Reference : Pulse-Based Control Using Koopman Operator Under Parametric Uncertainty
Scientific journals : Article
Engineering, computing & technology : Computer science
http://hdl.handle.net/2268/213386
Pulse-Based Control Using Koopman Operator Under Parametric Uncertainty
English
Sootla, Aivar [> >]
Ernst, Damien mailto [Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Smart grids >]
In press
IEEE Transactions on Automatic Control
IEEE
Yes (verified by ORBi)
International
0018-9286
Piscataway
NJ
[en] Koopman Operator ; Optimal Control ; Isostables ; Monotone Systems ; Bistable Systems ; Genetic Toggle Switch
[en] In applications, such as biomedicine and systems/synthetic biology, technical limitations in actuation complicate implementation of time-varying control signals. In order to alleviate some of these limitations, it may be desirable to derive simple control policies, such as step functions with fixed magnitude and length (or temporal pulses). In this technical note, we further develop a recently proposed pulse-based solution to the convergence problem, i.e., minimizing the convergence time to the target exponentially stable equilibrium, for monotone systems. In particular, we extend this solution to monotone systems with parametric uncertainty. Our solutions also provide worst-case estimates on convergence times. Furthermore, we indicate how our tools can be used for a class of non-monotone systems, and more importantly how these tools can be extended to other control problems. We illustrate our approach on switching under parametric uncertainty and regulation around a saddle point problems in a genetic toggle switch system.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/213386
10.1109/TAC.2017.2736941
https://arxiv.org/abs/1708.00232

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