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

Feng-Chi Lee, Yuan-Wei Tseng, Rong-Ching Wu, Wen-Chuan Chen and Chin-Sheng Chen
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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

Energies, 2021, vol. 14, issue 6, 1-27

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.

Keywords: inverse optimal control; state derivative space (SDS) system; state derivative feedback; DC motor control; singular system; nonlinear control (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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