Proportional-Derivative State-Feedback Control for Singular Systems With Input Quantization

Seok Young Lee,Nam Kyu Kwon

doi:10.1109/access.2020.3020069

Abstract

This paper deals with an admissibilization problem of singular systems with uniform input quantization. The aim is to design a controller to guarantee the admissibility of the closed-loop system. To achieve this, this paper proposes a proportional-derivative state-feedback controller which includes non-linear control part to reject the effect of uniform input quantization. Based on the proposed controller, sufficient conditions are obtained in terms of linear matrix inequalities. Two examples show the feasibility of the proposed controller.

Highlights

In the field of control theory, to effectively handle the problems such as stability analysis or controller synthesis, the dynamic systems are generally modeled as the state-space systems which consist of the first-order differential equations of the system states
Since the interconnection of system states can be represented as algebraic equations, both differential and algebraic equations are required when modeling the dynamic systems in which interconnection of system states exist such as large-scale power systems [1]
This paper proposes the state-feedback control for the singular systems with uniform input quantization

Summary

Introduction

In the field of control theory, to effectively handle the problems such as stability analysis or controller synthesis, the dynamic systems are generally modeled as the state-space systems which consist of the first-order differential equations of the system states. Singular systems, which are referred to as differentialalgebraic equation systems or descriptor systems, include both differential and algebraic equations. For this reason, the singular systems have drawn extensive consideration of researchers and have been used in many practical systems [2]–[4]. Based on the state-space system theory, many researches have been actively extended to the singular systems, such as stability analysis [5], [6], controller synthesis [7], H∞ control [8], H∞ filtering [9], and dissipativity

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