广义线性离散系统的优化计算

讨论了广义线性离散系统状态反馈H_∞控制问题,论证了它和常义状态空间线性状态反馈H_∞控制问题的等价性.利用线性矩阵不等式(LMI)方法,给出了一个使闭环系统无脉冲、内稳定且满足H_∞性能指标的状态反馈.;This paper mainly discusses the general state feedback H_∞ control problem for linear discrete system.First of all, the ordinary discrete state feedback H_∞ is presented in terms of linear matrix inequalities;next, the general problem for the state feedback H_∞ is discussed in detail.By means of nonsingular transformation, we give the existence of a controller so that the closed-loop system is impulse-free and stable, and satisfies H_∞ performance