LMI conditions for non-quadratic stabilization of T-S models with pole placement assignation

This paper presents new non-Parallel-Distributed-Compensation (non-PDC) controllers design conditions for continuous-time Takagi-Sugeno (T-S) models with pole placement assignation. Based on the D-stability concept, a desired transient response may be obtained by placing the poles of the T-S closed-loop system in a specific region of the complex plan. After deriving standard non-quadratic D-stability conditions for the T-S closed-loop system, new relaxed LMI-based conditions are obtained from enhanced Fuzzy Lyapunov Functions (FLF), which involve a double sum fuzzy structure. The effectiveness of the proposed result is illustrated in simulation through the benchmark of a flexible robot with single joint.