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This paper considers the guaranteed cost control problem for a class of uncertain discrete T-S fuzzy systems with time delay and a given quadratic cost function.Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequalities(LMI) approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law.A convex optimization problem is also formulated to select the optimal guaranteed cost controller that minimizes the upper bound of the closed-loop cost function.Finally,numerical examples are presented to demonstrate the effectiveness of the proposed approaches.
This paper considers the guaranteed cost control problem for a class of uncertain discrete TS fuzzy systems with time delay and a given quadratic cost function. Such efficient controls for the existence of such controllers are derived based on the linear matrix inequalities (LMI) approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law. A convex optimization problem is also formulated to select the optimal guaranteed cost controller that minimizes the upper bound of the closed-loop cost function. Finaally, numerical examples are presented to demonstrate the effectiveness of the proposed approaches.