一类MIMO继电反馈系统极限环的全局稳定性(英文)

Global Stability of Limit Cycles for a Class of MIMO Relay Feedback Systems

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 problem of limit cycles for decentralized relay feedback systems is studied. The key idea is to reduce the global stability problem to the asymptotic stability of an uncertain discrete-time system. As a result, a sufficient condition is obtained for the stability test. It shows that under some constraints all system trajectories will eventually enter and remain in a specific region, and tend to the considered limit cycle. A numerical example is given to illustarte the use of the present result.