多输入离散时滞系统的保性能变结构控制

Guaranteed Cost Variable Structure Control for Multi-input Discrete Systems with Control Delay

针对多输入离散时滞系统,给出了一个保性能滑模变结构控制设计方法。首先利用状态变换将离散时滞系统化成为无时滞的离散系统形式,然后用线性矩阵不等式和保性能控制求解出切换函数的设计参数。该方法不仅既保证了滑动模态渐近稳定,又使得给出的性能指标有界。另外给出了一个新的变结构控制律设计方法,可以有效的抑止了滑动模态的抖振,克服了常规方法系统状态不能渐近到达原点的缺点。仿真结果表明了方法的有效性。

Aiming at multi-input discrete systems with control delay, a guaranteed cost sliding mode design method was proposed. First, the discrete systems with control delay were transferred into the form with control delay free, then the parameters of switching function were solved using linear matrix inequalities （LMIs） and Guaranteed cost control. By using the method, the sliding mode was not only asymptotically stable but also guaranteed an adequate level performance. Then a new variable controller was given, and it effectively restrained Chatter. The simulation results verify the validity of the proposed approach.