不确定系统的弹性保性能控制器设计

Resilient Guaranteed Cost Controller Design for Uncertain Systems

为了解决鲁棒控制器中的脆性问题,在范数有界不确定性系统的状态反馈鲁棒保性能控制的基础上,基于线性矩阵不等式(LMI)的方法,提出了不确定系统的状态反馈弹性保性能控制器的设计方法。主要针对状态矩阵和控制输入矩阵同时存在范数有界不确定性,以及控制器增益存在加法式摄动的情形,以严格线性矩阵不等式约束条件给出了状态反馈弹性保性能控制器存在的充分必要条件。并给出了控制器以及相应的性能指标上界的显示表达式。最后,通过对发动机转速的实例仿真证明了该方法的可行性。

On the bases of the robust guaranteed cost state-feedback control design for uncertain systems, resil- ient guaranteed cost state-feedback controller design for uncertain systems is proposed via the linear matrix inequali- ty. It can solve the robust controller＇ s fragile. Under the norIn-bounded uncertainties in both the state and the in- put matrices and the additive gain perturbations, the sufficient and necessary conditions for the existence of the re- silient guaranteed cost state-feedback controller is presented in the form of a strict linear matrix inequality. The ex- plicit expression for the desired controller and corresponding performance index upper bound is also given. Finally, the numerical example of engine speed is given to illustrate the feasibility of the proposed design method.