一种广义马尔科夫跳变时滞系统的保成本控制

The Guaranteed Cost Control of Singular Markov Jump Systems with Delay

针对广义马尔科夫跳变时滞系统,考虑了保成本控制问题.基于线性矩阵不等式的方法,给出了广义马尔科夫跳变时滞系统在模态独立条件下保成本控制器存在的充分条件.在所得结果基础上,进一步以线性矩阵不等式形式,给出了模态独立控制器增益的求解方法,实现了对广义马尔科夫跳变时滞系统的保成本控制.最后,通过数值例子验证了本文设计方法的有效性.

A kind of design method for the guaranteed cost control of singular Markov jump systems with time delay is described in this paper. This method, based on the approach of linear matrix inequalities, results in the sutlicient condition for the existence of guaranteed cost control with modal independent conditions. On the basis of the above results, the solution for mode controller to gain independence is given in tile form of linear matrix inequalities, which can realize the guaranteed cost control for singular Markov jmnp systems with time delay. Finally, a relevant inuIlerieal example is introduced to illustrate tile validity of the proposed method.