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Inverse Optimal Control in State Derivative Space System with Applications in Motor Control

Author

Listed:
  • Feng-Chi Lee

    (Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei City 10608, Taiwan)

  • Yuan-Wei Tseng

    (Department of Electrical Engineering, I-Shou University, Kaohsiung City 840, Taiwan)

  • Rong-Ching Wu

    (Department of Electrical Engineering, I-Shou University, Kaohsiung City 840, Taiwan)

  • Wen-Chuan Chen

    (Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei City 10608, Taiwan)

  • Chin-Sheng Chen

    (Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei City 10608, Taiwan)

Abstract

This paper mathematically explains how state derivative space (SDS) system form with state derivative related feedback can supplement standard state space system with state related feedback in control designs. Practically, inverse optimal control is attractive because it can construct a stable closed-loop system while optimal control may not have exact solution. Unlike the previous algorithms which mainly applied state feedback, in this paper inverse optimal control are carried out utilizing state derivative alone in SDS system. The effectiveness of proposed algorithms are verified by design examples of DC motor tracking control without tachometer and very challenging control problem of singular system with impulse mode. Feedback of direct measurement of state derivatives without integrations can simplify implementation and reduce cost. In addition, the proposed design methods in SDS system with state derivative feedback are analogous to those in state space system with state feedback. Furthermore, with state derivative feedback control in SDS system, wider range of problems such as singular system control can be handled effectively. These are main advantages of carrying out control designs in SDS system.

Suggested Citation

  • Feng-Chi Lee & Yuan-Wei Tseng & Rong-Ching Wu & Wen-Chuan Chen & Chin-Sheng Chen, 2021. "Inverse Optimal Control in State Derivative Space System with Applications in Motor Control," Energies, MDPI, vol. 14(6), pages 1-27, March.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:6:p:1775-:d:522639
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    References listed on IDEAS

    as
    1. Yuan-Wei Tseng & Yu-Ning Wang, 2013. "Sliding Mode Control with State Derivative Output Feedback in Reciprocal State Space Form," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, November.
    2. Yuan-Wei Tseng & Jer-Guang Hsieh, 2013. "Optimal Control for a Family of Systems in Novel State Derivative Space Form with Experiment in a Double Inverted Pendulum System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
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    Cited by:

    1. Tian-Hua Liu, 2021. "Design and Control of Electrical Motor Drives," Energies, MDPI, vol. 14(22), pages 1-3, November.

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