Robust Limit Cycle Generation in Nonlinear Dynamical Systems With Nominal Performance Recovery

Author:

Hakimi A. R.1,Binazadeh T.1

Affiliation:

1. Department of Electrical and Electronic Engineering, The Shiraz University of Technology, Modarres Boulevard, P.O. Box: 71555-313, Shiraz, Iran

Abstract

Abstract This paper proposes a disturbance observer (DO)-based method for shaping robust limit cycles in a class of uncertain nonlinear systems. The modified Lyapunov theorem is utilized to shape desirable limit cycles in the nominal system. Then, a high-gain filter is designed to robustify the controller and add the nominal performance recovery capability to it. It is proved that the trajectories of uncertain system coincide with those of the nominal system. The effective performance of the proposed controller is illustrated by simulation.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Reference16 articles.

1. Design of Robust Controller for a Class of Uncertain Discrete-Time Systems Subject to Actuator Saturation;IEEE Trans. Autom. Control,2017

2. Extending Lyapunov Redesign Method for Robust Stabilization of Non-Affine Quadratic Polynomial Systems;Control Cybern.,2016

3. Finite-Time Tracker Design for Uncertain Nonlinear Fractional-Order Systems;ASME J. Comput. Nonlinear Dyn.,2016

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