Recursive surface structure for fixed-time convergence with applications to power systems

Mishra, J, Patel, R, Yu, X and Jalili, M 2018, 'Recursive surface structure for fixed-time convergence with applications to power systems', IET Control Theory and Applications, vol. 12, no. 18, pp. 2595-2604.

Document type: Journal Article
Collection: Journal Articles

Title Recursive surface structure for fixed-time convergence with applications to power systems
Author(s) Mishra, J
Patel, R
Yu, X
Jalili, M
Year 2018
Journal name IET Control Theory and Applications
Volume number 12
Issue number 18
Start page 2595
End page 2604
Total pages 10
Publisher Institution of Engineering and Technology
Abstract In this paper, a novel idea is proposed for fixed-time recursive surface structure design for arbitrary-order system. The stability of controller design methodology is verified by using Lyapunov analysis. The primary benefit behind formulating the proposed surface structure is in achieving fixed-time convergence during sliding. Moreover, the control structure is designed to get fixed-time convergence during reaching as well. The approximate convergence time has been calculated mathematically and is verified using simulations. The Sliding Mode Control (SMC) is formulated for Single-Input-Single-Output (SISO) non-linear dynamical systems. The proposed control scheme is robust and the singularity is avoided. The conditions to ensure stability during reaching phase are derived and are shown to depend only on the design of surface parameters. The detailed simulation results of a general third-order dynamic system show the efficacy of the proposed scheme. Finally, the proposed method is implemented for Automatic Generation Control (AGC) of a multi-area interconnected power system while considering the non-linearity in the dynamic system. For the first time, fixed-time convergence is assured for AGC. To the best of our knowledge, no such structure is proposed yet for AGC. The results are also compared with the traditional PI controller.
Subject Control Systems, Robotics and Automation
Keyword(s) Sliding Mode Control
Nonlinear Systems
Stability Analysis
Lyapunov Method
DOI - identifier 10.1049/iet-cta.2018.5614
Copyright notice © The Institution of Engineering and Technology 2018
ISSN 1751-8644
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