Cheap control performance of a class of nonright-invertible nonlinear systems

被引：11

作者：

Braslavsky, JH ^{[1
]}

Middleton, RH

Freudenberg, JS

机构：

[1] Univ Nacl Quilmes, Dept Sci & Technol, RA-1876 Bernal, Argentina

[2] Univ Newcastle, Dept Elect & Comp Engn, Callaghan, NSW 2308, Australia

[3] Univ Michigan, Dept Elect Engn & Comp Sci, Ann Arbor, MI 48109 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 08期

关键词：

optimal control; performance limitations; strict feedback systems;

D O I：

10.1109/TAC.2002.800762

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For strict-feedback nonlinear systems, this note shows that it is impossible to reduce to zero the optimal cost in the regulation of more states than the number of control inputs in the system, even using unrestricted control effort. By constructing a near-optimal cheap control law, we characterize the infimum value of the optimal regulation cost as the optimal value of a reduced-order regulator problem. We illustrate our results with an example on the optimal control of a magnetic suspension system.

引用

页码：1314 / 1319

页数：6

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