Chapter Five - Fuzzy model predictive control of discrete nonlinear systems with time-varying delay

Abstract

This work aims to introduce a model predictive control strategy for nonlinear time-delay systems. In particular, unknown time-varying delay is considered instead of the traditional constant delay. Therefore the proposed method can be applied to both systems with known delays and unknown delays. The former one can be regarded as a particular case of the latter one. To solve this time-delay control problem, the Lyapunov–Razumikhin function is adopted rather than the Lyapunov–Krasovskii functional. Note that the complexity in controller design and computation can be significantly reduced by the proposed method. In addition, the Takagi–Sugeno fuzzy systems are employed to represent nonlinear systems. Simulation results on a continuous stirred-tank reactor (CSTR) system are illustrated to verify the effectiveness of the proposed model predictive control approach.