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针对一类具有范数有界不确定性的广义系统,当系统状态不可测时,提出了一种基于输出反馈的鲁棒预测控制器综合算法.采用LMI方法以及变量变换思想,将无限时域“最小-最大”优化问题转化为线性规划问题.确定出一组分段连续的输出反馈控制序列,给出了输出反馈控制律存在的充分条件,证明了优化问题在初始时刻的可行解可以保证广义闭环系统是渐近稳定且正则无脉冲的.仿真实例验证了所提出方法的有效性.
For a class of generalized systems with norm-bounded uncertainties, a robust predictive controller synthesis algorithm based on output feedback is proposed when the system state is not measurable. By using the LMI method and the idea of variable transformation, an infinite time-domain “Min-Max ” optimization problem is transformed into a linear programming problem.A series of subsequence output feedback control sequences are determined, sufficient conditions for the existence of output feedback control law are given, and the feasible solution of the optimization problem at the initial moment is proved It can be guaranteed that the generalized closed-loop system is asymptotically stable and regularly pulse-free.The simulation results verify the effectiveness of the proposed method.