Robust stabilization of uncertain 2-D discrete-time delayed systems using sliding mode control |
| |
| Authors: | Imran Ghous Zhaoxia Duan Jahanzeb Akhtar Muhammad Jawad |
| |
| Institution: | 1. Department of Electrical and Computer Engineering, COMSATS University Islamabad (Lahore Campus), Lahore 54000, Pakistan;2. College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, People’s Republic of China |
| |
| Abstract: | This paper aims to solve the problem of sliding mode control for an uncertain two-dimensional (2-D) systems with states having time-varying delays. The uncertainties in the system dynamics are constituted of mismatched uncertain parameters and the unknown nonlinear bounded function. The proposed problem utilizes the model transformation approach. By segregating the proper Lyapunov–Krasovskii functional in concert with the improved version of Wirtinger-based summation inequality, sufficient solvability conditions for the existence of linear switching surfaces have been put forward, which ensure the asymptotical stability of the reduced-order equivalent sliding mode dynamics. Then, we solve the controller synthesis problem by extending the recently proposed reaching law to 2-D systems, whose proportional part is appropriately scaled by the factor that does not depend on some constant terms but rather on current switching surface’s value, which in turn ensures the faster convergence and better robustness against uncertainties. Finally, the proposed results have been validated through an implementation to a suitable physical system. |
| |
| Keywords: | Corresponding author |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
