Control of switched systems, Markov jump linear systems and other classes of hybrid systems through LMIs

• Grant number: 14/22881-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2015
• End date: February 28, 2018
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Pedro Luis Dias Peres
• Grantee: Cecília de Freitas Morais
• Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The aim of this work plan is the study of stability analysis and control synthesis problems for some classes of hybrid systems, such as Markov jump linear systems, switched systems, and sampled systems. Moreover, it is proposed to analyze the nonlinearity effect in system dynamics, as, for instance, actuator saturation. Both discrete-time and continuous-time models will be addressed using, as performance index, the H-2 and H-infinity norms. In this context, the H-2 norm is usually related to energy, while the H-infinity norm represents robustness criteria associated to disturbance rejection. Techniques based in polynomial Lyapunov functions and relaxations based in homogeneous polynomials of arbitrary degrees will be employed, such that the investigated problems are expressed in terms of linear matrix inequalities and can be solved by methods of convex optimization with ample numerical support. It is intended to demonstrate by numerical experiments that the new conditions can be more embracing and less conservative then the techniques from literature. (AU)

Scientific publications

(22)

(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)

ROSA, TABITHA E.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.. New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, v. 28, n. 18, p. 6122-6145, DEC 1 2018. (17/18785-5, 14/22881-1)

MORAIS, CECILIA F.; PALMA, JONATHAN M.; PERES, PEDRO L. D.; OLIVEIRA, RICARDO C. L. F.. An LMI approach for H-2 and H-infinity reduced-order filtering of uncertain discrete-time Markov and Bernoulli jump linear systems. AUTOMATICA, v. 95, p. 463-471, SEP 2018. (14/22881-1)

BRAGA, MARCIO F.; MORAIS, CECILIA F.; TOGNETTI, EDUARDO S.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Discretization and event triggered digital output feedback control of LPV systems. SYSTEMS & CONTROL LETTERS, v. 86, p. 54-65, DEC 2015. (14/22881-1, 11/08312-6)

PALMA, JONATHAN M.; DURAN-FAUNDEZ, CRISTIAN; CARVALHO, LEONARDO DE P.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.; RUBIO, ERNESTO; HERMAN, KRZYSZTOF. Protocol for Energy-Efficiency in Networked Control Systems Based on WSN. SENSORS, v. 18, n. 8, AUG 2018. (17/18785-5, 14/22881-1)

BRAGA, MARCIO F.; MORAIS, CECILIA F.; TOGNETTI, EDUARDO S.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Linear quadratic networked control of uncertain polytopic systems. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, v. 26, n. 11, p. 2299-2313, JUL 25 2016. (14/22881-1, 14/25112-9)

MORAIS, CECILIA F.; LEVANO, ELMER; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.; IEEE. H-infinity Filtering and Control of Discrete-Time Polytopic Systems with State Multiplicative Noise. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., 2017-01-01. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; TOGNETTI, EDUARDO S.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. H-2, and H-infinity digital redesign of analog controllers for continuous-time polytopic systems. IFAC PAPERSONLINE, v. 50, n. 1, p. 6-pg., 2017-01-01. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.; IEEE. An LMI approach for H-2 dynamic output feedback control of discrete-time Markov systems with uncertain probabilities. 2016 IEEE CONFERENCE ON COMPUTER AIDED CONTROL SYSTEM DESIGN (CACSD), v. N/A, p. 6-pg., 2016-01-01. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; TOGNETTI, EDUARDO S.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Digital redesign of analogue dynamic output-feedback controllers for polytopic systems. International Journal of Control, v. 92, n. 8, p. 1764-1777, AUG 3 2019. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Reduced-order dynamic output feedback control of uncertain discrete-time Markov jump linear systems. International Journal of Control, v. 90, n. 11, p. 2368-2383, 2017. (14/22881-1)

BRAGA, MARCIO F.; MORAIS, CECILIA F.; MACCARI, JR., LUIZ A.; TOGNETTI, EDUARDO S.; MONTAGNER, VINICIUS F.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Robust Stability Analysis of Grid-Connected Converters Based on Parameter- Dependent Lyapunov Functions. JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, v. 28, n. 2, p. 159-170, APR 2017. (14/22881-1, 11/08312-6)

ROSA, TABITHA E.; FREZZATTO, LUCIANO; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.. H-infinity Static Output-Feedback Gain-Scheduled Control for Discrete LPV Time-Delay Systems. IFAC PAPERSONLINE, v. 51, n. 26, p. 6-pg., 2018-01-01. (14/22881-1, 17/18785-5, 17/01771-1)

PALMA, JONATHAN M.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.. Gain-scheduled control for LPV systems with scheduling parameters transmitted through a Markov channel. IFAC PAPERSONLINE, v. 51, n. 26, p. 6-pg., 2018-01-01. (14/22881-1, 17/18785-5)

PALMA, JONATHAN M.; GARCES, HUGO O.; ROJAS, ALEJANDRO J.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.. H-infinity output-feedback control design for combustion systems using optical instrumentation. IFAC PAPERSONLINE, v. 51, n. 25, p. 6-pg., 2018-01-01. (14/22881-1, 17/18785-5)

PALMA, JONATHAN M.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.; IEEE. H-infinity state-feedback gain-scheduled control for MJLS with non-homogeneous Markov chains. 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), v. N/A, p. 6-pg., 2018-01-01. (14/22881-1)

MORAIS, CECILIA F.; PALMA, JONATHAN M.; PERES, PEDRO L. D.; OLIVEIRA, RICARDO C. L. F.; IEEE. H-2 and H-infinity mode-independent state-feedback control of generalized Bernoulli jump systems with uncertain probabilities. 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), v. N/A, p. 6-pg., 2018-01-01. (14/22881-1)

PALMA, JONATHAN M.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.; IEEE. H-2 gain-scheduled filtering for discrete-time LPV systems using estimated time-varying parameters. 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), v. N/A, p. 6-pg., 2018-01-01. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; TOGNETTI, EDUARDO S.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.; IEEE. An LMI approach for robust stabilization of aperiodic uncertain sampled-data systems. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., 2017-01-01. (14/22881-1)

ROSA, TABITHA E.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.. H-infinity Output-Feedback Gain-Scheduled Control for Discrete-Time Linear Systems Affected by Time-Varying Parameters. IFAC PAPERSONLINE, v. 50, n. 1, p. 6-pg., 2017-01-01. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. H-2, and H-infinity dynamic output feedback control of continuous-time Markov systems with uncertain rates using LMIs. IFAC PAPERSONLINE, v. 50, n. 1, p. 6-pg., 2017-01-01. (14/22881-1)

PALMA, JONATHAN M.; CARVALHO, LEONARDO DE P.; ROSA, TABITHA E.; MORAIS, CECILIA F.; OLIVEIRA, RICARDO C. L. F.; IEEE. H-2 Filtering through Multi-Hop Networks: Trade-Off Analysis Between the Network Consumption and Performance Degradation. 2017 CHILEAN CONFERENCE ON ELECTRICAL, ELECTRONICS ENGINEERING, INFORMATION AND COMMUNICATION TECHNOLOGIES (CHILECON), v. N/A, p. 7-pg., 2017-01-01. (14/22881-1)

MORAIS, CECILIA F.; BRAGA, MARCIO F.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.; IEEE. LMI-based design of H-infinity dynamic output feedback controllers for MJLS with uncertain transition probabilities. 2016 AMERICAN CONTROL CONFERENCE (ACC), v. N/A, p. 6-pg., 2016-01-01. (14/25112-9, 14/22881-1)