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

Content Provider	IET Digital Library
Author	Mishra, Jyoti Patel, Ragini Yu, Xinghuo Jalili, Mahdi
Abstract	In this study, 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 is formulated for single-input-single–output 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 the authors' knowledge, no such structure is proposed yet for AGC. The results are also compared with the traditional proportional–integral controller.
Starting Page	2595
Ending Page	2604
Page Count	10
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 18, Dec (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/18
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5614
Journal	IET Control Theory & Applications
Publisher Date	2018-10-15
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximate Convergence Time Arbitrary-order System Automatic Generation Control Control of Electric Power System Control Structure Control System Analysis Control System Synthesis Controller Design Methodology Fixed-time Convergence Fixed-time Recursive Surface Structure Design Lyapunov Method Multiarea Interconnected Power System Multivariable Control System Nonlinear Control System PI Control Power Generation Control Power System Control Power System Economics Power System Interconnection Power System Managemen Power System Operation Power System Stability Reaching Phase Robust Control Single-input-single-output Nonlinear Dynamical System Sliding Mode Control Stability in Control Theory Synthesis Method Third-order Dynamic System Variable Structure System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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