Robust Composite Control for Singularly Perturbed Systems With Time-Varying Uncertainties-Reference-Cited by-同舟云学术

Robust Composite Control for Singularly Perturbed Systems With Time-Varying Uncertainties

Published:1995-12-01 Issue:4 Volume:117 Page:445-452
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Chen Y. H.¹,Chen J. S.¹

Affiliation:

1. The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

Abstract

A two-time-scale linear system with uncertain time-varying parameter is to be stabilized. A class of robust composite controls is proposed. The control renders the system practically stable regardless of the true value of the parameter. The control scheme consists of linear and nonlinear parts. The linear part is designed via a two-level optimization setting. No matching condition is needed for the linear control. The nonlinear part is of continuous saturation type. Matching condition is needed for the nonlinear control. However, it can be achieved by choosing the boundary layer model appropriately.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/117/4/445/5532707/445_1.pdf

Reference23 articles.

1. Barmish B. R. , 1983, “Stabilization of Uncertain Systems Via Linear Control,” IEEE Trans. Automatic Control, Vol. 28, pp. 848–850.

2. Barmish B. R. , 1985, “Necessary and Sufficient Conditions for Quadratic Stabilizability of an Uncertain System,” J. Optimization Theory and Applications, Vol. 46, pp. 399–408.

3. Barmish B. R. , and LeitmannG., 1982, “On Ultimate Boundedness Control of Uncertain Systems in the Absence of Matching Conditions,” IEEE Trans. Automatic Control, Vol. 27, pp. 153–157.

4. Chen Y. H. , 1986, “On the Deterministic Performance of Uncertain Dynamical Systems,” International J. Control, Vol. 43, pp. 1557–1579.

5. Chen Y. H. , 1987a, “Robust Output Feedback Controller: Indirect Design,” International J. Control, Vol. 46, pp. 1093–1103.

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Robust ISS stabilization on disturbance for uncertain singularly perturbed systems;IMA Journal of Mathematical Control and Information;2017-04-10

2. Feedback Stabilization of Singularly Perturbed Systems Under Information Constraints;Asian Journal of Control;2015-12-21

3. Integral Sliding Mode Control of Lur’e Singularly Perturbed Systems;Mathematical Problems in Engineering;2015

4. Robust Observer-Based Feedback Control for Lipschitz Singularly Perturbed Systems;Mathematical Problems in Engineering;2015

5. Comments and References;Uncertain Dynamical Systems;2011-11-28