Gain-scheduling static output feedback hoo robust control for linear parameter-varying systems

• Grant number: 18/20839-9
• Support type: Scholarships in Brazil - Doctorate
• Effective date (Start): March 01, 2019
• Effective date (End): February 28, 2022
• Field of knowledge: Engineering - Electrical Engineering
• Principal Investigator: Edvaldo Assuncao
• Grantee: Bruno Sereni
• Home Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

This research project aims to provide new contributions in the field of automatic control for dynamic systems, regarding the design of LMI-based (Linear Matrix Inequalities) controllers. The main topic in this study addresses the control problem involving linear systems with measurable time-varying parameters. Moreover, as a hypothesis, some of the system's state variables are assumed not to be available for measurement. At last, in the investigated problem, the dynamic system is considered to be susceptible to the presence of disturb signals that may compromise the system's performance or even its stability. In this scope, the development of a new technique for the synthesis of robust gain-scheduled controllers designed regarding the minimization of the Hoo norm is proposed intending to mitigate the disturbance effects on the system. The robust gain-scheduled controller will be designed through the derivation of static output feedback gains, therefore considering only the use of the available state variables. During the studies, the application of relaxations strategies will be considered in order to obtain less conservative LMI conditions, especially to cope with the presence of polytopic uncertainties in the system's matrices. The developed method will be compared with other similar results found in the literature by performing computational simulations and feasibility analysis. Furthermore, the practical applicability of the developed techniques will be evaluated through the implementation of the designed controllers in equipment acquired with funds from the FAPESP Thematic Project: Monitoring and Control of Dynamic Systems Subject to Failure (Process 2011/1761-0). (AU)