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Intelligent Control and Innovative Computing pp 53–64Cite as

Approximate Linear Quadratic Regulator Problem and Its Application to Optimal Control in Discrete-Time LTI Systems

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 110))

Abstract

It is considered to approximately solve an linear quadratic (LQ) regulator problem in the case of discrete-time LTI systems. It leaves parameters as symbols in the evaluation function. The notion of the approximate LQ regulator problem is introduced. Also a computation method to solve the problem is proposed. A numerical example of the approximate LQ regulator problem is also presented, which is applied to an inverted pendulum on a cart.

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Author information

Authors and Affiliations

  1. School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu, 965-8580, Japan

    Kazuyoshi Mori

Authors
  1. Kazuyoshi Mori
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Correspondence to Kazuyoshi Mori .

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Editors and Affiliations

  1. International Association of Engineers, Hung To Road, Unit 1, 1/F, 37-39, Hong Kong, China

    Sio Iong Ao

  2. Computer Science, Tijuana Institute of Technology, Chula Vista, 91909, California, USA

    Oscar Castillo

  3. , Faculty of Information Sciences & Eng., University of Canberra, Canberra, 2601, Aust Capital Terr, Australia

    Xu Huang

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Mori, K. (2012). Approximate Linear Quadratic Regulator Problem and Its Application to Optimal Control in Discrete-Time LTI Systems. In: Ao, S., Castillo, O., Huang, X. (eds) Intelligent Control and Innovative Computing. Lecture Notes in Electrical Engineering, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1695-1_5

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  • DOI: https://doi.org/10.1007/978-1-4614-1695-1_5

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1694-4

  • Online ISBN: 978-1-4614-1695-1

  • eBook Packages: EngineeringEngineering (R0)

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