【摘要】 研究一类据有严参数反馈的Markov跳变系统的自适应稳定控制问题,传统的参数估计是基于某种等价原理得到,估计形式单一,收敛速度较慢,且很难保证参数收敛时系统收敛。应用参数估计与控制器设计分离的方法,先应用微分几何中的流形浸入与不变的概念,得到一种新的参数估计表示式,再应用积分反推方法设计了Markov跳跃非线性系统的控制率,证明了在该控制律的作用下系统平衡点依概率全局渐近稳定。该方法解决了传统参数估计存在的问题,系统的动态性能可通过参数收敛的快慢来调节。仿真实验结果表明了该方法的有效性。更多还原

【Abstract】 The problem of stable adaptive control for a class of Markov jump system with strict parameter feedback is considered.The traditional method of parameter estimate based on certainty-equivalent theory is difficult to ensure the system frozen when the estimated parameter attain their true value.The formation of parameter estimate is single and the velocity of parameter convergence is slow.The seperation method of parameter estimate and designing control is used.First,based on the notion of immersion and manifold invariance,new parameter estimation equation is derived.Then the law of input control are obtained by the method of integration backsteping method.The asymptotical stability of the closed loop system under the obtained control law is proved.The proposed method overcome the problem of the traditional method.At the same time,the dynamical performance of the system can be tuned according the convergence speed of the parameter.The simulation result show the effectiveness of the method.更多还原