Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances

This paper deals with the problem of reducing the online computational complexity of receding horizon control (RHC) algorithms for a class of linear systems with a polytopic system description and with bounded additive disturbances. We explore a class of admissible polytopic controller dynamics invo...

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Main Authors: Gautam, A., Yun-Chung Chu., Yeng Chai Soh.
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
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Online Access:https://hdl.handle.net/10356/95597
http://hdl.handle.net/10220/11259
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-955972020-03-07T14:02:44Z Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances Gautam, A. Yun-Chung Chu. Yeng Chai Soh. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering This paper deals with the problem of reducing the online computational complexity of receding horizon control (RHC) algorithms for a class of linear systems with a polytopic system description and with bounded additive disturbances. We explore a class of admissible polytopic controller dynamics involving a disturbance feedforward term for a dynamic policy which ensures reduced conservativeness and also offers a way to significantly simplify the online computations by allowing the controller dynamics to be optimized offline. Moreover, for a deterministically time-varying system with additive disturbances, we explore the use of the proposed dynamic policy as the terminal control policy appended to a standard finite-horizon disturbance-based RHC policy. We also present results on the stability of the system under the RHC schemes based on the proposed policy, in the context of both the nominal and the (H∞-based) minmax cost minimizations. Results of simulation studies that illustrate the effective performance and the computational efficiency of the proposed control schemes are included. 2013-07-12T02:08:17Z 2019-12-06T19:17:59Z 2013-07-12T02:08:17Z 2019-12-06T19:17:59Z 2011 2011 Journal Article Gautam, A., Chu, Y.-C., & Soh, Y. C. (2012). Optimized Dynamic Policy for Receding Horizon Control of Linear Time-Varying Systems With Bounded Disturbances. IEEE Transactions on Automatic Control, 57(4), 973-988. https://hdl.handle.net/10356/95597 http://hdl.handle.net/10220/11259 10.1109/TAC.2011.2170109 en IEEE transactions on automatic control © 2011 IEEE.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Gautam, A.
Yun-Chung Chu.
Yeng Chai Soh.
Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
description This paper deals with the problem of reducing the online computational complexity of receding horizon control (RHC) algorithms for a class of linear systems with a polytopic system description and with bounded additive disturbances. We explore a class of admissible polytopic controller dynamics involving a disturbance feedforward term for a dynamic policy which ensures reduced conservativeness and also offers a way to significantly simplify the online computations by allowing the controller dynamics to be optimized offline. Moreover, for a deterministically time-varying system with additive disturbances, we explore the use of the proposed dynamic policy as the terminal control policy appended to a standard finite-horizon disturbance-based RHC policy. We also present results on the stability of the system under the RHC schemes based on the proposed policy, in the context of both the nominal and the (H∞-based) minmax cost minimizations. Results of simulation studies that illustrate the effective performance and the computational efficiency of the proposed control schemes are included.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Gautam, A.
Yun-Chung Chu.
Yeng Chai Soh.
format Article
author Gautam, A.
Yun-Chung Chu.
Yeng Chai Soh.
author_sort Gautam, A.
title Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
title_short Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
title_full Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
title_fullStr Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
title_full_unstemmed Optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
title_sort optimized dynamic policy for receding horizon control of linear time-varying systems with bounded disturbances
publishDate 2013
url https://hdl.handle.net/10356/95597
http://hdl.handle.net/10220/11259
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