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Use of stabilizers sets as linear constraints to obtain the gains of a PID controller obtained via quadratic optimization

Grant number: 17/21577-5
Support Opportunities:Scholarships abroad - Research Internship - Master's degree
Start date: January 01, 2018
End date: May 15, 2018
Field of knowledge:Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
Principal Investigator:Vilma Alves de Oliveira
Grantee:Rafael Fernando Quirino Magossi
Supervisor: Shankar Prashad Bhattacharyya
Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Institution abroad: Texas A&M University, United States  
Associated to the scholarship:16/21120-2 - Tuning an adaptive PID controller obtained via linear optimization with constraints and pointwise Thévenin equivalent, BP.MS

Abstract

The robust controller design techniques based on state space model and quadratic optimization results in high order controllers, typically the order of increased plant. There is a great interest in ensuring the robust stability of systems with PID controller, fixed order controller. The stabilizing assemblies provides a set of admissible gains of PID controllers in order to maintain stable control system. The part to be developed abroad involves the optimization problem formulation to include joint stabilizers in the restrictions.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications (4)
(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)
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, . (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, . (16/21120-2, 16/25017-1, 17/21577-5)
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, . (16/25017-1, 17/21577-5, 13/20721-4, 16/21120-2)
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., . (16/21120-2, 17/21577-5, 14/50851-0, 16/25017-1)