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Avtomatika i Telemekhanika, 2014, Issue 1, Pages 68–89
(Mi at6177)
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This article is cited in 5 scientific papers (total in 5 papers)
Linear Systems
Control with constraints for linear stationary systems: an interpolation approach
H.-N. Nguyena, P.-O. Gutmana, S. Olarub, M. Hovdc a Technion – Israel Institute of Technology, Haifa, Israel
b Supélec – École Supérieure d’Électricité, Gif-sur-Yvette, France
c Norwegian University of Science and Technology, Trondheim, Norway
Abstract:
We propose a new approach to controlling a discrete linear stationary system with a polyhedral constraint on the state and input. The basic idea is to use interpolation. The control law has both explicit and implicit forms. In the implicit form, at any moment of time, at most two linear programming problems are solved online. In the explicit form, the control law contains piecewise affine and continuous functions of state. This method can be viewed as an alternative to predictive control. We show proofs of recursive realizability and asymptotic stability.
Citation:
H.-N. Nguyen, P.-O. Gutman, S. Olaru, M. Hovd, “Control with constraints for linear stationary systems: an interpolation approach”, Avtomat. i Telemekh., 2014, no. 1, 68–89; Autom. Remote Control, 75:1 (2014), 57–74
Linking options:
https://www.mathnet.ru/eng/at6177 https://www.mathnet.ru/eng/at/y2014/i1/p68
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Statistics & downloads: |
Abstract page: | 369 | Full-text PDF : | 85 | References: | 39 | First page: | 12 |
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