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直接利用fmincon函数(MINC)研究一类在切换时刻具有脉冲行为的Markov切换随机系统.首先给出系统依概率稳定的充分条件,设计了系统的鲁棒镇定控制器,并进行了稳定性分析;然后给出了相应的状态反馈增益矩阵和脉冲增益矩阵的求解方法;最后,通过一个数值算例表明所设计方法的有效性.通过研究可知,许多控制系统的分析和综合问题均可以转化为MINC进行求解.
The fmincon function (MINC) is used to study a class of stochastic Markov switching systems with impulsive behavior at the switching moment. The sufficient conditions for the stability of the system are given. The robust stabilization controller of the system is designed and the stability analysis is carried out. Then the corresponding state feedback gain matrix and pulse gain matrix are given. Finally, a numerical example is given to show the effectiveness of the proposed method. It can be seen from the research that the analysis and synthesis of many control systems can be transformed into MINC Solve.