Stabilization of chaotic systems using robust optimal controller

Madhulika Das; Vinay Kumar Jadoun

doi:10.1007/978-981-15-0214-9_84

Stabilization of chaotic systems using robust optimal controller

Madhulika Das^*
, Vinay Kumar Jadoun

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, a robust optimal controller is proposed to stabilize chaotic systems. Chaos is a highly nonlinear system. A small change in parameters shows different characteristics. Robust controller is suitable to stabilize the chaotic system. To minimize the control effort the optimal controller is incorporated with the robust controller. Optimal controller based on state-dependent Riccati equation is designed for known part of the system to minimize the control effort. Whereas robust controller is designed to tackle the uncertain part of the system. The proposed controller is employed to the Lorenz chaotic system. In simulation, the proposed controller is compared with the existing robust controller.

Original language	English
Title of host publication	Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018
Editors	Akhtar Kalam, Khaleequr Rehman Niazi, Amit Soni, Shahbaz Ahmed Siddiqui, Ankit Mundra
Publisher	Springer Paris
Pages	795-803
Number of pages	9
ISBN (Print)	9789811502132
DOIs	https://doi.org/10.1007/978-981-15-0214-9_84
Publication status	Published - 01-01-2020
Event	1st International conference on Intelligent Computing Techniques for Smart Energy Systems, ICTSES 2018 - Jaipur, India Duration: 22-12-2018 → 23-12-2018

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	607
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	1st International conference on Intelligent Computing Techniques for Smart Energy Systems, ICTSES 2018
Country/Territory	India
City	Jaipur
Period	22-12-18 → 23-12-18

All Science Journal Classification (ASJC) codes

Industrial and Manufacturing Engineering

Access to Document

10.1007/978-981-15-0214-9_84

Cite this

Das, M., & Jadoun, V. K. (2020). Stabilization of chaotic systems using robust optimal controller. In A. Kalam, K. R. Niazi, A. Soni, S. A. Siddiqui, & A. Mundra (Eds.), Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018 (pp. 795-803). (Lecture Notes in Electrical Engineering; Vol. 607). Springer Paris. https://doi.org/10.1007/978-981-15-0214-9_84

Das, Madhulika ; Jadoun, Vinay Kumar. / Stabilization of chaotic systems using robust optimal controller. Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018. editor / Akhtar Kalam ; Khaleequr Rehman Niazi ; Amit Soni ; Shahbaz Ahmed Siddiqui ; Ankit Mundra. Springer Paris, 2020. pp. 795-803 (Lecture Notes in Electrical Engineering).

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title = "Stabilization of chaotic systems using robust optimal controller",

abstract = "In this paper, a robust optimal controller is proposed to stabilize chaotic systems. Chaos is a highly nonlinear system. A small change in parameters shows different characteristics. Robust controller is suitable to stabilize the chaotic system. To minimize the control effort the optimal controller is incorporated with the robust controller. Optimal controller based on state-dependent Riccati equation is designed for known part of the system to minimize the control effort. Whereas robust controller is designed to tackle the uncertain part of the system. The proposed controller is employed to the Lorenz chaotic system. In simulation, the proposed controller is compared with the existing robust controller.",

author = "Madhulika Das and Jadoun, \{Vinay Kumar\}",

note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd 2020.; 1st International conference on Intelligent Computing Techniques for Smart Energy Systems, ICTSES 2018 ; Conference date: 22-12-2018 Through 23-12-2018",

year = "2020",

month = jan,

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doi = "10.1007/978-981-15-0214-9\_84",

language = "English",

isbn = "9789811502132",

series = "Lecture Notes in Electrical Engineering",

publisher = "Springer Paris",

pages = "795--803",

editor = "Akhtar Kalam and Niazi, \{Khaleequr Rehman\} and Amit Soni and Siddiqui, \{Shahbaz Ahmed\} and Ankit Mundra",

booktitle = "Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018",

address = "France",

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Das, M & Jadoun, VK 2020, Stabilization of chaotic systems using robust optimal controller. in A Kalam, KR Niazi, A Soni, SA Siddiqui & A Mundra (eds), Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018. Lecture Notes in Electrical Engineering, vol. 607, Springer Paris, pp. 795-803, 1st International conference on Intelligent Computing Techniques for Smart Energy Systems, ICTSES 2018, Jaipur, India, 22-12-18. https://doi.org/10.1007/978-981-15-0214-9_84

Stabilization of chaotic systems using robust optimal controller. / Das, Madhulika; Jadoun, Vinay Kumar.
Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018. ed. / Akhtar Kalam; Khaleequr Rehman Niazi; Amit Soni; Shahbaz Ahmed Siddiqui; Ankit Mundra. Springer Paris, 2020. p. 795-803 (Lecture Notes in Electrical Engineering; Vol. 607).

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

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N1 - Publisher Copyright: © Springer Nature Singapore Pte Ltd 2020.

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Y1 - 2020/1/1

N2 - In this paper, a robust optimal controller is proposed to stabilize chaotic systems. Chaos is a highly nonlinear system. A small change in parameters shows different characteristics. Robust controller is suitable to stabilize the chaotic system. To minimize the control effort the optimal controller is incorporated with the robust controller. Optimal controller based on state-dependent Riccati equation is designed for known part of the system to minimize the control effort. Whereas robust controller is designed to tackle the uncertain part of the system. The proposed controller is employed to the Lorenz chaotic system. In simulation, the proposed controller is compared with the existing robust controller.

AB - In this paper, a robust optimal controller is proposed to stabilize chaotic systems. Chaos is a highly nonlinear system. A small change in parameters shows different characteristics. Robust controller is suitable to stabilize the chaotic system. To minimize the control effort the optimal controller is incorporated with the robust controller. Optimal controller based on state-dependent Riccati equation is designed for known part of the system to minimize the control effort. Whereas robust controller is designed to tackle the uncertain part of the system. The proposed controller is employed to the Lorenz chaotic system. In simulation, the proposed controller is compared with the existing robust controller.

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ER -

Stabilization of chaotic systems using robust optimal controller

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