Output-Feedback Model Reference Adaptive Control for Continuous State Delay Systems

Author:

Mirkin Boris M.1,Gutman Per-Olof1

Affiliation:

1. Faculty of Civil and Environmental Engineering, The Lowdermilk Division of Agricultural Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel

Abstract

This paper develops a new approach for the output model reference adaptive control of linear continuous-time plants with state delays. The main idea is to include into the control law a feedforward component that compensates for the delayed states, in addition to output feedback. The feedforward is formed by special adaptively adjusted prefilters as a function of the delayed state of the reference model. The output feedback component is designed as for a plant without delay, but applied to the time-delay plant. Such a controller structure containing adaptive output feedback and adaptive prefilters from the delayed reference model makes it possible to solve the problem of adaptive exact asymptotic output tracking under parametric uncertainties. The stability is analyzed using the Lyapunov-Krasovskii functional method. A simulated example illustrates the new controller.

Publisher

ASME International

Subject

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

Reference22 articles.

1. Dugart, L., and Verriest, E. I., 1997, Stability and Control of Time-Delay Systems, Springer-Verlag, New York.

2. Hale, J. K., and Lunel, S. M. V., 1993, Introduction to Functional Differential Equations, Springer-Verlag, New York.

3. Kolmanovskii, V. B., Niculescu, S. I., and Gu, K., 1999, “Delay Effects on Stability: A Survey,” Proc. of 38th IEEE Conf. on Decision and Control, Phoenix, AZ, pp. 1993–1998.

4. Malek-Zavarei, M., and Jamshidi, M., 1996, Time Delay Systems, North Holland, Amsterdam.

5. Ortega, R., and Lozano, R., 1988, “Globally Stable Adaptive Controller for Systems With Delay,” Int. J. Control, 47(1), pp. 17–23.

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