TY - JOUR
T1 - Input-constrained chaos synchronization of horizontal platform systems via a model predictive controller
AU - Wang, Xinwei
AU - Liu, Jie
AU - Peng, Haijun
AU - Gao, Lingchong
AU - Fottner, Johannes
AU - Liu, Pengliang
N1 - Publisher Copyright:
© IMechE 2020.
PY - 2021/10
Y1 - 2021/10
N2 - Horizontal platform systems are mechanical systems that can exhibit both periodic and chaotic behaviour. Various control techniques have been developed to solve their chaos synchronization. However, the avoidance of control saturation is rarely considered in existing control techniques. In this paper, a model predictive controller is developed to address the input-constrained chaos synchronization of horizontal platform systems. To meet the requirements of computational efficiency, the highly efficient symplectic pseudospectral method is taken as the core solver of the model predictive controller. Two methods to impose the terminal boundary condition are considered. And two indices, i.e., the approximate synchronization time and the synchronization-consumed energy, are proposed to evaluate the synchronization performance. Numerical simulations demonstrate that the developed model predictive controller can achieve faster synchronization while owns better robustness under various kinds of external disturbances when compared to several feedback controllers.
AB - Horizontal platform systems are mechanical systems that can exhibit both periodic and chaotic behaviour. Various control techniques have been developed to solve their chaos synchronization. However, the avoidance of control saturation is rarely considered in existing control techniques. In this paper, a model predictive controller is developed to address the input-constrained chaos synchronization of horizontal platform systems. To meet the requirements of computational efficiency, the highly efficient symplectic pseudospectral method is taken as the core solver of the model predictive controller. Two methods to impose the terminal boundary condition are considered. And two indices, i.e., the approximate synchronization time and the synchronization-consumed energy, are proposed to evaluate the synchronization performance. Numerical simulations demonstrate that the developed model predictive controller can achieve faster synchronization while owns better robustness under various kinds of external disturbances when compared to several feedback controllers.
KW - Horizontal platform system
KW - approximated synchronization time
KW - chaos synchronization
KW - model predictive control
KW - symplectic pseudospectral method
KW - synchronization-consumed energy
UR - http://www.scopus.com/inward/record.url?scp=85097497114&partnerID=8YFLogxK
U2 - 10.1177/0954406220979005
DO - 10.1177/0954406220979005
M3 - Article
AN - SCOPUS:85097497114
SN - 0954-4062
VL - 235
SP - 4862
EP - 4872
JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
IS - 20
ER -