Dynamic Output Feedback Control Based on Descriptor Redundancy Approach for Networked Control Systems With Multiple Mixed Time-Varying Delays and Unmatched Disturbances

This paper studies the dynamic output feedback control for a class of nonlinear uncertain Takagi–Sugeno (T–S) fuzzy networked control systems with multiple mixed time-varying delays and unmatched disturbances. The T–S fuzzy model is employed to approximate the nonlinear uncertain networked control system. The dynamic output feedback controller is constructed based on the T–S fuzzy model and descriptor redundancy approach. The nonquadratic stability conditions in the form of linear matrix inequalities (LMIs) are derived by introducing the descriptor redundancy approach and nonquadratic fuzzy Lyapunov functional, such that the solutions of the closed-loop system converge to an adjustable bounded region. Then, the control design conditions are relaxed and design flexibility is enhanced. By introducing the descriptor redundancy approach and nonquadratic fuzzy Lyapunov functional, the numerous crossing terms in the LMIs are avoided in the control system design. Finally, two simulation examples are performed to show the effectiveness of the proposed methods.