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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 type:Scholarships abroad - Research Internship - Master's degree
Effective date (Start): January 01, 2018
Effective date (End): May 15, 2018
Field of knowledge:Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
Principal researcher:Vilma Alves de Oliveira
Grantee:Rafael Fernando Quirino Magossi
Supervisor abroad: Shankar Prashad Bhattacharyya
Home Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: 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


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.

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Scientific publications
(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)
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. Web of Science Citations: 0.
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. Web of Science Citations: 0.
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. Web of Science Citations: 0.

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