Bode-Like Fundamental Performance Limitations in Control of Nonlinear Systems

被引：21

作者：

Yu, Sun ^{[1
]}

Mehta, Prashant G. ^{[1
]}

机构：

[1] Univ Illinois, Coordinated Sci Lab, Dept Mech Sci & Engn, Urbana, IL 61801 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 06期

基金：

美国国家科学基金会;

关键词：

Bode formula; nonlinear systems; FEEDBACK; SENSITIVITY; ENTROPY;

D O I：

10.1109/TAC.2010.2042227

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with entropy based fundamental limitation results for the nonlinear disturbance rejection problem. We propose a hidden Markov model (HMM) framework for entropy calculations. We obtain explicit entropy bounds for both the classical Bode problem (with linear dynamics) as well as certain cases of nonlinear dynamics. An important message of this paper is that the limitations arise due to fundamental issues pertaining to estimation as opposed to the stabilization control problem.

引用

页码：1390 / 1405

页数：16

共 27 条

[1]

[Anonymous], 1986, Optimal Estimation with an Introduction to Stochastic Control Theory

[2] Limits of achievable performance of controlled combustion processes [J].

Banaszuk, Andrzej ;

Mehta, Prashant G. ;

Jacobson, Clas A. ;

Khibnik, Alexander I. .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2006, 14 (05) :881-895

[3]

Blackwell D., 1956, Transactions of the first Prague conference on information theory, Statistical decision functions, random processes held at Liblice near Prague from November, P13

[4]

Budhiraja A, 2002, ANN APPL PROBAB, V12, P1096

[5]

Budhiraja A, 2001, TRENDS MATH, P59

[6] An ergodic theorem for filtering with applications to stability [J].

Chigansky, Pavel .

SYSTEMS & CONTROL LETTERS, 2006, 55 (11) :908-917

[7]

COVER TM, 2005, WILEY SERIES TELECOM

[8] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].

ECKMANN, JP ;

RUELLE, D .

REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656

[9] When Bode meets Shannon: Control-oriented feedback communication schemes [J].

Elia, N .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1477-1488

[10]

Iglesias PA, 2001, IEEE DECIS CONTR P, P3419, DOI 10.1109/CDC.2001.980385

← 1 2 3 →