TY - JOUR
T1 - An Improved Equivalent-Input-Disturbance Approach for Repetitive Control System With State Delay and Disturbance
AU - Yu, Pan
AU - Wu, Min
AU - She, Jinhua
AU - Liu, Kang Zhi
AU - Nakanishi, Yosuke
N1 - Funding Information:
Manuscript received February 8, 2017; revised May 3, 2017; accepted May 21, 2017. Date of publication June 16, 2017; date of current version November 16, 2017. This work was supported in part by the National Natural Science Foundation of China under Grant 61210011 and Grant 61473313, in part by the Hubei Provincial Natural Science Foundation of China under Grant 2015CFA010, and in part by the 111 Project under Grant B17040. (Corresponding author: Min Wu.) P. Yu is with the School of Information Science and Engineering, Central South University, Changsha 410083, China, and also with Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China (e-mail: 1545906230@qq.com).
Publisher Copyright:
© 2017 IEEE.
PY - 2018/1
Y1 - 2018/1
N2 - An improved equivalent-input-disturbance (EID) approach is devised to enhance the disturbance-rejection performance for a strictly proper plant with a state delay in a modified repetitive-control system. A gain factor is introduced to construct an improved EID estimator. This increases the flexibility of system design and enables the adjustment of the dynamical performance of disturbance rejection. Moreover, the commutative condition, which is widely used for the conventional EID estimator, is avoided. Thus, it reduces the conservativeness of design by removing the constraints imposed by the commutative condition. The system is divided into two subsystems, and the separation theorem is applied to simplify the design. For one subsystem, the delay information on both the modified repetitive controller and the plant is used to reduce the conservativeness of stability condition. The resulting linear matrix inequality (LMI) is used to find the gain of the state-feedback controller. Another LMI is derived to design the gains of the state observer and the improved EID estimator for the other subsystem. A case study on a metal-cutting system validates the superiority of the developed method.
AB - An improved equivalent-input-disturbance (EID) approach is devised to enhance the disturbance-rejection performance for a strictly proper plant with a state delay in a modified repetitive-control system. A gain factor is introduced to construct an improved EID estimator. This increases the flexibility of system design and enables the adjustment of the dynamical performance of disturbance rejection. Moreover, the commutative condition, which is widely used for the conventional EID estimator, is avoided. Thus, it reduces the conservativeness of design by removing the constraints imposed by the commutative condition. The system is divided into two subsystems, and the separation theorem is applied to simplify the design. For one subsystem, the delay information on both the modified repetitive controller and the plant is used to reduce the conservativeness of stability condition. The resulting linear matrix inequality (LMI) is used to find the gain of the state-feedback controller. Another LMI is derived to design the gains of the state observer and the improved EID estimator for the other subsystem. A case study on a metal-cutting system validates the superiority of the developed method.
KW - Disturbance estimation
KW - equivalent input disturbance (EID)
KW - integral inequality
KW - linear matrix inequality (LMI)
KW - modified repetitive control
KW - state delay
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U2 - 10.1109/TIE.2017.2716906
DO - 10.1109/TIE.2017.2716906
M3 - Article
AN - SCOPUS:85023196335
SN - 0278-0046
VL - 65
SP - 521
EP - 531
JO - IEEE Transactions on Industrial Electronics
JF - IEEE Transactions on Industrial Electronics
IS - 1
M1 - 7951036
ER -