PD method-based H∞ control for discrete-time T-S fuzzy singular systems
In this paper,the control problem of a class of discrete-time T-S fuzzy singular systems is investigated.Firstly,the regularity and impulse-free of the singular system are ensured by designing a proportional plus dif-ferential state feedback controller.Based on Lyapunov theory,sufficient conditions are given to ensure that the system is stable and has H∞ performance.Then,strict linear inequalities are given in order to obtain the controller gain.Finally,numerical examples are given to prove the validity of the proposed method.The research results can provide theoretical support for PD control of T-S mode singular systems.
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