Decentralized Control for Time-Delay Interconnected Systems Based on T-S Fuzzy Bilinear Model

Abstract

The paper presents the problem of decentralized state feedback control for nonlinear interconnected systems with time-varying delay in both states and inputs which is composed by a number of Takagi-Sugeno (T-S) fuzzy bilinear subsystems with interconnections. Based on the Lyapunov criterion and the parallel distribute compensation scheme, the delay-dependent stabilization sufficient conditions are derived for the whole close-loop fuzzy interconnected systems. The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality (LMI) constraints. Finally, a simulation example shows the effectiveness of the proposed approach.

Keywords

• Nonlinear interconnected system
• Decentralized control
• Delay-dependent
• Linear matrix inequality (LMI)
• Fuzzy bilinear model.