Geovana França

Ph.D. candidate in Information and Systems Engineering, pursuing a cotutelle between Concordia University, Canada, and the Federal University of Santa Catarina, Brazil. My research focuses on developing optimal controllers for autonomous systems that must follow precise trajectories while respecting constraints, like physical boundaries, speed limits, and disturbances.

As a mathematician with 5+ years of teaching experience, I'm passionate about bridging abstract theory and practical applications. I'm particularly drawn to emerging fields where math plays a central role—from AI and machine learning to robotics and autonomous systems.

Research Interests

Constrained Control

  • Output Feedback PID Controllers
  • Robust Positive Invariant
  • Linear Matrix Inequalities

Applied Math

  • Optimization & Operations Research
  • Machine Learning
  • Data Analysis
Geovana França
PhD Researcher
Concordia University
Montreal, QC

Education

2021 - Present

Doctor of Philosophy (Ph.D.) - Information and Systems Engineering

Concordia University

Montreal, Quebec, Canada

  • Research: Constrained PI-like Output Feedback Tracking Controllers via Robust Positive Invariant Sets
  • Cotutelle program with Federal University of Santa Catarina
  • Supervisors: Dr. Walter Lucia, Dr. Eugenio Castelan
  • Concordia University Graduate Fellowship
  • Expected completion: 2026
2019 - 2021

UFSC Logo Master of Science (M.S.) - Automation and Systems Engineering

Federal University of Santa Catarina (UFSC)

Florianópolis, Santa Catarina, Brazil

  • Research: Control under Constraints by Output Feedback of Linear Systems via Polyhedral Invariance and Bilinear Optimization
  • Supervisor: Dr. Eugenio Castelan
  • Funded by CAPES
2014 - 2018

Licentiate Degree - Mathematics

State University of Paraná (UNESPAR)

Campo Mourão, Paraná, Brazil

  • Research: Optimization under Uncertainty - Two-Stage Stochastic Approach with Recourse
  • Supervisor: Dr. Solange Santos
  • Funded by CAPES

Publications

Publication

A Constrained Tracking Controller for Ramp and Sinusoidal Reference Signals Using Robust Positive Invariance

Geovana França, Eugenio Castelan, Walter Lucia

2024 American Control Conference (ACC), 1670-1675

Publication

On the Design of Constrained PI-Like Output Feedback Tracking Controllers via Robust Positive Invariance and Bilinear Programming

Geovana França, Eugenio Castelan, Walter Lucia

IEEE Control Systems Letters 7, 1429-1434, 2023

Publication

Discrete-time Constrained PI-like Output Feedback Tracking Controllers - A Robust Positive Invariance and Bilinear Programming Approach

Geovana França, Jackson Ernesto, Eugenio Castelan, Walter Lucia

Simpósio Brasileiro de Automação Inteligente-SBAI 1 (2), 2023

Publication

Alternative Implementation to an Incremental Output-Feedback Design Approach for Constrained Discrete-Time Parameter-Varying Systems

Jackson Ernesto, Eugenio Castelan, Walter Lucia, Geovana França

IFAC-PapersOnLine 55 (35), 25-30, 2022

Master's Thesis

Control under Constraints by Output Feedback of Linear Systems via Polyhedral Invariance and Bilinear Optimization

Geovana França

Federal University of Santa Catarina (UFSC), 2021

Portfolio

Research Intern

Concordia University, Montreal, Canada

Supervisors: Dr. Luis Rodrigues, Dr. Walter Lucia, Dr. Eugenio Castelan

Mar. 2024 - Present
  • Conducted specialized research on controller design for constrained systems using Linear Matrix Inequality (LMI)
  • Implemented numerical optimization routines to perform comparative analysis between LMI and Robust Positive Invariance (RPI) methods, with application focus on the aerospace

Teaching Trainee - PIBID

State University of Parana, Campo Mourao, Brazil

Supervisors: Dr. Willian Bellini, Dr. Wellington Hermann

Jan. 2014 - Dec. 2017
  • Taught mathematics to elementary and high school students using Problem Solving and Mathematical Modeling approaches
  • Developed lesson plans, workshops, and instructional materials in collaboration with school mentors
  • Conducted research in mathematics education, wrote papers, and presented at conferences
ELEC 372

Fundamentals of Control Systems

Concordia University, Montreal, Canada

2024

COMP 232

Mathematics for Computer Science

Concordia University, Montreal, Canada

2023 - 2024

ENGR 201

Professional Practice and Responsibility

Concordia University, Montreal, Canada

2023 - 2024

ENCS 282

Technical Writing and Communication

Concordia University, Montreal, Canada

2023 - 2024

ENCS 393

Social and Ethical Dimensions of ICT

Concordia University, Montreal, Canada

2023

MATH

Applied Mathematics for Business

State University of Parana, Campo Mourao, Brazil

2017

MATH

Calculus II

State University of Parana, Campo Mourao, Brazil

2016

Instructor - Basic Mathematics Minicourse

State University of Parana

2016 (40 hours)

Topics:

  • Fractions: Conceptualization, equivalence, and operations
  • Exponentiation and Radicals
  • Algebraic Expressions: Addition, subtraction, and multiplication of polynomials; notable products; polynomial division; factorization
  • Operations with Algebraic Fractions
  • Real Numbers and Inequalities: Intervals; solving equations and inequalities; absolute value
CONTROL SYSTEMS

Constrained Output Feedback Controllers

Developing PI-like output feedback tracking controllers for autonomous systems using robust positive invariant sets. Focus on ensuring systems meet constraints while maintaining optimal performance.

Control Theory Optimization Autonomous Systems
OPTIMIZATION

Robust and Stochastic Optimization

Research on robust optimization approaches applied to linear programming problems under uncertainty. Implementation of Soyster's approach and two-stage stochastic programming with recourse.

Mathematical Modeling Uncertainty Linear Programming
AUTOMATION

Discrete-Time Parameter-Varying Systems

Incremental output feedback design for discrete-time systems with amplitude and rate control constraints. Novel approaches for handling parameter variations in constrained control systems.

Control Design Constraints Systems Engineering