Stabilization of chaotic systems using robust optimal controller

Madhulika Das, Vinay Kumar Jadoun

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationIntelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018
EditorsAkhtar Kalam, Khaleequr Rehman Niazi, Amit Soni, Shahbaz Ahmed Siddiqui, Ankit Mundra
PublisherSpringer Paris
Pages795-803
Number of pages9
ISBN (Print)9789811502132
DOIs
Publication statusPublished - 01-01-2020
Event1st International conference on Intelligent Computing Techniques for Smart Energy Systems, ICTSES 2018 - Jaipur, India
Duration: 22-12-201823-12-2018

Publication series

NameLecture Notes in Electrical Engineering
Volume607
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference1st International conference on Intelligent Computing Techniques for Smart Energy Systems, ICTSES 2018
CountryIndia
CityJaipur
Period22-12-1823-12-18

Fingerprint

Chaotic systems
Stabilization
Controllers
Riccati equations
Chaos theory
Nonlinear systems

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

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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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 proceedingConference contribution

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Das M, Jadoun VK. Stabilization of chaotic systems using robust optimal controller. In Kalam A, Niazi KR, Soni A, Siddiqui SA, Mundra A, editors, Intelligent Computing Techniques for Smart Energy Systems - Proceedings of ICTSES 2018. Springer Paris. 2020. p. 795-803. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-981-15-0214-9_84