离散不确定广义系统的H_∞保成本控制

H_∞ Guaranteed Cost Control for Discrete-time Uncerta in Singular Systems

研究了一类不确定性的离散广义系统的H∞保成本控制问题,基于系统参数矩阵不等式得到了问题可解的充分条件,并给出了H∞保成本控制器的设计方法.所得到的控制器保证了闭环系统正则、因果、稳定并且满足给定的H∞性能指标,对所有容许的不确定性,保成本性能指标不超过某个确定的上界.用数值示例说明了所给方法的有效性.

The problem of H∞ guaranteed cost control for a class of discrete-time uncertain singular systems is studied. A sufficient condition for the solvability to the problem in terms of certain matrix inequalities is obtained. Furthermore, the H∞ guaranteed cost controller design method is given. The control law guaran- tees that the closed-loop systems is regular, causal, as well as stable, and satisfies a prescribed H∞ norm constraint. The cost of the closed-loop systems is within a certain bound for all these admissible uncertainties. Finally, a numerical example is given to illustrate the design method.