MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems

MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems

New directions in model predictive control (MPC) are introduced. On the one hand, we combine the input-to-state dynamical stability (ISDS) with MPC for single and interconnected systems. On the other hand, we introduce MPC schemes guaranteeing input-to-state stability (ISS) of single systems and net...

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Main Authors: Sergey Dashkovskiy, Lars Naujok
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/964742
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spelling doaj-4c070fdf4f49499e964aa5be4ccc28392020-11-24T23:00:36ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/964742964742MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) SystemsSergey Dashkovskiy0Lars Naujok1Department of Civil Engineering, University of Applied Sciences Erfurt, P.O. Box 450155, 99051 Erfurt, GermanyCentre of Industrial Mathematics, University of Bremen, P.O. Box 330440, 28334 Bremen, GermanyNew directions in model predictive control (MPC) are introduced. On the one hand, we combine the input-to-state dynamical stability (ISDS) with MPC for single and interconnected systems. On the other hand, we introduce MPC schemes guaranteeing input-to-state stability (ISS) of single systems and networks with time delays. In both directions, recent results of the stability analysis from the mentioned areas are applied using Lyapunov function(al)s to show that the corresponding cost function(al) of the MPC scheme is a Lyapunov function(al). For networks, we show that under a small-gain condition and with an optimal control obtained by an MPC scheme for networks, it has the ISDS property or ISS property, respectively.http://dx.doi.org/10.1155/2012/964742
collection DOAJ
language English
format Article
sources DOAJ
author Sergey Dashkovskiy
Lars Naujok
spellingShingle Sergey Dashkovskiy
Lars Naujok
MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems
Mathematical Problems in Engineering
author_facet Sergey Dashkovskiy
Lars Naujok
author_sort Sergey Dashkovskiy
title MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems
title_short MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems
title_full MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems
title_fullStr MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems
title_full_unstemmed MPC Schemes Guaranteeing ISDS and ISS for Nonlinear (Time-Delay) Systems
title_sort mpc schemes guaranteeing isds and iss for nonlinear (time-delay) systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description New directions in model predictive control (MPC) are introduced. On the one hand, we combine the input-to-state dynamical stability (ISDS) with MPC for single and interconnected systems. On the other hand, we introduce MPC schemes guaranteeing input-to-state stability (ISS) of single systems and networks with time delays. In both directions, recent results of the stability analysis from the mentioned areas are applied using Lyapunov function(al)s to show that the corresponding cost function(al) of the MPC scheme is a Lyapunov function(al). For networks, we show that under a small-gain condition and with an optimal control obtained by an MPC scheme for networks, it has the ISDS property or ISS property, respectively.
url http://dx.doi.org/10.1155/2012/964742
work_keys_str_mv AT sergeydashkovskiy mpcschemesguaranteeingisdsandissfornonlineartimedelaysystems
AT larsnaujok mpcschemesguaranteeingisdsandissfornonlineartimedelaysystems
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