Numerical Approach to Nonlinear Control Design

Author:

Ostojic Mile1

Affiliation:

1. Sony Systems Design Corporation, 2F Takanawa Court, 3-13-1 Takanawa, Minato-ku, Tokyo 108, Japan

Abstract

The paper presents a new approach to designing tracking control of uncertain nonlinear plants. The approach is entirely based on numerical methods and corresponding recurrence relations. It results in recursive control laws that resolve plant nonlinearities and compensate all disturbances and parameter variations. Also, it enables a free shaping of the control error dynamics. Control algorithms based on the method of successive substitutions and the Newton’s method are studied in detail. Detailed description of an application and experimental evaluation is included.

Publisher

ASME International

Subject

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

Reference8 articles.

1. Astrom, K. J., and Wittenmark, B., 1990, Computer Controlled Systems, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ.

2. Hildebrand, F. B., 1987, Introduction to Numerical Analysis, 2nd ed., Dover Publications, New York, NY.

3. Levy, H., and Lessman, F., 1992, Finite Difference Equations, Dover Publications, New York, NY.

4. Ohnishi, K., and Murakami, T., 1989, “Application of Advanced Control Techniques in Electrical Drives,” Proc. IEEE Int. Workshop MCED’89, Trieste, Italy.

5. Ostojic, M., 1991, A Recursive Algorithm for Motion Control of Nonlinear Systems, (in Serbo-Croatian), Doctoral Thesis, University of Sarajevo, Sarajevo, Yugoslavia.

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