Journal ArticleDOI
Stochastic extremum seeking in the presence of constraints
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TLDR
It is shown that the only possible convergence points in the vector case are the constrained local minima, and the main contribution of this paper consists in the extension of the CAM algorithm to vector problems.About:
This article is published in IFAC Proceedings Volumes.The article was published on 2005-01-01. It has received 15 citations till now. The article focuses on the topics: Ode & Singular perturbation.read more
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Book ChapterDOI
Analysis of Recursive Stochastic Algorithms
TL;DR: In this article, a deterministic differential equation can be associated with a recursive algorithm, and problems like convergence with probality one, possible convergence points and asymptotic behavior of the algorithm can all be studied in terms of this differential equation.
Journal ArticleDOI
A constrained extremum-seeking control approach
TL;DR: In this article, an extremum-seeking control approach for a class of uncertain nonlinear dynamical systems subject to constraints is proposed, where the constraints are enforced by using an interior point strategy that preserves feasibility of the systems' trajectories.
Journal ArticleDOI
Saddle Point Seeking for Convex Optimization Problems
TL;DR: This paper proposes a feedback which steers a single-integrator system to the set of saddle points of the Lagrangian associated to the convex optimization problem, and proves practical uniform asymptotic stability of the setof saddle points for the extremum seeking system for strictly convex as well as linear programs.
Journal ArticleDOI
Extremum seeking on submanifolds in the Euclidian space
TL;DR: Using a trajectory approximation technique based on Lie brackets, it is proved that uniform asymptotic stability of the so-called Lie bracket system on the manifold implies practical uniform asylums of the corresponding extremum seeking system onThe manifold.
References
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Journal ArticleDOI
Analysis of recursive stochastic algorithms
TL;DR: It is shown how a deterministic differential equation can be associated with the algorithm and examples of applications of the results to problems in identification and adaptive control.
Book ChapterDOI
Analysis of Recursive Stochastic Algorithms
TL;DR: In this article, a deterministic differential equation can be associated with a recursive algorithm, and problems like convergence with probality one, possible convergence points and asymptotic behavior of the algorithm can all be studied in terms of this differential equation.
Journal ArticleDOI
Extremum seeking control for soft landing of an electromechanical valve actuator
TL;DR: An extremum seeking controller designed to reduce the magnitude of impacts experienced by the electromechanical valve actuator, recently receiving attention for enabling variable valve timing in internal combustion engines.
Journal ArticleDOI
Adaptive extremum seeking control of continuous stirred-tank bioreactors
TL;DR: In this article, an adaptive extremum-seeking control scheme for continuous stirred-tank bioreactors is proposed, which utilizes the structure information of the kinetics of bioresources to construct a seeking algorithm that drives the system states to the desired setpoints that optimize the value of an objective function.
Journal ArticleDOI
Self-tuning extremum control
P.E. Wellstead,P.G. Scotson +1 more
TL;DR: The paper considers a self-tuning extremum controller for a specific one-dimensional performance index, and demonstrates its behaviour when used in simulation and in a practical situation drawn from the automotive industry.