Title: Optimal design of two-degree-of-freedom control scheme for non-minimum phase processes with time delay

Authors: Wei Zhang; Lingyue Xia

Addresses: Shanghai Key Lab of Modern Optical System, and Engineering Research Center of Optical Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai 200093, China ' Shanghai Key Lab of Modern Optical System, and Engineering Research Center of Optical Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai 200093, China

Abstract: This paper proposes an analytical two-degree-of-freedom (TDOF) control scheme for non-minimum phases systems with time delay, which leads to remarkable improvement of regulator capacity for both of reference input tracking and input load disturbance rejection. All controllers that make the closed-loop system internally stable and have no steady-error have been employed firstly. Then, the set-point tracking controller and the disturbance rejection controller are analytically derived in terms of the integral squared error performance specifications. The nominal set-point response is decoupled from the load disturbance response in the adopted TDOF control scheme. In consequence, both of the set-point tracking performance and load disturbance rejection performance can be optimised simultaneously and separately. Finally, an illustrative example is included to demonstrate the superiority of the proposed method.

Keywords: TDOF; two-degree-of-freedom; TDOF control; optimal control; analytical design; NMP; non-minimum phase; load disturbance rejection.

DOI: 10.1504/IJSCIP.2017.084263

International Journal of System Control and Information Processing, 2017 Vol.2 No.1, pp.59 - 73

Received: 23 Sep 2016
Accepted: 07 Mar 2017
Published online: 22 May 2017 *

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