随机非线性和部分转移概率未知时马尔科夫系统的H1控制

研究上述系统时: 1) 利用了非线性的概率分布信息; 2) 利用了转移概率中已知部分和未知部分的关系. 利用李雅普诺夫泛函方法和线性矩阵不等式方法, 本文得到了使得系统随机稳定的充分条件并得到了相应的反馈控制增益. 文中最后给出的例子表明了所建立模型和分析方法的有效性.

H1 control for Markovian jump systems with incomplete transition probabilities and probabilistic nonlinearities

In considering the above mentioned systems we have made use of: 1) the information of the nonlinear probability distribution; 2) the relationship between the known part and the unknown part of the transition probabilities. By using the linear matrix inequality technique, we obtained the sufficient conditions of stochastic stability for the systems and feedback gains for the H1 controller based on the Lyapunov function method. A numerical example shows the effectiveness of the proposed modeling and the design approach.