Renquan Lu

Robust

This brief is concerned with the robust D-stability problem for a class of complex singularly perturbed systems with state delay. According to singular system approach, sufficient conditions, which are tested easily, are obtained by introduce delay-dependent state feedback, to ensure that the two-time-scale systems are regular, impulse free and D -stable, that is, all its poles are located with a specified disk for all small positive parameter epsiv isin (0,epsiv*) .

D

This paper deals with the problem of dissipative control for stochastic descriptor systems with time-delays based on the extended Itô stochastic differential formula. We consider the design of a state-feedback dissipative controller such that the closed-loop systems is mean-square asymptotically stable and strictly (Q, S,R) - dissipative. A sufficient condition on the existence of dissipative controllers is established by means of the singular stochastic Lyapunov methods and linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

-Stability for a Class of Complex Singularly Perturbed Systems

The paper deals with the problem of Hinfin output feedback control for the stochastic singular systems with time-varying norm-bounded parameter uncertainties and random state which are subject to stochastic disturbances. The problem addressed is to design a output feedback controller such that the resulting closed-loop system is regular, impulse free and mean-square stable for all admissible uncertainties and a prescribed Hinfin performance is achieved. Finally, an illustrative example is given to demonstrate the effectiveness of the presented method.

Dissipative control for stochastic descriptor systems with time-delays

The guaranteed cost control problem for a class of nonlinear singular systems with time-delay is studied in this paper. The problem is to design a memoryless state feedback controller such that the closed-loop system is asymptotically stable and the closed-loop cost function value is less than a specified upper bound for all admissible uncertainties. A sufficient condition for the existence of such controllers is presented in terms of the solvability to a certain system of LMIs, and a parametrized representation of a set of guaranteed cost controllers is provided by the feasible solutions to the system of LMIs. Furthermore, a procedure is given to select an optimal guaranteed cost control law in the sense of minimizing the upper bound of the cost function

Robust H ∞ output feedback control for uncertain stochastic singular systems

This article is concerned with the problem of H∞ filtering for output PDFs of the stochastic singular dynamics which is modeled by B-spline functions. For a given stochastic singular system, the purpose is to design static and dynamical filter such that resulting filtering error system is regular, impulse free and mean-square stable and guarantees H∞ performance. We also derive sufficient linear matrix inequality(LMI) conditions for the existence of such a filter with free variables. Finally, we give a numerical example to show the effectiveness of the proposed method.