Designing an Optimal Reset Controller for TS Fuzzy Systems
针对TS模糊非线性系统，设计了一种重置动态输出反馈控制器，通过遗传算法优化重置时刻，实现闭环系统指数收敛，并在两个非线性系统上验证了优越性。
This study considers the problem of designing a reset dynamic output feedback controller (R-DOFC) for continuous-time nonlinear dynamics modeled by a Takagi–Sugeno (TS) fuzzy form. The exponential convergence of the closed-loop system state trajectories to the equilibrium point is satisfied by designing the fuzzy dynamic output feedback controller (DOFC) without reset action via the linear matrix inequality (LMI) technique. After that, by developing an optimization problem, the after-reset value is designed by using system output measurements at each reset time. In this approach, a genetic algorithm is adopted to minimize the proposed cost function of certain transient performances to achieve the best reset time instants. Moreover, sufficient conditions for choosing the DOFC after-reset value are formulated in the form of LMIs. The proposed reset fuzzy DOFC is applied to two nonlinear systems. The merits of the proposed reset DOFC are demonstrated by comparing the obtained results with those of other approaches.