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State estimation-based robust control design for periodic piecewise systems with time-varying delays.
- Source :
-
International Journal of Systems Science . Jan2023, Vol. 54 Issue 2, p405-422. 18p. - Publication Year :
- 2023
-
Abstract
- In this article, the issue of finite-time boundedness is investigated for a class of uncertain periodic piecewise systems subject to time-varying input/state delays and external disturbances. The main aim of this article is to design an H ∞ observer-based control protocol for guaranteeing the resulting closed-loop system to be finite-time bounded. The state dynamics of the system are not always directly measurable, so that a system states are reconstructed by constructing a periodic piecewise observer system to get the required result. Subsequently, the Lyapunov–Krasovskii functional by the decomposition of periodic positive-definite matrices is built and in conjunction with convex optimisation technique and extended Wirtinger's integral inequality, the sufficient conditions are derived to assure the finite-time boundedness of the closed-loop system. In particular, the corresponding periodic piecewise time-varying controller and observer gain matrices can be obtained as solutions to a set of derived sufficient linear matrix inequality-based conditions. Finally, the efficacy of the proposed control design is examined by utilizing two numerical examples with simulation results including a vibration system model. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207721
- Volume :
- 54
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- International Journal of Systems Science
- Publication Type :
- Academic Journal
- Accession number :
- 162432027
- Full Text :
- https://doi.org/10.1080/00207721.2022.2123264