Stabilization and tracking control for a class of discrete-time nonlinear systems

Muhammad Afzal Lashari; Qamar Zia; Muhammad Rehan

doi:10.1109/IBCAST.2015.7058496

Stabilization and tracking control for a class of discrete-time nonlinear systems

Muhammad Afzal Lashari, Qamar Zia, Muhammad Rehan

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

2 Scopus citations

Abstract

In this paper, the problem is considered for stabilization and tracking control for discrete-time Lipschitz nonlinear systems. This study provides a methodology to deal with a general case of discrete-time nonlinear systems, which fulfill the Lipschitz nonlinearity condition. Due to the superior performance and extreme versatility of digital controllers, a discrete-time control approach is proposed with state feedback technique and bi-linear matrix inequalities (BMIs) for nonlinear systems to achieve, the stabilization and tracking control objectives. For a class of Lipschitz nonlinear systems, a global asymptotic stability is ensured for system states as well as output tracking with very small steady state error. In the support of proposed methodologies, two simulation examples of nonlinear systems are provided.

Original language	English
Title of host publication	Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015
Editors	Muhammad Zafar-uz-Zaman
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	152-156
Number of pages	5
ISBN (Electronic)	9781479963690
DOIs	https://doi.org/10.1109/IBCAST.2015.7058496
State	Published - 11 Mar 2015
Externally published	Yes

Publication series

Name	Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Discrete-time nonlinear systems
Lipschitz condition
Lyapunov stability
bi-linear matrix inequality (BMI)

ASJC Scopus subject areas

General Materials Science
Water Science and Technology
Fluid Flow and Transfer Processes
General Computer Science

Access to Document

10.1109/IBCAST.2015.7058496

Cite this

Lashari, M. A., Zia, Q., & Rehan, M. (2015). Stabilization and tracking control for a class of discrete-time nonlinear systems. In M. Zafar-uz-Zaman (Ed.), Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015 (pp. 152-156). Article 7058496 (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IBCAST.2015.7058496

Lashari, Muhammad Afzal ; Zia, Qamar ; Rehan, Muhammad. / Stabilization and tracking control for a class of discrete-time nonlinear systems. Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015. editor / Muhammad Zafar-uz-Zaman. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 152-156 (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015).

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title = "Stabilization and tracking control for a class of discrete-time nonlinear systems",

abstract = "In this paper, the problem is considered for stabilization and tracking control for discrete-time Lipschitz nonlinear systems. This study provides a methodology to deal with a general case of discrete-time nonlinear systems, which fulfill the Lipschitz nonlinearity condition. Due to the superior performance and extreme versatility of digital controllers, a discrete-time control approach is proposed with state feedback technique and bi-linear matrix inequalities (BMIs) for nonlinear systems to achieve, the stabilization and tracking control objectives. For a class of Lipschitz nonlinear systems, a global asymptotic stability is ensured for system states as well as output tracking with very small steady state error. In the support of proposed methodologies, two simulation examples of nonlinear systems are provided.",

keywords = "Discrete-time nonlinear systems, Lipschitz condition, Lyapunov stability, bi-linear matrix inequality (BMI)",

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Lashari, MA, Zia, Q & Rehan, M 2015, Stabilization and tracking control for a class of discrete-time nonlinear systems. in M Zafar-uz-Zaman (ed.), Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015., 7058496, Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015, Institute of Electrical and Electronics Engineers Inc., pp. 152-156. https://doi.org/10.1109/IBCAST.2015.7058496

Stabilization and tracking control for a class of discrete-time nonlinear systems. / Lashari, Muhammad Afzal; Zia, Qamar; Rehan, Muhammad.
Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015. ed. / Muhammad Zafar-uz-Zaman. Institute of Electrical and Electronics Engineers Inc., 2015. p. 152-156 7058496 (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015).

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

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AB - In this paper, the problem is considered for stabilization and tracking control for discrete-time Lipschitz nonlinear systems. This study provides a methodology to deal with a general case of discrete-time nonlinear systems, which fulfill the Lipschitz nonlinearity condition. Due to the superior performance and extreme versatility of digital controllers, a discrete-time control approach is proposed with state feedback technique and bi-linear matrix inequalities (BMIs) for nonlinear systems to achieve, the stabilization and tracking control objectives. For a class of Lipschitz nonlinear systems, a global asymptotic stability is ensured for system states as well as output tracking with very small steady state error. In the support of proposed methodologies, two simulation examples of nonlinear systems are provided.

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KW - Lyapunov stability

KW - bi-linear matrix inequality (BMI)

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Lashari MA, Zia Q, Rehan M. Stabilization and tracking control for a class of discrete-time nonlinear systems. In Zafar-uz-Zaman M, editor, Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 152-156. 7058496. (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015). doi: 10.1109/IBCAST.2015.7058496

Stabilization and tracking control for a class of discrete-time nonlinear systems

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

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