Less Conservative State Feedback Design with Switched Controllers for TS Fuzzy Systems

Author(s)

Faria, Flavio A. ; Elias, Leandro J. ; Magossi, Rafael F. Q. ; Carneiro, Diego S. ; Oliveira, Vilma A. ; Palma, LB ; Neves-Silva, R ; Gomes, L

• Document type: Journal article
• Source: CONTROLO 2022; v. 930, p. 11-pg., 2022-01-01.

Abstract

In this work, relaxed conditions for parallel distributed compensation fuzzy controllers via state feedback are proposed. The LMI conditions are obtained exploring the properties induced by the sector nonlinearity approach and by partitioning the space generated by the first-order time derivative of the membership functions. A chattering free state-dependent switching law to ensure the asymptotic stabilization of the feedback system is obtained and the efficiency of the proposed results is supported by a numerical example. (AU)

• 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
• FAPESP's process: 16/21120-2 - Tuning an adaptive PID controller obtained via linear optimization with constraints and pointwise Thévenin equivalent
• Grantee: Rafael Fernando Quirino Magossi
• Support Opportunities: Scholarships in Brazil - Master
• FAPESP's process: 19/25530-9 - Measurement-based approach with application to fault tolerant control design
• Grantee: Diêgo dos Santos Carneiro
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)