Feedback control design using sum of squares optimisation

DOI10.1016/j.ejcon.2022.100683zbMath1501.93058OpenAlexW4282587368WikidataQ120717318 ScholiaQ120717318MaRDI QIDQ2095324

Antonis Papachristodoulou, Elias August

Publication date: 9 November 2022

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2022.100683

zbMATH Keywords

optimal controlnonlinear controlsum of squares decomposition

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20)

Uses Software

• Matlab
• Sostools
• GitHub

Cites Work

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• Advances in computational Lyapunov analysis using sum-of-squares programming
• Robust and adaptive control. With aerospace applications.
• Semidefinite programming relaxations for semialgebraic problems
• Sum of squares approach for nonlinear \(\operatorname{H}_\infty\) control
• Application of sum of squares method in nonlinear \(H_ \infty\) control for satellite attitude maneuvers
• Some NP-complete problems in quadratic and nonlinear programming