TY - JOUR
T1 - Discrete-Time Quasi-Sliding-Mode Control with Prescribed Performance Function and its Application to Piezo-Actuated Positioning Systems
AU - Nguyen, Manh Linh
AU - Chen, Xinkai
AU - Yang, Fan
N1 - Funding Information:
Manuscript received October 31, 2016; revised February 24, 2017; accepted April 30, 2017. Date of publication May 25, 2017; date of current version November 16, 2017. This work was supported in part by Grants-in-Aid for Scientific Research of the Japan Society for the Promotion of Science (JSPS) (C-15K06152 and 14032011-000073).
Publisher Copyright:
© 2017 IEEE.
PY - 2018/1
Y1 - 2018/1
N2 - In this paper, the constrained control problem of the prescribed performance control technique is discussed in discrete-time domain for single input-single output dynamical systems. The goal of this design is to maintain the tracking error trajectory in a predefined convergence zone described by a performance function in the presence of the uncertainties. In order to achieve this goal, the discrete-time quasi-sliding-mode control with a new sliding variable is proposed. Additionally, by using a modified convergence zone, the transient response of the system can be adjusted without producing the offset error in the steady state. The effectiveness of the proposed method is confirmed by experiments on a piezo-actuated positioning system.
AB - In this paper, the constrained control problem of the prescribed performance control technique is discussed in discrete-time domain for single input-single output dynamical systems. The goal of this design is to maintain the tracking error trajectory in a predefined convergence zone described by a performance function in the presence of the uncertainties. In order to achieve this goal, the discrete-time quasi-sliding-mode control with a new sliding variable is proposed. Additionally, by using a modified convergence zone, the transient response of the system can be adjusted without producing the offset error in the steady state. The effectiveness of the proposed method is confirmed by experiments on a piezo-actuated positioning system.
KW - PID controller
KW - Piezo-actuated positioning system
KW - Prescribed performance control (PPC)
KW - Sliding-mode control (SMC)
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U2 - 10.1109/TIE.2017.2708024
DO - 10.1109/TIE.2017.2708024
M3 - Article
AN - SCOPUS:85040669112
SN - 0278-0046
VL - 65
SP - 942
EP - 950
JO - IEEE Transactions on Industrial Electronics
JF - IEEE Transactions on Industrial Electronics
IS - 1
M1 - 7933933
ER -