离散系统量化H_(_infinity)控制器设计

Design of H_(_infinity) controller for discrete system with quantized measurements

以线性离散时间系统模型为研究对象,提出了一种考虑量化器存在的H_(_infinity)控制器设计方法。该方法充分利用Lyapunov函数系统稳定性理论,参照H_(_infinity)性能指标为设计依据,通过线性矩阵不等式(LMI)处理方法,所设计的控制器存在条件以线性矩阵不等式的形式给出,不同于一般的控制器设计方法,本文的系统测量输出传送到观测器时经过一个量化器。最后,运用MATLAB软件LMI工具箱及Simulink仿真功能,通过一个数值实例对本文提出方法的有效性进行仿真验证分析。

According to the linear discrete system,aH_infinity controller with quantized measurements is designed in this thesis.By using Lyapunov function method fully,the sufficient condition of the controller that is obtained meet H_infinity performance index via linear matrix inequality（LMI）method.Compared with previous controller designing methods,this paper consider quantized measurements between the output of system and the observer.Finally,the toolbox of Matlab software and Simulation shows the validity of the proposed method by a numerical experiment.