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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Veröffentlicht in:International Conference on Control, Decision and Information Technologies (Online) S. 2419 - 2424
Hauptverfasser: Souza Silva, Paulo Cesar, Cesar Pellanda, Paulo, Oliveira, Tiago Roux
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.07.2024
Schlagworte:
Backstepping
Control theory
Convergence
Delays
Information technology
Numerical stability
Optimization
Prediction algorithms
Real-time systems
Stability analysis
ISSN:2576-3555
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Zusammenfassung: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