H-Infinity Model Following Control for Uncertain Systems by Using Digital Redesign Sliding Mode Control

Jiunn-Shiou Fang,P L Chen,Shu-Mei Guo,Jun-Juh Yan,Jason S H Tsai

doi:10.1109/access.2020.3015731

Abstract

H-Infinity Model Following Control for Uncertain Systems by Using Digital Redesign Sliding Mode Control

Highlights

In the control systems, because the system’s uncertainties and external disturbances can affect the control performance of the overall system, and even cause the failure of control systems, in the research literature, we can find many methods to ensure the stability of the controlled system, such as sliding mode control [1], [2], adaptive control [3], [4], neural network control [5], [6], etc
Based on the model-following control strategy, we propose a digital-redesign sliding mode control (SMC)-based controller for suppressing the matched/mismatched disturbances
In this article, a digital redesign technology is newly proposed by integrating with sliding mode control

Summary

INTRODUCTION

Because the system’s uncertainties and external disturbances can affect the control performance of the overall system, and even cause the failure of control systems, in the research literature, we can find many methods to ensure the stability of the controlled system, such as sliding mode control [1], [2], adaptive control [3], [4], neural network control [5], [6], etc. For the proposed hybrid-controlled systems in this article, since the continuous-time SMC-based controller has been discussed well, the digital redesign approach can be utilized to discretize the controller directly such that the controller design process becomes easy. DIGITAL REDESIGN SLIDING MODE CONTROLLERS we will discuss the design of a hybrid H∞ model following control for uncertain continuous systems by using a DRSMC. We continue to discuss the sliding mode control in the discrete-time domain by using the digital redesign approach. After the control law is discretized, to implement the discrete-time SMC, we discretize the sliding mode function (7) with Euler method [31] as follows s(kTs) = Cse(kTs) + sI (kTs),. In SMC, since the saturation function is often adopted to reduce the chattering phenomenon, we discuss the effect of the proposed SMC in this article

NUMERICAL SIMULATION

CONCLUSION