84 citations · 464 across the 36 of their papers we have counts for
8 papers · 1 filter
Closed-Loop Koopman Operator Approximation
Steven Dahdah, James Richard Forbes
This paper proposes a method to identify a Koopman model of a feedback-controlled system given a known controller. The Koopman operator allows a nonlinear system to be rewritten as…
System Identification and Two-Degree-of-Freedom Control of Nonlinear, Viscoelastic Tissues
Amanda Bianco, Raphael Zonis, Anne-Marie Lauzon +2
Objective: This paper presents a force control scheme for brief isotonic holds in an isometrically contracted muscle tissue, with minimal overshoot and settling time to measure its…
System Norm Regularization Methods for Koopman Operator Approximation
Steven Dahdah, James Richard Forbes
Approximating the Koopman operator from data is numerically challenging when many lifting functions are considered. Even low-dimensional systems can yield unstable or ill-condition…
Linear Matrix Inequality Approaches to Koopman Operator Approximation
Steven Dahdah, James Richard Forbes
The regression problem associated with finding a matrix approximation of the Koopman operator from data is considered. The regression problem is formulated as a convex optimization…
LMI Properties and Applications in Systems, Stability, and Control Theory
Ryan James Caverly, James Richard Forbes
Linear matrix inequalities (LMIs) commonly appear in systems, stability, and control applications. Many analysis and synthesis problems in these areas can be solved as feasibility…
Interior-Conic Polytopic Systems Analysis and Control
Alex Walsh, James Richard Forbes
Linear parameter varying (LPV) analysis and controller synthesis theory rooted in the small gain and passivity framework currently exist. The study of conic systems encompasses bot…
Higher-Order Nonlinear Complementary Filtering on Lie Groups
David Evan Zlotnik, James Richard Forbes
Nonlinear observer design for systems whose state space evolves on Lie groups is considered. The proposed method is similar to previously developed nonlinear observers in that it i…
Conic-sector-based analysis and control synthesis for linear parameter varying systems
S Sivaranjani, James Richard Forbes, Peter Seiler +1
We present a conic sector theorem for linear parameter varying (LPV) systems in which the traditional definition of conicity is violated for certain values of the parameter. We sho…