On the Robust Stabilization of Nonlinear Uncertain Systems With Incomplete State Availability

Author:

Bartolini G.1,Pisano A.1,Usai E.1,Levant A.2

Affiliation:

1. Department of Electrical and Electronic Engineering, University of Cagliari, P.zza d’Armi, 09123 Cagliari, Italy

2. Institute for Industrial Mathematics, 4/24 Yehuda Ha-Nachtom St., Beer-Sheva 84311, Israel

Abstract

The control problem of a class of nonlinear uncertain processes with incomplete state availability is dealt with by means of second-order sliding mode control technique. With the aim of using a continuous control, a combined scheme is proposed in which a 2-sliding mode differentiator and a 2-sliding mode controller are coupled. The stability of the whole observer-controller system is proved for a class of nonlinear plants, and some simulation results are finally provided. [S0022-0434(00)02704-0]

Publisher

ASME International

Subject

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

Reference22 articles.

1. Corless, M., and Leitmann, G., 1981, “Continuous State Feedback Guaranteeing Uniform Ultimate Boundedness for Uncertain Dynamical Systems,” IEEE Trans. Autom. Control, 26, pp. 1139–1141.

2. Doyle, J., Zhou, K., Glover, K., and Bodenheimer, B., 1994, “Mixed H2-H∞ Performance Objectives I: Robust Performance Analysis,” IEEE Trans. Autom. Control, 39, No. 8, pp. 1564–1575.

3. Narendra, K. S., and Annaswamy, A. M., 1989, Stable Adaptive Systems, Prentice-Hall, Englewood Cliffs, NJ.

4. Serrani, A., and Isidori, A., 1999, “Global Output Regulation for a Class of Nonlinear Systems,” Proceedings, 38th Conference on Decision and Control CDC’99, Phoenix, AZ, pp. 1090–1095.

5. Slotine, J. J., and Li, W., 1991, Applied Nonlinear Control, Prentice-Hall International, Englewood Cliffs, NJ.

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