Optimal fuzzy controller based on non-monotonic Lyapunov function with a case study on laboratory helicopter

0505120 - ÚTIA 2020 RIV US eng J - Článek v odborném periodiku
Behzadimanesh, S. - Fatehi, A. - Fakhimi Derakhshan, Siavash
Optimal fuzzy controller based on non-monotonic Lyapunov function with a case study on laboratory helicopter.
International Journal of Systems Science. Roč. 50, č. 3 (2019), s. 652-667. ISSN 0020-7721. E-ISSN 1464-5319
Institucionální podpora: RVO:67985556
Klíčová slova: Takagi-Sugenofuzzy systems * common quadratic Lyapunov function * non-monotonic Lyapunov function * optimal fuzzy control * laboratory twin-rotor helicopter * linear matrix inequalities
Obor OECD: Automation and control systems
Impakt faktor: 2.149, rok: 2019
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2019/AS/fakhimi-0505120.pdf https://www.tandfonline.com/doi/full/10.1080/00207721.2019.1567864

This paper presents a new approach to design an observer-based optimal fuzzy state feedback controller for discrete-time Takagi–Sugeno fuzzy systems via LQR based on the non-monotonic Lyapunov function. Non-monotonic Lyapunov stability theorem proposed less conservative conditions rather than common quadratic method. To compare with optimal fuzzy feedback controller design based on common quadratic Lyapunov function, this paper proceeds reformulation of the observer-based optimal fuzzy state feedback controller based on common quadratic Lyapunov function. Also in both methodologies, the dependence of optimisation problem on initial conditions is omitted. As a practical case study, the controllers are implemented on a laboratory twin-rotor helicopter to compare the controllers' performance.
Trvalý link: http://hdl.handle.net/11104/0296951