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IMPULSIVE ADAPTIVE OBSERVERS: IMPROVING PERSISTENCY OF EXCITATION

机译:冲动的自适应观察者:提高激发的持久性

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The development of adaptive observer techniques for nonlinear systems in the output canonical form is proposed applying additional impulsive feedbacks in the observer equations. The stability of new impulsive adaptive observers is investigated. It is shown that under some conditions the proposed impulsive feedbacks can improve the rate of the observer convergence or relax the requirement on persistency of excitation, which is frequently needed to ensure convergence of the parameter estimates. The proposed feasibility conditions include positivity of dwell time (boundedness of impulse frequency) and solvability of some Lyapunov-like hybrid matrix inequalities. The results are illustrated by simulation for three examples (including a single link flexible joint robot example).
机译:提出了在观察者方程中应用了输出规范形式中的非线性系统的自适应观察者技术的发展。研究了新的冲动自适应观察者的稳定性。结果表明,在某些条件下,所提出的脉冲反馈可以提高观察者收敛的速率或放松对激发持久性的要求,这通常是为了确保参数估计的收敛性。所提出的可行性条件包括停留时间(脉冲频率的有界)和一些Lyapunov样杂交基质不等式的阳性。结果是通过模拟来说明的三个例子(包括单链路柔性接头机器人示例)。

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