Skip to main content

Leila Bridgeman

Assistant Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
Thomas Lord Department of Mechanical Engineering and Materials Science
219 North Building, Box 103957, Durham, NC 27708
North Building, Office 129, 304RESEARCH Dr-Box 103957, Durham, NC 27708

Overview


Leila Bridgeman joined Duke as an assistant professor of mechanical engineering and materials science on January 1, 2018.

She received B.Sc. and M.Sc. degrees in Applied Mathematics in 2008 and 2010 from McGill University, Montreal. In 2016, she completed a Ph.D. in Mechanical engineering, also at McGill University.

Her doctoral research involved a return to the foundational work of George Zames, exploring how the theory of conic sectors can be used to design controllers that guarantee closed-loop input-output stability when more conventional methods fail to apply. Her graduate studies involved research semesters at University of Michigan, University of Bern, and University of Victoria, along with an internship at Mitsubishi Electric Research Laboratories (MERL) in Boston.

Through her research, Leila strives to bridge the gap between theoretical results in robust and optimal control and their use in practice. She explores how the tools of numerical analysis and input-output stability theory can be applied to the most challenging of controls problems, including the control of delayed, open-loop unstable, and nonminimum-phase systems.  Her focus has been on the development of readily-applicable controller synthesis and stability analysis methods based on the evaluation of linear matrix inequalities (LMIs). Resulting publications have considered applications of this work to robotic, process control, and time-delay systems.

She is also interested in model predictive control (MPC) especially when applied to switched systems. Bridgeman continues to collaborate with colleagues at MERL, enabling the use of MPC in novel applications including networked systems, vehicle control, heating, and ventilation.

Current Appointments & Affiliations


Assistant Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science · 2018 - Present Thomas Lord Department of Mechanical Engineering and Materials Science, Pratt School of Engineering

Recent Publications


Iterative, local, small-signal L2 stability analysis of nonlinear constrained systems

Journal Article Systems and Control Letters · May 1, 2025 This paper provides a method to analyze the local, small-signal L2-gain of control-affine nonlinear systems on compact sets via iterative semi-definite programs. First, a continuous piecewise affine storage function and the corresponding upper bound on the ... Full text Cite

Dissipative imitation learning for discrete dynamic output feedback control with sparse data sets

Journal Article International Journal of Robust and Nonlinear Control · September 10, 2024 Imitation learning enables synthesis of controllers for systems with complex objectives and uncertain plant models. However, ensuring an imitation learned controller is stable requires copious amounts of data and/or a known plant model. In this paper, we e ... Full text Cite

Systematic, Lyapunov-Based, Safe and Stabilizing Controller Synthesis for Constrained Nonlinear Systems

Journal Article IEEE Transactions on Automatic Control · May 1, 2024 A controller synthesis method for state- and input-constrained nonlinear systems is presented that seeks continuous piecewise affine (CPA) Lyapunov-like functions and controllers simultaneously. Nonconvex optimization problems are formulated on triangulate ... Full text Cite
View All Publications

Recent Grants


Collaborative Research: Direct Data-Driven Positive, Control, and Contractive Invariant Sets

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2026

Title: NRT-FW-HTF: NSF Traineeship in the Advancement of Surgical Technologies

Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026

Robust, Distributed Control for Coordinating Aerial Vehicles

ResearchPrincipal Investigator · Awarded by Office of Naval Research · 2022 - 2025

View All Grants

Education, Training & Certifications


McGill University (Canada) · 2016 Ph.D.