Sampled-data control of Lur'e systems. (May 2021)
- Record Type:
- Journal Article
- Title:
- Sampled-data control of Lur'e systems. (May 2021)
- Main Title:
- Sampled-data control of Lur'e systems
- Authors:
- Gabriel, Gabriela W.
Geromel, José C. - Abstract:
- Abstract: The main purpose of this paper is to fill a gap in the literature concerning the problem of designing a sampled-data control law for continuous-time Lur'e systems. The goal is to design a state feedback sampled-data control for this class of nonlinear systems preserving global asymptotic stability and minimizing a guaranteed quadratic cost. The main challenge towards the solution of the proposed problem is to handle this class of nonlinear system in order to propose less conservative design conditions expressed through differential linear matrix inequalities - (DLMIs). Bellman's Principle of Optimality applied together with the Popov–Lyapunov function that emerges from the celebrated Popov Stability Criterion is the key issue to obtain the reported results. Two examples are solved for illustration.
- Is Part Of:
- Nonlinear analysis. Volume 40(2021)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 40(2021)
- Issue Display:
- Volume 40, Issue 2021 (2021)
- Year:
- 2021
- Volume:
- 40
- Issue:
- 2021
- Issue Sort Value:
- 2021-0040-2021-0000
- Page Start:
- Page End:
- Publication Date:
- 2021-05
- Subjects:
- Sampled-data control -- Differential linear matrix inequality -- Hybrid nonlinear systems
Nonlinear functional analysis -- Periodicals
Analyse fonctionnelle non linéaire -- Périodiques
Nonlinear functional analysis
Periodicals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/1751570X ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.nahs.2020.100994 ↗
- Languages:
- English
- ISSNs:
- 1751-570X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.315800
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- 16708.xml