN:2168-2267, 2168-2275, 2168-2275
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Popis
Shrnutí:This paper is concerned with H ∞ control problem for a class of discrete-time Takagi-Sugeno fuzzy Markov jump systems with time-varying delays under unreliable communication links. It is assumed that the data transmission between the plant and the controller are subject to randomly occurred packet dropouts satisfying Bernoulli distribution and the dropout rate is uncertain. Based on a fuzzy-basis-dependent and mode-dependent Lyapunov function, the existence conditions of the desired H ∞ state-feedback controllers are derived by employing the scaled small gain theorem such that the closed-loop system is stochastically stable and achieves a guaranteed H ∞ performance. The gains of the controllers are constructed by solving a set of linear matrix inequalities. Finally, a practical example of robot arm is provided to illustrate the performance of the proposed approach.
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ISSN:2168-2267
2168-2275
2168-2275
DOI:10.1109/TCYB.2014.2374694