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研究了分散继电反馈系统极限环的全局稳定性问题。主要思想是将所研究的极限环的全局稳定性问题转化为不确定离散系统的渐近稳定性问题。并给出了判定稳定性的充分条件。结果表明,在某些约束条件下,所有系统轨迹最终进入并停留在某一特定区域,而且趋于极限环。数值例子仿真验证了提出的方法的有效性。
The global stability of the limit cycle of distributed relay feedback system is studied. The main idea is to transform the global stability of the limit cycle studied into the asymptotic stability of the uncertain discrete system. The sufficient condition for the stability of judgment is given. The results show that under some constraints, all system trajectories eventually enter and stay in a particular area, and tend to the limit cycle. Numerical examples show the validity of the proposed method.