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Mode-Independent Regulator for Polytopic Markov Jump Linear Systems

Full text
Author(s):
Bueno, Jose Nuno A. D. ; Rocha, Kaio D. T. ; Marcos, Lucas B. ; Terra, Marco H. ; IEEE
Total Authors: 5
Document type: Journal article
Source: 2022 30TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED); v. N/A, p. 6-pg., 2022-01-01.
Abstract

We propose a mode-independent recursive regulator for discrete-time Markov jump linear systems with polytopic uncertainties. Based on an indicator function, we define an augmented system which encompasses all possible Markov modes. The use of a penalty parameter allows us to formulate the control problem as a special case of least-squares optimization with uncertain data. The recursive solution is robust and yields the mode-independent feedback gains to stabilize the augmented system. We recover, thereafter, the states and inputs of the original system from the augmented variables. We also provide a numerical example to validate the proposed method and compare it to an alternative technique. (AU)

FAPESP's process: 17/16346-4 - Communication network fault tolerant control for coordinated movement of heterogeneous robots
Grantee:Kaio Douglas Teófilo Rocha
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
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: 21/08103-0 - Cooperative autonomous control of heterogeneous vehicle systems
Grantee:Lucas Barbosa Marcos
Support Opportunities: Scholarships in Brazil - Technical Training Program - Technical Training