时变离散系统的一种自适应算法及鲁棒性分析  

An Adaptive Control Algorithm and Robust Stability Analyzing for Time Varying Discrete Systems

作　　者：刘允刚[1] 施颂椒[1] 王先来[2] 

机构地区：[1]上海交通大学自动化系,上海200030 [2]天津大学能源与自动化学院,天津300072

出　　处：《上海交通大学学报》1999年第11期1434-1438,共5页Journal of Shanghai Jiaotong University

摘　　要：针对时变离散系统，设计了一间接极点配置鲁棒自适应控制算法．用投影修正的最小二乘法辨识时变系统参数，并用极点配置法设计控制律．辨识机制的投影修正保证了闭环自适应控制系统的鲁棒稳定性．文中着重分析了自适应控制律的特性及闭环系统鲁棒稳定性，得到的结论是：如果未建模动态和平均时变充分小，则闭环系统有界输入、有界输出（ＢＩＢＯ）鲁棒稳定．文中的结果及其证明改进并发展了现有时变自适应控制理论．A robust adaptive control algorithm for time varying discrete systems based on indirect pole zero placement was proposed. The estimating algorithm is the RLS with forgetting factor. Through the projection modification the robust adaptive control law is gained. The property and the robust bound input bound output (BIBO) stability of the adaptive scheme were analyzed. The main conclusion is that the sufficient condition of BIBO robust stability for closed loop system is the unmodelled dynamics and average parameter time variations component are sufficiently small. The result and the proofs of this paper improve and develop the adaptive control for time varying systems. The validity of robust analysis was tested by a simulation example.

关 键 词：时变系统 自适应控制 鲁棒性 投影修正 离散系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP271.8[自动化与计算机技术—控制科学与工程]