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The robust output feedback stabilization problem for uncertain discrete-time Markov jump descriptor systems with time-varying delays is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the discussed system is transformed into a discrete-time Markov jump standard linear system with time-varying delays. Then by discussing the transformed...
This paper focuses on the problem of non-fragile static output feedback control for a class of T-S fuzzy bilinear systems (FBS). Based on the parallel distributed compensation (PDC) approach, the sufficient conditions are derived such that the closed-loop system is asymptotically stable in the presence of the additive controller gain perturbations. The stabilization conditions are further formulated...
This paper deals with the reliable control for uncertain singular systems with time-varying delay. Based on integral inequality, an linear matrix inequality (LMI) approach is developed to design desired state feedback controllers, such that the closed-loop system is regular, impulse free and stable for all admissible actuator failures. All the obtained results are formulated by strict LMI involving...
The robust output feedback stabilization problem for discrete-time Markov jump singular systems with parameter uncertainties is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markov jump standard linear system, then by discussing the transformed system, the output feedback controller...
This paper is concerned with the design problem of robust Hinfin reliable controller for nonlinear singular stochastic systems with actuator failures via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties. The objective is to design a state feedback fuzzy controller such that, for all...
This paper investigates the problem of robust guaranteed control for sampled-data systems with time-varying norm-bounded parametric uncertainties in the state matrix and input matrix. Attention is focused on the design of a causal dynamic output feedback sampled-data controller which guarantees the asymptotical stability of the closed-loop system and the quadratic performance index less than a certain...
An observer-based robust predictive control algorithm for singular systems with convex polytopic uncertainties is presented by linear matrix inequality formulation. By constructing the Lyapunov function with the error term, the infinite time domain dasiamin-maxpsila optimization problems are converted into linear programming problems, the sufficient conditions for the existence of observer-based robust...
This paper investigates the problem of output feedback robust Hinfin controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrix and input matrix. Attention is focused on the design of a causal output feedback sampled-data controller which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance...
The problem of static output feedback fuzzy control for a class of nonlinear fuzzy impulsive time-delay systems is investigated by employing Lyapunov functions. A new scheme of robust fuzzy control via linear matrix inequality (LMI) technique is proposed. The so-called parallel distributed compensation (PDC) idea is employed to design the static output feedback controller. Sufficient conditions for...
This paper investigates the problem of delay-dependent robust Hinfin control for uncertain singular systems with time-varying state delay. The considered systems are not necessarily assumed to be regular and causal. In terms of linear matrix inequality (LMI)approach, a delay-dependent stabilizable criterion is given to ensure the nominal system to be regular, impulse-free and stable. Based on the...
The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an Hinfin norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based...
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