不确定内联系统的二次稳定性和分散反馈镇定
Quadratic Stability and Decentralized Stabilization VIA State Feedback for Uncertain Interconnected Systems
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摘要: 文中首先讨论了系统x(t)={A0+k∑i=1DiFi(t)Ei}x(t)的二次稳定性,给出以H∞小 增益条件表示的该系统是二次稳定的充分必要条件.然后讨论了一类不确定内联系统的二次 稳定性和分散反馈镇定问题,给出用"集结"后的子系统的一组H∞小增益条件表示的不确定 内联系统二次稳定和可分散反馈镇定的充分条件.分散控制可通过求一组子系统阶数的Riccati 不等式得到.Abstract: In this paper,the quadratic stability for uncertain system X(t)={A0+k∑i=1DiFi(t)Ei}}x(t) is explored and the sufficient and necessary condition discribed by H∞ small gain condition is given.Then,the problem of quadratic stability and decentralized stabilizability for uncertain interconnected systems is discussed.Two groups of necessary and sufficient conditions for quadratic stability and decentralized stabilization of the uncertain interconnected system have been obtianed,which are H∞ small gain conditions for subsystems.The decentralized controllers can be obtained by solving a group of Riccati inequalities on subsystems.
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Key words:
- Uncertainty /
- H∞ norm /
- quadratic stability /
- decentralized stabilization
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