Journal Article

·2007

A new high-gain continuous controller scheme for a class of uncertain nonlinear systems

J. Kuvulmaz YTU , Erkan Zergeroğlu YTU

Abstract

In this study, we present a new continuous controller mechanism for the tracking problem of uncertain nonlinear systems. The proposed strategy is based on a Lyapunov- based stability argument and only requires the uncertainties of the dynamical system to be first order differentiable to achieve asymptotic tracking. For the ease of presentation the controller formulation is presented on a general, second order single- input single-output dynamical system, however extension to multi-input multi-output and higher order versions are also possible with a considerably small effort. Simulation studies on a two link planar robot system are presented to illustrate the feasibility of the proposed strategy.

Keywords

Control theory (sociology) Controller (irrigation) Nonlinear system Strict-feedback form Computer science Differentiable function Exponential stability Scheme (mathematics) Lyapunov function Extension (predicate logic) Dynamical systems theory Stability (learning theory) Class (philosophy) Trajectory Control engineering Mathematics Control (management) Adaptive control Backstepping Engineering Artificial intelligence

Subject Areas

Adaptive Control of Nonlinear Systems ·Control and Systems Engineering ·Physical Sciences
Iterative Learning Control Systems ·Control and Systems Engineering ·Physical Sciences
Advanced Control Systems Optimization ·Control and Systems Engineering ·Physical Sciences

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