基于模糊双曲模型的可靠控制器设计

Design of reliable controller based on fuzzy hyperbolic model

考虑执行器出现故障,提出一种基于模糊双曲模型(FHM)的可靠保性能控制策略.首先用模糊双曲模型表述一类离散非线性系统,建立基于模糊双曲模型的控制器;然后通过LMI方法设计该控制器,以保证系统在正常状况和执行器出现故障时都是渐近稳定的,并通过求解一个基于LMI的优化问题,得到最优的控制器增益矩阵,使得保性能指标的上界最小.仿真结果表明了该方法的有效性.

A reliable guaranteed cost control problem based on fuzzy hyperbolic model （FHM） with actuator faults is proposed. An FHM is employed to represent a class of discrete-time nonlinear systems and the controller based on FHM is established. The controller obtained in terms of linear matrix inequality （LMI） can guarantee the stability of the closed-loop system in the normal and actuator fault cases. Furthermore, an optimal controller gain matrix is obtained solving an LMI optimization procedure, which can minimize a bound on guaranteed cost. Finally, simulation results show the effectiveness of the proposed method.