Applications of Adaptive Controllers to Systems With Nonlinear Parametrization-Reference-Cited by-同舟云学术

Applications of Adaptive Controllers to Systems With Nonlinear Parametrization

Published:1998-12-01 Issue:4 Volume:120 Page:477-487
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Annaswamy A. M.¹,Thanomsat C.²,Mehta N.¹,Loh Ai-Poh³

Affiliation:

1. Adaptive Control Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA

2. Seagate Technologies Inc., San Jose, CA 95134

3. Department of Electrical Engineering, National University of Singapore, Singapore 0511

Abstract

Nonlinear parametrizations occur in dynamic models of several complex engineering problems. The theory of adaptive estimation and control has been applicable, by and large, to problems where parameters appear linearly. We have recently developed an adaptive controller that is capable of estimating parameters that appear nonlinearly in dynamic systems in a stable manner. In this paper, we present this algorithm and its applicability to two problems, temperature regulation in chemical reactors and precise positioning using magnetic bearings both of which contain nonlinear parametrizations. It is shown in both problems that the proposed controller leads to a significantly better performance than those based on linear parametrizations or linearized dynamics.

Publisher

ASME International

Subject

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

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/120/4/477/5618583/477_1.pdf

Reference14 articles.

1. Annaswamy, A. M., Thanomsat, C., Mehta, N., and Loh, A., 1997, “Applications of Adaptive Controllers Based on Nonlinear Parametrization to Chemical Reactors and Magnetic Bearings,” Tech. Rep., Adaptive Control Laboratory, Department of Mechanical Engineering, M.I.T., June.

2. Annaswamy A. M. , LohA., and SkantzeF., 1998, “Adaptive Control of Continuous Time Systems with Convex/Concave Parametrization,” Automatica, Vol. 34, pp. 33–49, Jan.

3. Bertsekas, D. P., 1989, Nonlinear Programming, MIT Press, Cambridge, MA.

4. Fradkov, A., Ortega, R., and Bastin, G., 1996, “Semi-Adaptive Control of Convexly Parametrized Systems with Application to Temperature Regulation of Chemical Reactors,” Tech. Rep., Russian Academy of Sciences.

5. Jadot, F., “Dynamics and Robust Nonlinear PI Control of Stirred Tank Reactors,” PhD thesis, University of Louvain, Belgium, 1996.

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