2017
DOI: 10.28991/esj-2017-01117
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Control of Constrained Linear-Time Varying Systems via Kautz Parametrization of Model Predictive Control Scheme

Abstract: Kautz parametrization of the Model Predictive Control (MPC) method has shown its ability to reduce the number of decision variables in Linear Time Invariant (LTI) systems. This paper devotes to extend Kautz network to be used in MPC Algorithm for linear time-varying systems. It is shown that Kautz network enables us to maintain a satisfactory performance while the number of decision variables are reduced considerably. Stability of the algorithm is studied under the framework of the optimal solution. The propos… Show more

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Cited by 3 publications
(1 citation statement)
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“…The system can track the reference trajectory precisely and with a high robustness to parametric uncertainty. In Ettefagh et al (2017), a novel Lyapunov function has been defined to ensure asymptotic stability of the linear time-varying system. In (Berdnikov and Lokhin 2019), the system asymptotic stability has been ensured using new spline Lyapunov functions instead of classical quadratic Lyapunov functions which provide bigger stability regions.…”
Section: Introductionmentioning
confidence: 99%
“…The system can track the reference trajectory precisely and with a high robustness to parametric uncertainty. In Ettefagh et al (2017), a novel Lyapunov function has been defined to ensure asymptotic stability of the linear time-varying system. In (Berdnikov and Lokhin 2019), the system asymptotic stability has been ensured using new spline Lyapunov functions instead of classical quadratic Lyapunov functions which provide bigger stability regions.…”
Section: Introductionmentioning
confidence: 99%