一类广义系统的有限时间鲁棒耗散控制

Finite-Time Robust Dissipative Control for a Class of Descriptor Systems

针对一类双边模糊模型描述下的模糊广义系统,考虑了其具有参数不确定性和外部扰动时的有限时间稳定性问题,利用线性矩阵不等式(LMIs)技术,给出了该类模糊广义系统有限时间稳定的充分条件;设计了基于平行分布补偿(PDC)的有限时间鲁棒控制器,有效地将控制系统在给定的时间区域内限定在期望的状态空间椭球内,使系统在给定的有限时间区域内和零初始状态下可以达到相应的耗散性能.数值算例的仿真结果说明了所给方法的有效性.

With parameters uncertainty and external disturbance considered, the sufficient condition of the finite-time robust stability under twin-fuzzy rules for a class of descriptor systems was described using linear matrix inequalities （LMIs）. Based on the parallel distribution compensation （PDC）, a robust dissipative controller under twin-fuzzy rules was designed to guarantee dissipative performance of uncertain and disturbed fuzzy descriptor systems in a finite- time interval. The control system was effectively confined within the desired state-space ellipsoid. A numerical example applied to inverted pendulum model was given to demonstrate the efficiency of the proposed approach.