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Delay systems may be encountered stochastic perturbation, and the stability conditions of such systems are different from delay systems and stochastic systems. This paper considers the problems of robust stabilization for 2-D state-delayed system in Roesser model (RM) with stochastic perturbation for the first time. Delay-dependent sufficient stability conditions are derived in terms of linear matrix...
The paper considers robust H2 control problem of continuous-time interval state-space systems. A necessary and sufficient LMI-based condition is derived for analysis of quadratic stability and robust H2 control. Using the analysis result, a state feedback controller and a static output feedback controller can be designed so that the closed-loop interval state-space system is quadratically stable and...
In this paper, the robust H?? guaranteed cost control problem for nonlinear time delay discrete two dimensional (2-D) systems is investigated, the nonlinear elements of systems satisfies Lipschitze condition, based on the stability theorem and linear matrix inequalities (LMI), firstly a sufficient condition of the controller existence is established, then the solvability of the robust controller designing...
In this paper, the notions of generalized quadratic stability and generalized quadratic stabilizability are introduced to fuzzy descriptor systems with norm-bounded time-varying uncertainties in both the state and input matrices. The conditions for generalized quadratic stability and generalized quadratic stabilizability are deduced respectively, and the appropriate state feedback controller is given.
This paper deals with the condition of stability and the control strategy for the discrete-time singular dynamic Leontief input-output model. A new mathematic method called linear matrix inequality is applied to the study of the singular dynamic input-output systems. With this tool, we need not convert singular systems into general systems. A sufficient stable condition under which the economic discrete-time...
This paper investigates the stability and control of some input-delayed switched systems while delays contain constant delays and time-varying delays. Based on the reduction method, Lyapunov stability theory and LMI approach, a state feedback controller, a switching strategy and the stabilization conditions of the system are proposed. Finally, we use a simple model to proof that the controller using...
This paper is concerned with the problem of robust model predictive control for discrete-time systems with packet losses. A stochastic process satisfying Bernoulli random binary distribution is utilized to model the packet losses, and a parameter dependent Lyapunov function is adopted to reduce the conservatism. The aim is to design a state feedback controller which minimizes an upper bound on a quadratic...
It has become a common practice to employ networks in control systems for connecting controllers and sensors/actuators on controlled plants and processes. A networked switched control system, as a special case of networked control systems, is studied. Such a system is represented with network-induced delay and packet dropout as a switched delay system. Sufficient conditions for robust exponential...
Based on the robust invariant set, Hinfin controller designing problem for uncertain discrete time-delay system with disturbance and input constraint is considered in this paper. At first, a state feedback controller was designed, when the disturbance belongs to a convex polytope, a control invariant set was derived based on the revised Lyapunov Krasovskii function, and inside this control invariant...
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