Man Sun

Delay-dependent H ∞ control for LPV systems with time delays

In this paper, the delay-dependent H∞ control problem is considered for Linear Parameter-Varying (LPV) systems with time-varying delays. By using a descriptor model transformation of the system and by applying Parks inequality for bounding cross terms, some sufficient conditions on H∞ performance analysis are given in terms of Linear Matrix Inequalities (LMIs). Based on these conditions the state-feedback controller is designed. A numerical example is included to illustrate the proposed method.

Robust H ∞ control for a class of uncertain neutral time-delay systems via dynamic output feedback

In this paper, the robust Hinfin control problem is considered for uncertain neutral systems with discrete and distributed time delays. By using new Lyapunov-Krasovskii functionals, some sufficient conditions on Hinfin robust performance analysis are given in terms of linear matrix inequalities (LMIs). Based on these conditions the dynamical output feedback controller are designed. Numerical examples are included to illustrate the proposed method.

Robust H ∞ control of time-delay systems with polytopic uncertainty

In this paper, an improved Hinfin performance criterion is derived for a class of time-delay systems. It partially rules out the technical restriction of using a single Lyapunov function, and therefore, is less conservative when used in robust performance analysis and synthesis problems. Based on the criterion, robust Hinfin state-feedback controller is designed. Furthermore, multichannel Hinfin dynamic output-feedback control problem is also considered. A numerical example is included to illustrate the obtained results.

Delay-Dependent Robust Control of Time-Delay Systems with Polytopic Uncertainty

In this paper, the delay-dependent H∞ performance criterion which possesses decoupling structure is derived for systems with time-varying delay. It can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Then the robust H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms of the linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of our solutions as compared to results obtained by other methods.