Markovian跳变系统是一类描述在工业过程中,因不确定工况而引起结构和参数产生跳变的系统,大多数实际系统可以抽象为Markovian跳变系统,本文利用Lyapunov稳定法和LMIs(线性矩阵不等式)法等研究手段,得到连续Markovian跳跃系统的随机稳定性和镇定性条件,分析了Markovian跳变系统的稳定性以及得到稳定性条件,并进行了控制器的设计.得到的控制器经过数值算例的MATLAB仿真验证,能有效起到控制稳定的作用.
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