Componentwise Bounded Controllers for Robust Exponential Convergence-Reference-Cited by-同舟云学术

Componentwise Bounded Controllers for Robust Exponential Convergence

Published:1997-03-01 Issue:1 Volume:119 Page:73-79
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Corless M.¹,Leitmann G.²

Affiliation:

1. School of Aeronautics & Astronautics, Purdue University, West Lafayette, IN 47907

2. College of Engineering, University of California at Berkeley, Berkeley, CA 94720

Abstract

This paper presents controllers for a class of nonlinear uncertain systems when each control input is subject to an upper bound on its magnitude or norm. The proposed controllers ensure that all closed loop state trajectories which originate in a bounded region exponentially converge to a desired neighborhood of the origin with a desired rate of convergence. The results are illustrated by applying them to the stabilization of a spacecraft subject to bounded control and disturbance torques.

Publisher

ASME International

Subject

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

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/119/1/73/5540938/73_1.pdf

Reference26 articles.

1. Barmish, B. R., Corless, M., and Leitmann, G., 1987, “A New Class of Stabilizing Controllers for Uncertain Dynamical Systems,” SIAM Journal of Control and Optimization, Vol. 21, pp. 246–255, 1983:

2. reprinted in Robust Control, P. Dorato, ed. IEEE Press, New York.

3. Blanchini F. , 1991, “Constrained Control for Uncertain Linear Systems,” Journal of Optimization Theory and Applications, Vol. 71, pp. 465–484.

4. Corless M. , 1990, “Guaranteed Rates of Exponential Convergence for Uncertain Systems,” Journal of Optimization Theory and Applications, Vol. 64, pp. 481–494.

5. Corless M. , 1993, “Control of Uncertain Nonlinear Systems,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, Vol. 115, pp. 362–372.

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