TY - JOUR
T1 - Hyperplane design for discrete‐time sliding mode control with event‐trigger strategy and disturbance observer
AU - Wang, Jiepeng
AU - Zhang, Liangyin
AU - Chen, Michael Z.Q.
AU - Gao, Zhiwei
N1 - Research funded by National Natural Science Foundation of China (6187312961903194), Natural Science Foundation of Jiangsu Province (BK20180466)
PY - 2020/5
Y1 - 2020/5
N2 - In this study, a simple hyperplane design method based on the discrete‐time Riccati equation is proposed, and the inter‐relations are investigated for the basic requirement on sliding surface selection, the assumption of stabilisability, the Riccati inequality and the standard Riccati equation. A state and disturbance observer is embedded in discrete‐time sliding mode control (DSMC) to achieve its applicability when only partial system states can be measured. In order to improve the performance of the system in control updating times, a novel event‐triggered DSMC with a state and disturbance observer is proposed. It is shown that the proposed method achieves a quasi sliding mode with a small boundary layer. Simulation examples are presented to show the effectiveness and advantages of the proposed design schemes.
AB - In this study, a simple hyperplane design method based on the discrete‐time Riccati equation is proposed, and the inter‐relations are investigated for the basic requirement on sliding surface selection, the assumption of stabilisability, the Riccati inequality and the standard Riccati equation. A state and disturbance observer is embedded in discrete‐time sliding mode control (DSMC) to achieve its applicability when only partial system states can be measured. In order to improve the performance of the system in control updating times, a novel event‐triggered DSMC with a state and disturbance observer is proposed. It is shown that the proposed method achieves a quasi sliding mode with a small boundary layer. Simulation examples are presented to show the effectiveness and advantages of the proposed design schemes.
KW - observers
KW - stability
KW - Riccati equations
KW - variable structure systems
KW - discrete time systems
KW - control system synthesis
KW - event‐triggered DSMC
KW - disturbance observer
KW - quasisliding mode
KW - discrete‐time sliding mode control
KW - event‐trigger strategy
KW - simple hyperplane design method
KW - discrete‐time Riccati equation
KW - Riccati inequality
KW - standard Riccati equation
KW - partial system states
KW - control updating times
KW - sliding surface selection
KW - state observer
U2 - 10.1049/iet-cta.2019.0509
DO - 10.1049/iet-cta.2019.0509
M3 - Article
SN - 1751-8652
VL - 14
SP - 1003
EP - 1011
JO - IET Control Theory & Applications
JF - IET Control Theory & Applications
IS - 8
ER -