同经典的连续时间观测器相比,脉冲观测器的优点在于只需利用离散时刻的系统输出就可以实现对受控系统的状态估计,大大地提高了带宽使用效率。当系统输出不能连续测量时,脉冲观测器成为一种有效的状态估计方式。然而,目前基于观测器的输出反馈控制研究文献所涉及的观测器大多数是连续时间观测器,关于基于脉冲观测器的输出反馈控制问题目前还没有文献涉及。文中研究了一类具有Lipschitz非线性的连续时间系统基于脉冲观测器的输出反馈镇定问题。首先,为充分利用脉冲观测器在脉冲时刻状态跳变的信息,引入分段连续的Lyapunov函数来分析闭环系统的指数稳定性。在此基础上,利用常数变易法和凸组合技术,得到了闭环系统全局一致指数稳定性新的充分条件,该充分条件利用了脉冲区间的上界和下界信息。然后,基于线性矩阵不等式,给出了基于脉冲观测器的输出反馈镇定控制律设计准则。最后,通过对Chua’s电路输出反馈脉冲控制进行仿真,结果表明所提出的设计方法是有效可行的。
Compared with the classic continuous-time observers, the advantage of impulsive observer lies in that it estimates the states of the controlled systems only using the system outputs at discrete time instants and thereby greatly increases the efficiency of bandwidth usage. Thus, when the output of the controlled system can not be measured continuously, the impulsive observer becomes an effec-phenomena of the state of the impulsive observer at impulse times, a piecewise continuous Lyapunov function is introduced to analyze the exponential stability of the closed-loop system. Based on the a- bove analysis, by combining the method of variation of parameters with the convex combination tech- nique, a new sufficient condition for globally uniformly exponentially stable of closed loop system is derived. The new sufficient conditions make full use of the lower bound and the upper bound of im- pulsive interval. Next, a criterion for the existence of output feedback control law based on impulsive observer is presented via linear matrix inequalities. Finally, the simulation for output feedback im- pulsive control of Chua's circuit illustrates the efficiency of the obtained results.