NONLINEAR DESIGN OF ADAPTIVE CONTROLLERS FOR LINEAR-SYSTEMS

被引:153
作者
KRSTIC, M [1 ]
KANELLAKOPOULOS, I [1 ]
KOKOTOVIC, PV [1 ]
机构
[1] UNIV CALIF LOS ANGELES,DEPT ELECT ENGN,LOS ANGELES,CA 90024
基金
美国国家科学基金会;
关键词
Control equipment - Control system synthesis - Lyapunov methods - Mathematical models - Nonlinear control systems - Observability - Parameter estimation - Piecewise linear techniques - Recursive functions - State estimation - System stability - Systems analysis;
D O I
10.1109/9.286250
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new approach to adaptive control of linear systems abandons the traditional certainty-equivalence concept and treats the control of linear plants with unknown parameters as a nonlinear problem. A recursive design procedure introduces at each step new design parameters and incorporates them in a novel Lyapunov function. This function encompasses all the states of the adaptive system and forces them to converge to a manifold of smallest possible dimension. Only as many controller parameters are updated as there are unknown plant parameters, and the dynamic order of the resulting controllers is no higher (and in most cases is lower) than that of traditional adaptive schemes. A simulation comparison with a standard indirect linear scheme shows that the new nonlinear scheme significantly improves transient performance without an increase in control effort.
引用
收藏
页码:738 / 752
页数:15
相关论文
共 11 条
[1]  
Astrom K.J., 2013, ADAPTIVE CONTROL
[2]   A PARAMETER-ESTIMATION PERSPECTIVE OF CONTINUOUS-TIME MODEL-REFERENCE ADAPTIVE-CONTROL [J].
GOODWIN, GC ;
MAYNE, DQ .
AUTOMATICA, 1987, 23 (01) :57-70
[3]   A TOOLKIT FOR NONLINEAR FEEDBACK DESIGN [J].
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV ;
MORSE, AS .
SYSTEMS & CONTROL LETTERS, 1992, 18 (02) :83-92
[4]   SYSTEMATIC DESIGN OF ADAPTIVE CONTROLLERS FOR FEEDBACK LINEARIZABLE SYSTEMS [J].
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV ;
MORSE, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1241-1253
[5]   ADAPTIVE OBSERVERS WITH EXPONENTIAL RATE OF CONVERGENCE [J].
KREISSELMEIER, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (01) :2-8
[6]   ADAPTIVE NONLINEAR CONTROL WITHOUT OVERPARAMETRIZATION [J].
KRSTIC, M ;
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV .
SYSTEMS & CONTROL LETTERS, 1992, 19 (03) :177-185
[7]  
MARINO R, 1993, IEEE T AUTOMAT CONTR, V38, P17, DOI 10.1109/9.186309
[8]   INDIRECT CONTINUOUS-TIME ADAPTIVE-CONTROL [J].
MIDDLETON, RH .
AUTOMATICA, 1987, 23 (06) :793-795
[9]  
Narendra KS., 2012, STABLE ADAPTIVE SYST
[10]  
Sastry Shankar, 1990, ADAPTIVE CONTROL STA