广义线性离散系统的优化计算

General Linear Discrete System Optimization Computation

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(LM I)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.