Cun-chen Gao

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A new discrete reaching law which is true of the ldquosix charactersrdquo given by Gao Wei-Bing is introduced in this paper. Then the control law is designed by using the discrete reaching law, and the method how to design a variable structure control of discrete system with time-delay is also introduced; It is manifested that the discrete control system(More)
In this paper, the design of variable structure control (VSC) for uncertain discrete systems with time-delays is considered. The original uncertain discrete system with time-delay is simplified to uncertain discrete system without time-delay. Using exponential reaching law, the reason of causing uncertain discrete system without time-delay chattering is(More)
The original discrete uncertain system with time-delay is simplified to a discrete uncertain system without time-delay and a switching function is designed in which the movement of system is asymptotically stable. Then a variable structure controller is designed, which can force the system trajectory arrive at the quasi-switching manifold in limited steps(More)
In this note, the original discrete uncertain system with time-delay is simplified to a discrete uncertain system without time-delay and a switching function is designed to guarantee that the movement of the system is asymptotically stable in the switching manifold. Then a discrete robust adaptive quasi-sliding-mode tracking controller is presented by the(More)
Synthesis problem of variable structure control (VSC) for discrete-time singular system (DSS) with internal parameter perturbation and external disturbance is considered in this paper. The dynamic switching function which is used to guarantee the stability of the control system in the switching band is provided. The discrete singular reaching law with(More)
In this paper, the design of variable structure control (VSC) for discrete systems with time-delays is considered. The original discrete system with time-delay is simplified to discrete system without time-delay. By analyzing the disadvantage of the exponential reaching law and the variable rate reaching law, an improved discrete reaching law for(More)
In this paper, variable structure control for Itô stochastic systems with Markovian jump has been investigated. By means of linear matrix inequalities, the suitable sliding surfaces are given firstly. Then in order to guarantee that the sliding motions on the specified sliding surfaces are stochastically stable with some prescribed disturbance(More)
The optimal sliding mode surface and variable structure control (VSC) are proposed for linear discrete singular system. Firstly, the system is decomposed into two low dimensional subsystems by a restricted system equivalent decomposed method. Secondly, the sliding mode controller is designed based on the restricted equivalent subsystems. The quadratic(More)
The stabilization problems are discussed for the interval coefficients nonlinear time-invariant large scale continuous control system with multi-group multi-delay. The result of the robust stability of interval coefficients nonlinear time-invariant control system with multi-group multi-delay is obtained, by using the robust stability equivalent method. An(More)
Chattering-free sliding mode control (SMC) for discrete-time singular systems (DSS) with internal parameter perturbation and external disturbance is considered in the paper. The dynamic switching function is used to guarantee the stability of the DSS in switching band. The discrete ideal reaching law of the DDS is designed to eliminate the restriction of(More)