Stochastic Gradient-Based Extremum Seeking Control Under Multi-Input and Output System Delays

This paper presents a novel multivariable gradient-based stochastic extremum seeking control strategy capable of addressing systems with multiple inputs and time delays in both input and output channels. Key features include phase compensation of stochastic disturbance signals and a new predictor ba...

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Bibliographic Details
Published in:International Conference on Control, Decision and Information Technologies (Online) pp. 2419 - 2424
Main Authors: Souza Silva, Paulo Cesar, Cesar Pellanda, Paulo, Oliveira, Tiago Roux
Format: Conference Proceeding
Language:English
Published: IEEE 01.07.2024
Subjects:
Backstepping
Control theory
Convergence
Delays
Information technology
Numerical stability
Optimization
Prediction algorithms
Real-time systems
Stability analysis
ISSN:2576-3555
Online Access:Get full text
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Summary:This paper presents a novel multivariable gradient-based stochastic extremum seeking control strategy capable of addressing systems with multiple inputs and time delays in both input and output channels. Key features include phase compensation of stochastic disturbance signals and a new predictor based on estimating the unknown Hessian. Rigorous analysis employing backstepping transformation and stochastic averaging techniques in infinite dimensions ensures exponential stability and convergence to a small neighborhood around the extremum point. A numerical example illustrates the effectiveness of the proposed approach for delay compensation.
ISSN:2576-3555
DOI:10.1109/CoDIT62066.2024.10708562