基于快速输出采样的MIMO离散系统变结构控制

Variable structure control for MIMO discrete-time systems using fast output sampling feedback

针对一类含有界扰动的多输入多输出离散时间线性系统,采用快速输出采样反馈技术(FOS),设计了离散变结构控制器,并给出了确定控制器参数的方法,且未知扰动的界已知但不要求满足匹配条件。理论分析表明,所设计的控制器能保证闭环系统是有界稳定的,无需利用系统的状态作为反馈而仅利用输出采样来设计控制器,因而具有较强的实用性且易于实现。通过仿真验证了结论的有效性。

A discrete variable structure control using the FOS（fast output sampling） feedback technique is presented for a class of MIMO （multi-input multi-output） discrete-time linear systems including bounded disturbance. The method to determine the parameters of the controller is also given. The disturbance doesn＇ t need to satisfy the match condition and the boundary of the disturbance is known. Theoretical analyses show that the control strategy can guarantee the stability of the closed-loop system. This methodology doesn＇ t need the system states for feedback as it makes use of only the output samples to design the controller. Thus, it is more practical and easy to implement. Finally, an illustrative example is presented to demonstrate the validity of the results.