I develop novel engineering methods and advanced mathematical tools for investigating large-scale multi-agent systems and ensemble systems. Applications include autonomous and self-driving vehicles, unmanned aircrafts, sensor-actuator networks, social networks, and energy networks. I address questions about designing control laws that organize the multi-agent systems for achieving global objectives, questions about controlling and stabilizing multi-agent systems under the constraint that agents can only access local informations, questions about improving/fixing the robustness issues under perturbations and/or malicious attacks, and questions about optimal allocation of resources—such as power supply, sensor bandwidth, computational capacity—for maximizing performance measures and/or minimizing costs.
geometric control theory, stochastic control theory, optimization, decision theory, networked control, distributed control, ensemble control and estimation
ECEN 3810 - Introduction to Probability Theory
Fall 2019 / Spring 2021 / Spring 2022 / Spring 2023
Covers the fundamentals of probability theory, and treats the random variables and random processes of greatest importance in electrical engineering. Provides a foundation for study of communication theory, control theory, reliability theory, and optics. Credit not granted for this course and MATH 4510 or APPM 3570.
ECEN 5008 - Special Topics
Spring 2019 / Spring 2020 / Fall 2020
Examines a special topic in Electrical, Computer and Energy Engineering. May be repeated up to 9 total credits.
ECEN 5448 - Advanced Linear Systems
Fall 2018 / Fall 2019 / Fall 2020 / Fall 2021
Offers a state space approach to analysis and synthesis of linear systems, state transition matrix, controllability and observability, system transformation, minimal realization, and analysis and synthesis of multi-input and multi-output systems. Recommended prerequisites: ECEN 3300 and ECEN 4138.
ECEN 5488 - Geometric Control Theory
Introduce geometric approaches to study dynamical control systems over manifolds. Cover fundamental control-theoretical results, such as controllability, observability, feedback stabilizability, symmetries and group actions, that are beyond linear control systems. Establish connections between control theory and mathematics, especially topology, differential geometry, Lie groups and Lie algebras. Final project focuses on engineering applications related to students� own research interests. Recommended prerequisites: a solid foundation in Linear Algebra and ECEN 4138/5138 and ECEN 5448. Same as MCEN 5488.