A new discrete-time sliding-mode control with neural identification

Author

Rubio, José De Jesus ; Yu, Wen ; Ferreyra, Andrés

Author_Institution

Dept. de Control Automatico, CINVESTAV-IPN, Mexico

fYear

2006

fDate

14-16 June 2006

Abstract

In this paper, we present a new sliding mode controller for a class of unknown nonlinear discrete-time systems. We make the following two modifications: 1) the neural identifier which is used to estimate the unknown nonlinear system, applies new learning algorithms. The stability and non-zero properties are proved by dead-zone and projection technique. 2) We propose a new sliding surface and give a necessary condition to assure exponential decrease of the sliding surface. The time-varying gain in the sliding mode produces a low-chattering control signal. The closed-loop system with sliding mode controller and neural identifier is proved to be stable by Lyapunov method

Keywords

Lyapunov methods; closed loop systems; discrete time systems; learning (artificial intelligence); neurocontrollers; nonlinear control systems; poles and zeros; stability; time-varying systems; variable structure systems; Lyapunov method; closed-loop system; dead-zone technique; discrete-time control; learning; neural identification; nonlinear discrete-time systems; nonzero properties; projection technique; sliding surface; sliding-mode control; stability; time-varying gain; Adaptive control; Automatic control; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust control; Sliding mode control; Stability; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657584

Filename

1657584