Event-Triggered Adaptive Backstepping Control for Strict-Feedback Nonlinear Systems with Zero Dynamics

Bo Xu,Yucheng Zhou,Xiaoping Liu,Huanqing Wang

doi:10.1155/2019/7890968

Bo Xu, Yucheng Zhou + Show 2 more

Open Access

https://doi.org/10.1155/2019/7890968

Copy DOI

Journal: Complexity	Publication Date: Oct 10, 2019
Citations: 4	License type: CC BY 4.0

Affiliation: Shandong Jianzhu University

Abstract

This paper focuses on the problem of event-triggered control for a class of uncertain nonlinear strict-feedback systems with zero dynamics via backstepping technique. In the design procedure, the adaptive controller and the triggering event are designed at the same time to remove the assumption of the input-to-state stability with respect to the measurement errors. Besides, we propose an assumption to deal with the problem of zero dynamics. Three different event-triggered control strategies are designed, which guarantees that all the closed-loop signals are globally bounded. The effectiveness of the proposed methods is illustrated and compared using simulation examples.

Highlights

Nowadays, the control problem of uncertain systems draws more and more attention because of the extensive existence in the practical engineering
This paper focuses on the problem of event-triggered control for a class of uncertain nonlinear strict-feedback systems with zero dynamics via backstepping technique
An adaptive controller is proposed for switched nonlinear systems with coupled input nonlinearities and state constraints in [5]

Summary

Introduction

The control problem of uncertain systems draws more and more attention because of the extensive existence in the practical engineering. Zhou et al in [1] proposed two adaptive controllers for uncertain nonlinear systems in the presence of input quantization. A constrained optimization issue for a class of strict-feedback nonlinear systems is proposed in [3]. Among these researches, adaptive control strategy [4] has been proved to be an effective and efficient method for handling uncertainties and nonlinearities. In [7], the authors discuss the problems of adaptive output-feedback tracking control for a class of uncertain nonlinear systems with output constraints, unmodeled dynamics, and quantized input. A fractional-order sliding mode controller is proposed in [10] for robust stabilization of uncertain fractional-order nonlinear systems. See [11,12,13,14,15,16,17,18]

Objectives

Results

Conclusion