Tuning an adaptive PID controller obtained via linear optimization with constraints and pointwise Thévenin equivalent

• Grant number: 16/21120-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2017
• End date: December 17, 2018
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Vilma Alves de Oliveira
• Grantee: Rafael Fernando Quirino Magossi
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 17/21577-5 - Use of stabilizers sets as linear constraints to obtain the gains of a PID controller obtained via quadratic optimization, BE.EP.MS

Abstract

The proportional + integral + derivative controllers (PID) are widely used in the industry due to its structure containing integral and derivative actions and have a fixed order. In literature, there are several methods for their tuning. However, since it is a fixed gain controller, variations in the plant can significantly interfere with the desired performance and need to be compensated. Thus, this design offers an adaptation of the PID parameters in order to keep the loop closed transfer function as close to the nominal used in the line. For this modeling is the control structure as an overdetermined linear system with restrictions and uses a linear optimization method for the controller parameters. (AU)

Scientific publications

(12)

(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)

DE AGUIAR, CASSIUS ROSSI; FAVARO FUZATO, GUILHERME HENRIQUE; QUIRINO MAGOSSI, RAFAEL FERNANDO; ALVES NEVES, RODOLPHO VILELA; MACHADO, RICARDO QUADROS. A New Method to Manage the Fuel Cell Initialization. IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, v. 54, n. 5, 2, SI, p. 5187-5195, SEP-OCT 2018. (16/25017-1, 13/09788-0, 13/20721-4, 12/12770-2, 16/21120-2)

BHATTACHARYYA, SHANKAR P.; OLIVEIRA, VILMA A.; MAGOSSI, RAFAEL F. Q.. Thevenin's Theorem, Cramer's Rule, and Parameterized Systems: Some Connections. IEEE CONTROL SYSTEMS MAGAZINE, v. 39, n. 2, p. 84-100, APR 2019. (16/25017-1, 17/21577-5, 14/50851-0, 16/21120-2)

MAGOSSI, RAFAEL F. Q.; HAN, SANGJIN; MACHADO, RICARDO Q.; OLIVEIRA, VILMA A.; BHATTACHARYYA, SHANKAR P.. Geometric-based PID control design with selective harmonic mitigation for DC-DC converters by imposing a norm bound on the sensitivity function. IET Control Theory and Applications, v. 14, n. 19, p. 3330-3337, DEC 21 2020. (16/21120-2, 16/25017-1, 17/21577-5)

ELIAS, LEANDRO J.; FARIA, FLAVIO A.; MAGOSSI, RAFAEL F. Q.; OLIVEIRA, VILMA A.. Switched Control Design for Nonlinear Systems Using State Feedback. JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, v. 33, n. 3, p. 10-pg., 2022-01-21. (14/50851-0, 16/21120-2)

FARIA, FLAVIO A.; ELIAS, LEANDRO J.; MAGOSSI, RAFAEL F. Q.; CARNEIRO, DIEGO S.; OLIVEIRA, VILMA A.; PALMA, LB; NEVES-SILVA, R; GOMES, L. Less Conservative State Feedback Design with Switched Controllers for TS Fuzzy Systems. CONTROLO 2022, v. 930, p. 11-pg., 2022-01-01. (14/50851-0, 16/21120-2, 19/25530-9)

PADULA, AUGUSTO S.; AGNOLETTO, ELIAN J.; NEVES, RODOLPHO V. A.; MAGOSSI, RAFAEL F. Q.; MACHADO, RICARDO Q.; OLIVEIRA, VILMA A.; IEEE. Partial Harmonic Current Distortion Mitigation in Microgrids Using Proportional Resonant Controller. 2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), v. N/A, p. 6-pg., 2019-01-01. (16/21120-2, 16/25017-1)

CASTRO, DANIEL S.; MAGOSSI, RAFAEL F. Q.; BASTOS, RENAN F.; OLIVEIRA, VILMA A.; MACHADO, RICARDO Q.; IEEE. Low-Cost Hardware in the Loop Implementation of a Boost Converter. 2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), v. N/A, p. 6-pg., 2019-01-01. (16/21120-2, 16/25017-1)

DE AGUIAR, CASSIUS ROSSI; FAVARO FUZATO, GUILHERME HENRIQUE; QUIRINO MAGOSSI, RAFAEL FERNANDO; ALVES NEVES, RODOLPHO VILELA; MACHADO, RICARDO QUADROS. A New Method to Manage the Fuel Cell Initialization. IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, v. 54, n. 5, p. 9-pg., 2018-09-01. (16/21120-2, 12/12770-2, 13/09788-0, 16/25017-1, 13/20721-4)

QUIRINO MAGOSSI, RAFAEL FERNANDO; DE CASTRO, DANIEL SILVA; RUI OLIVEIRA, ANA LAIS; MACHADO, RICARDO QUADROS. A Comprehensive Non-Ideal Steady-State Analysis of a Threefold Operation Mode Interleaved-Based DC-DC Converter. IEEE ACCESS, v. 8, p. 144167-144183, 2020. (16/25017-1, 17/21577-5, 13/20721-4, 16/21120-2)

DE AGUIAR, CASSIUS ROSSI; FUZATO, GUILHERME HENRIQUE FAVARO; MACHADO, RICARDO QUADROS; GUERRERO, JOSEP M.. An Adaptive Power Sharing Control for Management of DC Microgrids Powered by Fuel Cell and Storage System. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, v. 67, n. 5, p. 3726-3735, MAY 2020. (16/25017-1, 13/09788-0, 12/12770-2, 13/20721-4, 16/21120-2)

MAGOSSI, RAFAEL F. Q.; FUZATO, GUILHERME H. F.; CASTRO, DANIEL S.; MACHADO, RICARDO Q.; OLIVEIRA, VILMA A.. Using Multivariate Polynomials to Obtain DC-DC Converter Voltage Gain. IFAC PAPERSONLINE, v. 53, n. 2, p. 6-pg., 2020-01-01. (16/21120-2, 16/25017-1)

MAGOSSI, RAFAEL F. Q.; OLIVEIRA, VILMA A.; MACHADO, RICARDO Q.; BHATTACHARYYA, SHANKAR P.; IEEE. Stabilizing Set and Phase Margin Computation for Resonant Controllers. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., 2019-01-01. (16/21120-2, 17/21577-5, 14/50851-0, 16/25017-1)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MAGOSSI, Rafael Fernando Quirino. Design of PID controllers with H∞ performance index and for selective harmonic mitigation. 2019. Master's Dissertation - Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) São Carlos.