Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions

Avinash Kumar; Tushar Jain

doi:10.1109/CCTA.2019.8920685

Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions

Avinash Kumar, Tushar Jain

Indian Institute of Technology Mandi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This article considers the problem of sub optimal regulator design for linear systems subject to additive but bounded disturbances. The information regarding the bounds is used to formulate another optimal control problem. The system used in the latter problem is the original system subject to worst case of disturbance. Then the latter optimal control problem is solved using Krotov sufficient conditions via selection of the so-called Krotov function. The selection of Krotov function is made such that the iterative computation of solutions (which is required while employing these conditions) is avoided. The resulting controller, which is sub-optimal for the original problem, is comprised of a state-feedback term and a time-varying term which compensates for the effect of disturbances. The numerical examples demonstrate the application of developed methodology.

Original language	English
Title of host publication	CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	830-834
Number of pages	5
ISBN (Electronic)	9781728127675
DOIs	https://doi.org/10.1109/CCTA.2019.8920685
Publication status	Published - 1 Aug 2019
Externally published	Yes
Event	3rd IEEE Conference on Control Technology and Applications, CCTA 2019 - Hong Kong, China Duration: 19 Aug 2019 → 21 Aug 2019

Publication series

Name	CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications

Conference

Conference	3rd IEEE Conference on Control Technology and Applications, CCTA 2019
Country/Territory	China
City	Hong Kong
Period	19/08/19 → 21/08/19

Access to Document

10.1109/CCTA.2019.8920685

Cite this

Kumar, A., & Jain, T. (2019). Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions. In CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications (pp. 830-834). Article 8920685 (CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCTA.2019.8920685

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title = "Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions",

abstract = "This article considers the problem of sub optimal regulator design for linear systems subject to additive but bounded disturbances. The information regarding the bounds is used to formulate another optimal control problem. The system used in the latter problem is the original system subject to worst case of disturbance. Then the latter optimal control problem is solved using Krotov sufficient conditions via selection of the so-called Krotov function. The selection of Krotov function is made such that the iterative computation of solutions (which is required while employing these conditions) is avoided. The resulting controller, which is sub-optimal for the original problem, is comprised of a state-feedback term and a time-varying term which compensates for the effect of disturbances. The numerical examples demonstrate the application of developed methodology.",

author = "Avinash Kumar and Tushar Jain",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 3rd IEEE Conference on Control Technology and Applications, CCTA 2019 ; Conference date: 19-08-2019 Through 21-08-2019",

year = "2019",

month = aug,

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doi = "10.1109/CCTA.2019.8920685",

language = "English",

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Kumar, A & Jain, T 2019, Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions. in CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications., 8920685, CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications, Institute of Electrical and Electronics Engineers Inc., pp. 830-834, 3rd IEEE Conference on Control Technology and Applications, CCTA 2019, Hong Kong, China, 19/08/19. https://doi.org/10.1109/CCTA.2019.8920685

Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions. / Kumar, Avinash; Jain, Tushar.
CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications. Institute of Electrical and Electronics Engineers Inc., 2019. p. 830-834 8920685 (CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Kumar, Avinash

AU - Jain, Tushar

PY - 2019/8/1

Y1 - 2019/8/1

N2 - This article considers the problem of sub optimal regulator design for linear systems subject to additive but bounded disturbances. The information regarding the bounds is used to formulate another optimal control problem. The system used in the latter problem is the original system subject to worst case of disturbance. Then the latter optimal control problem is solved using Krotov sufficient conditions via selection of the so-called Krotov function. The selection of Krotov function is made such that the iterative computation of solutions (which is required while employing these conditions) is avoided. The resulting controller, which is sub-optimal for the original problem, is comprised of a state-feedback term and a time-varying term which compensates for the effect of disturbances. The numerical examples demonstrate the application of developed methodology.

AB - This article considers the problem of sub optimal regulator design for linear systems subject to additive but bounded disturbances. The information regarding the bounds is used to formulate another optimal control problem. The system used in the latter problem is the original system subject to worst case of disturbance. Then the latter optimal control problem is solved using Krotov sufficient conditions via selection of the so-called Krotov function. The selection of Krotov function is made such that the iterative computation of solutions (which is required while employing these conditions) is avoided. The resulting controller, which is sub-optimal for the original problem, is comprised of a state-feedback term and a time-varying term which compensates for the effect of disturbances. The numerical examples demonstrate the application of developed methodology.

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DO - 10.1109/CCTA.2019.8920685

M3 - Conference contribution

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T3 - CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications

SP - 830

EP - 834

BT - CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 3rd IEEE Conference on Control Technology and Applications, CCTA 2019

Y2 - 19 August 2019 through 21 August 2019

ER -

Kumar A, Jain T. Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions. In CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications. Institute of Electrical and Electronics Engineers Inc. 2019. p. 830-834. 8920685. (CCTA 2019 - 3rd IEEE Conference on Control Technology and Applications). doi: 10.1109/CCTA.2019.8920685

Suboptimal Control of Linear Systems with Bounded Disturbances using Krotov sufficient Conditions

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