Fuzzy Adaptive Prescribed Performance Control for a Class of Uncertain Nonlinear Systems with Unknown Dead-Zone Inputs

Wei Xiang,Yeguo Sun,Ning Li

doi:10.1155/2017/4386515

Wei Xiang, Yeguo Sun + Show 1 more

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https://doi.org/10.1155/2017/4386515

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Abstract

This paper proposes a fuzzy adaptive prescribed performance control scheme for a class of uncertain chaotic systems with unknown control gains and unknown dead-zone inputs. Firstly, an error transformation is introduced to transform the original constrained system into an equivalent unconstrained one. Then, based on the error transformation technique and the predefined performance technique, a fuzzy adaptive feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded. Finally, an illustrative example is given to demonstrate the effectiveness and usefulness of the proposed technique.

Highlights

As a hard nonlinearity, dead-zone has been found in many industrial processes
In [19], an adaptive fuzzy control scheme is proposed for a class of uncertain multi-input multioutput (MIMO) nonlinear systems with the nonsymmetric control gain matrix and the unknown dead-zone inputs
Sun and Liu [31] presented a fuzzy adaptive control method for MIMO uncertain chaotic systems, which is capable of guaranteeing the prescribed performance bounds

Summary

Introduction

Dead-zone has been found in many industrial processes. For example, dry friction or stiction is a common source of dead-zone nonlinearities in electromechanical systems, and temperature changes on the surface of these components can produce relevant variations of deadzone effects [1]. For nonlinear large-scale systems, Li and Tong [29] employed prescribed performance adaptive fuzzy outputfeedback control method to ensure that all the signals in the closed-loop system are bounded. Sun and Liu [31] presented a fuzzy adaptive control method for MIMO uncertain chaotic systems, which is capable of guaranteeing the prescribed performance bounds. The main limitation in [31] is that the effect of both unknown control gains and unknown dead-zone inputs for uncertain nonlinear systems has not been taken into account. Motivated by the aforementioned works, this paper focuses on the problem of adaptive fuzzy control for a class of uncertain nonlinear systems with unknown control gains and unknown dead-zone inputs.

System Descriptions and Problem Formulations

Main Results

Numerical Simulations

Conclusions