具有外部干扰的不确定广义系统有限时间鲁棒控制

Finite-time robust control for uncertain singular system with exogenous disturbance

研究具有外部干扰的不确定连续广义系统的有限时间鲁棒镇定问题,系统的状态和输入矩阵不确定性是时不变且模有界的,通过设计系统的状态反馈控制器,使对所有允许的不确定性,闭环系统均为正则、脉冲自由且有限时间有界。采用线性矩阵不等式方法,对具有外部干扰的不确定连续广义系统的有限时间鲁棒有界和状态反馈控制器鲁棒镇定进行了分析,给出了有限时间鲁棒控制器的设计方法。仿真例子验证了所给方法的有效性。

In order to design the state feedback controller and make the resulting closed-loop system regular,impulse free and finite-time bounded,the problem of finite-time robust control for uncertain continuous-time singular systems with exogenous disturbances(UCSSED)subject to time-invariant norm-bounded unstructured in the state and input matrices is considered here.The analyses of the robust finite-time bounded and the robust finite-time stabilization for the UCSSED are done via LMI approach.The design approach of the finite-time robust state feedback controller is also given.Finally,an illustrative example is provided to show the effectiveness of the proposed approach.