无模型控制律的稳定性分析

Stability analysis for Non-model control

应用Markov过程理论,将包含伪梯度向量及其估计值等在内的关键量扩张成一高维状态Φ,然后证明{Φ}是具有Feuer性质的Markov过程,并且Φ是Markov过程并具有唯一不变概率测度π.利用该性质,分析无模型控制律作用下的随机系统的输出、输入与估计值渐近平稳性,以及性能指标的渐近极限值是否存在。

State Φ is gotten from pseudo gradient vector and estimation value based on Markov theory. It is proved that {Φk} is Markov process that has feller property and Φ has unique probability π. According to the above property, the stability for the stochastic system, which is controlled by non-model control law, is studied.