4 papers · 1 filter
Lyapunov Constructions for System Interconnections Arising from Adaptation in Some Optimization Methods
Qixu Wang, Patrick McNamee, Zahra Nili Ahmadabadi +1
Interconnected systems have been widely studied, with a focus on interconnected systems whose subsystems are solely input-to-state stable (ISS) or passive systems. The focus of thi…
Extremum Seeking (ES) is Practically Stable Whenever Model-Based ES is Stable
Patrick McNamee, Zahra Nili Ahmadabadi, Mirslav Krstić
Extremum seeking controllers (ESCs) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs…
Adaptive Extremum Seeking Control via the RMSprop Optimizer
Patrick McNamee, Zahra Nili Ahmadabadi
Extremum Seeking Control (ESC) is a well-known set of continuous time algorithms for model-free optimization of a cost function. One issue for ESCs is the convergence rates of para…
Extremum Seeking is Stable for Scalar Maps that are Strictly but Not Strongly Convex
Patrick McNamee, Miroslav Krstić, Zahra Nili Ahmadabadi
For a map that is strictly but not strongly convex, model-based gradient extremum seeking has an eigenvalue of zero at the extremum, i.e., it fails at exponential convergence. Inte…