Abstract
This paper develops a constructive time-delay approach to averaging for gradient-based extremum seeking (ES) control of nonlinear static maps of non-quadratic form. Under the assumption that some prior knowledge of the nonlinear map with its derivatives is available, for the first time, we derive a quantitative analysis for ES close-loop systems with upper bounds on the tuning parameter that preserves the exponential stability and on the convergence error of extremum seeking. By transforming the ES system into a time-delay neutral type system with distributed delays, the developed method gives an accurate perturbed system of ES without employing any approximate calculation, and suggests a direct Lyapunov-Krasovskii approach in the form of linear matrix inequalities (LMIs), for the transformed time-delay plant to derive efficient stability conditions .
Original language | English |
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Pages (from-to) | 258-263 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 56 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2023 |
Event | 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022 - Canberra, Australia Duration: 4 Jan 2023 → 6 Jan 2023 |
Funding
Funders | Funder number |
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Zhejiang Jianbing Program | 2022C01035 |
Zhejiang Key R&D Program | 2021C01198 |
National Natural Science Foundation of China | 61621002 |
Israel Science Foundation | 673/19 |
State Key Laboratory of Industrial Control Technology | ICT2022A08, ICT2022B70 |
National Key Research and Development Program of China | 2018YFA0703800, 2021YFB1714100 |
Keywords
- Extremum Seeking
- Non-quadratic
- Nonlinear
- Static
- Time-delay