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Control Design Based on Sum of Squares Programming for Non-affine in Input Systems

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Author(s):
Ribeiro, Alexandre M. ; Fioravanti, Andre R. ; Moutinho, Alexandra ; de Paiva, Ely C. ; IEEE
Total Authors: 5
Document type: Journal article
Source: 2020 IEEE 6TH INTERNATIONAL CONFERENCE ON CONTROL SCIENCE AND SYSTEMS ENGINEERING (ICCSSE); v. N/A, p. 6-pg., 2019-01-01.
Abstract

This paper addresses the state feedback control synthesis for the class of nonaffine in input systems using the sum of squares (SOS) programming. Due to the nature of these systems, the SOS control design technique becomes a non-convex problem. In order to circumvent this issue, two input-affine approximations arc proposed, both based on linearization. In order to ensure better approximations, we propose the inclusion of new restrictions, which are inserted into the SOS program. Two examples are given to provide analytical and graphical illustration of the given approaches. It is performed the stability analysis of the open-loop system by estimating its region of attraction (RoA) and their enlargement, achieved with a slate feedback controller. (AU)

FAPESP's process: 18/05712-2 - Identification and control of a robotic electric vehicle with electronic differential
Grantee:Alexandre Monteiro Ribeiro
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 18/04905-1 - Automatization of a Robotic Electric Vehicle with Electronic Differential
Grantee:André Ricardo Fioravanti
Support Opportunities: Regular Research Grants
FAPESP's process: 14/50851-0 - INCT 2014: National Institute of Science and Technology for Cooperative Autonomous Systems Applied in Security and Environment
Grantee:Marco Henrique Terra
Support Opportunities: Research Projects - Thematic Grants