An anti-windup design to robust H∞ control for singular Markovian jump systems with actuator saturation and general unknown transition rates

Kao, Yonggui; Xie, Jing; Wang, Changhong

doi:10.1016/j.jfranklin.2015.07.013

Cited by 11 publications

(1 citation statement)

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“…In another research front line, a great deal of attention has been devoted to a class of Markovian jump systems with generally uncertain transition rates (GUTRs) in recent years. Many encouraging development have been made on this hot topic, such as stability and stabilization [31]- [34], output feedback control [35], H ∞ control [36], [37], passivity and passification [38], delay-dependent H ∞ filtering [39] and so on. The main reason for focusing on such systems can be embodied by the following twofold: one hand, Markovian jump systems can model some dynamics systems whose structure and parameters often suffered random abrupt variations such as component repairs and failures, sudden environmental disturbances [40]- [43].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Stochastic $H_\infty$ Control for Singular Markovian Jump Systems With $(x,v)$ -Dependent Noise and Generally Uncertain Transition Rates

Zhao

Zhang

et al. 2019

IEEE Access

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This paper is concerned with the problems of finite-time stochastic H ∞ control for singular Itô Markovian jump systems with (x, v)-dependent noise and generally uncertain transition rates (GUTRs). Based on two equivalent sets, a new criterion, ensuring the considered systems with completely known TRs to be finite-time stochastically bounded with H ∞ performance, is first established, which is less conservative than the existing one. Then, the obtained results are extended to the case of GUTRs. To overcome the nonlinear difficulty resulting in the Young inequality for designing a convex controller, an approach called the association of free variables and slack variables are used. The state feedback controller and observerbased controller are respectively designed such that the corresponding closed-loop systems with GUTRs are finite-time stochastically bounded while achieving H ∞ performance. Finally, the numerical examples are addressed to illustrate the effectiveness and efficiency of our obtained results. INDEX TERMS Singular stochastic Itô systems, Markov jump systems, finite-time H ∞ control, generally uncertain transition rates.

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