Control and filtering of dynamic systems subject to abrupt and random variations

• Grant number: 21/13338-6
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2022
• End date: August 31, 2024
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: André Marcorin de Oliveira
• Grantee: André Marcorin de Oliveira
• Host Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil
• City of the host institution: São José dos Campos
• Associated researchers: Gabriela Werner Gabriel ; Oswaldo Luiz Do Valle Costa ; Sérgio Ronaldo Barros dos Santos

Abstract

This Research Proposal has the goal of studying Control Systems subject to stochastic variations. We consider that that dynamic is modified according to a Markov chain, which we call the mode of operation. Those systems are used, for instance, in modelling systems subject to abrupt and random faults during their operation. However, we consider that the mode of operation cannot be perfectly measured, but instead there exists a type of detector which provides to the Control System the only information regarding the main jump process of the plant. In this context, this project consider the design of Dynamic Output Feedback Controllers and Filters of continuous-time (and discrete-time) Markov jump linear systems through a multi-objective perspective by using, for instance, the l2-loo performance index, in which the peak of the controlled output is limited for an exogenous input of finite energy. Through our results, we aim at applications such as formation control for multiagent systems, as well as validating the results through simulations based on academic applications. (AU)

Scientific publications

(9)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

COSTA, OSWALDO L. V.; DE OLIVEIRA, ANDRE M.. Prediction-Correction Filtering for Discrete-Time Markov Jump Linear Systems. JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, v. 35, n. 2, p. 10-pg., 2024-04-01. (21/13338-6, 14/50851-0)

COSTA, OSWALDO L. V.; DE OLIVEIRA, ANDRE M.. Static Output Energy-to-Peak Control for Semi-Markov Jump Linear Systems With Phase-Type Distributions and Hidden Modes. IEEE Transactions on Automatic Control, v. 69, n. 11, p. 8-pg., 2024-11-01. (21/13338-6, 20/15230-5, 14/50851-0)

DE OLIVEIRA, ANDRE M.; COSTA, OSWALDO L. V.. H2 dynamic output feedback control of phase-type semi-Markov jump linear systems. NONLINEAR ANALYSIS-HYBRID SYSTEMS, v. 56, p. 19-pg., 2024-12-04. (21/13338-6, 14/50851-0)

GABRIEL, GABRIELA W.; DE OLIVEIRA, ANDRE M.; COSTA, OSWALDO L. V.; DOS SANTOS, SERGIO R. BARROS. Reduced-order H_∞ filtering of phase-type semi-Markov jump linear systems. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, v. 362, n. 16, p. 14-pg., 2025-10-15. (21/13338-6, 14/50851-0)

DE OLIVEIRA, ANDRE M.; COSTA, OSWALDO L., V; GABRIEL, GABRIELA W.; BARROS DOS SANTOS, SERGIO R.; IEEE. Energy-to-Peak Filtering for Continuous-Time Markov Jump Linear Systems with Partial Information on the Jump Parameter. 2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., 2022-01-01. (21/13338-6)

DE OLIVEIRA, ANDRE M.; DOS SANTOS, SERGIO R. BARROS; COSTA, OSWALDO L. V.. Mixed Reduced-Order Filtering for Discrete-Time Markov Jump Linear Systems With Partial Information on the Jump Parameter. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, v. N/A, p. 12-pg., 2023-06-21. (21/13338-6, 14/50851-0, 20/15230-5)

COSTA, OSWALDO L. V.; DE OLIVEIRA, ANDRE M.. Feedback linear quadratic Nash equilibrium for discrete-time Markov jump linear systems. SYSTEMS & CONTROL LETTERS, v. 192, p. 7-pg., 2024-08-06. (21/13338-6, 14/50851-0)

DE OLIVEIRA, ANDRE M.; COSTA, OSWALDO L., V; GABRIEL, GABRIELA W.; BARROS DOS SANTOS, SERGIO R.. Energy-to-Peak Reduced Order Filtering for Continuous-Time Markov Jump Linear Systems With Partial Information on the Jump Parameter. IEEE ACCESS, v. 10, p. 10-pg., 2022-01-01. (21/13338-6, 14/50851-0, 20/15230-5)

COSTA, OSWALDO L. V.; DE OLIVEIRA, ANDRE M.; GABRIEL, GABRIELA W.; BARROS DOS SANTOS, SERGIO R.. Energy-to-Peak Static Output Control for Continuous-Time Hidden Markov Jump Linear Systems. IFAC PAPERSONLINE, v. 56, n. 2, p. 6-pg., 2023-01-01. (21/13338-6, 14/50851-0, 20/15230-5)