Multi-constrained Fuzzy Control for Perturbed T–S Fuzzy Singular Systems by Proportional-Plus-Derivative State Feedback Method

This paper investigates the design problem of the proportional-plus-derivative state feedback fuzzy controller for the Takagi–Sugeno fuzzy singular systems, which considering the influence of internal perturbations and external noises. To solve the perturbation problem in the control system simply and concisely, the benefit of employing a robust control approach is proposed. Considering the perturbed Takagi–Sugeno fuzzy singular systems with external noises, the Lyapunov stability theory is chosen to derive the stability conditions with passivity constraints. To bring better transient performance for the controlled systems, the decay rate constraint is also adopted. These sufficient stability conditions can be effectively transferred into the linear matrix inequality problem. Finally, an example is used to verify the proposed robust fuzzy controller design method’s applicability and effectivity.