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The problem of guaranteed cost Hinfin control was considered for uncertain stochastic systems with state and input-delays. Based on linear matrix inequality (LMI) method, Ito formula, and so on, a sufficient condition for the solvability of this problem is obtained. Attention is focused on the design of a linear memoryless state feedback controller, which ensures the closed-loop system is mean-square...
In this paper, we show a controller design method for a class of discrete-time nonlinear systems described in T-S(Takagi-Sugeno) fuzzy model, which has uncertainties in state and input. The robust and non-fragile fuzzy Hinfin controller is designed based on Lyapunov function theory, PDC(parallel distributed compensation) and PLMI (parameterized linear matrix inequality) method. Those ensure the asymptotically...
To a class of uncertain nonlinear discrete time delay systems, this paper considers the problem of non-fragile guaranteed-cost Hinfin controller design method. First, based on the stability criterion and linear matrix inequalities (LMIs) theory, a sufficient condition of the existence of the non-fragile guaranteed-cost Hinfin controller is established. Then the problem of control is solved via a robust...
In this paper, we provide a new delay-dependent stabilization scheme for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) Hinfin feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterizations for proportional-integral-derivative...
This paper addresses the problem of observer-based gain-scheduled Hinfin control for a class of linear parameter-varying systems with time-varying delays in the state. A new delay-dependent and parameter-dependent Hinfin performance criterion is developed with the parameter-dependent Lyapunov approach. Sufficient conditions are presented to design gain-scheduled controllers and state observers to...
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