【摘要】 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.更多还原

【Abstract】 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 guarantees 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.更多还原