Attitude Control of a Flexible Spacecraft via Fuzzy Optimal Variance Technique

Chokri Sendi

doi:10.3390/math10020179

Abstract

This paper investigates the performance of a fuzzy optimal variance control technique for attitude stability and vibration attenuation with regard to a spacecraft made of a rigid platform and multiple flexible appendages that can be retargeted to the line of sight. The proposed technique addresses the problem of actuators’ amplitude and rate constraints. The fuzzy model of the spacecraft is developed based on the Takagi-Sugeno(T-S) fuzzy model with disturbances, and the control input is designed using the Parallel Distributed Compensation technique (PDC). The problem is presented as an optimization problem in the form of Linear Matrix Inequalities (LMIs). The performance and the stability of the proposed controller are investigated through numerical simulation.

Highlights

Actuator constraints are present in many control systems and can have detrimental effects on system stability and performance, except if they are considered during the control design process
The problem is formulated as an optimization problem using the Linear Matrix Inequalities (LMIs) tool
A numerical simulation of the open-loop fuzzy model described by Equation (17) using a set of two rules for each appendage is performed for validation

Summary

Introduction

Actuator constraints are present in many control systems and can have detrimental effects on system stability and performance, except if they are considered during the control design process. Because actuator amplitude and rate saturation are among the most common and significant parameters in the control design process, they have been a topic of considerable interest for scientists and engineers. Several promising solutions have been proposed to this problem, including anti-windup; see, for instance, [1,2,3,4,5,6]. This technique’s goal is to prevent instability and performance deterioration by introducing a control modification when the actuator system reaches saturation

Methods

Results

Conclusion