An Adaptive Sliding Mode Control for Single Machine Infinite Bus System under Unknown Uncertainties
Open Access
- 7 July 2021
- journal article
- Published by ASCEE Publications in International Journal of Robotics and Control Systems
- Vol. 1 (3), 226-243
- https://doi.org/10.31763/ijrcs.v1i3.351
Abstract
The inherent uncertainties in a Single Machine Infinite Bus System (SMIBS) are governed by unmodeled dynamics or large disturbances such as the system's faults. The existence of these uncertainties demands robust controllers to guarantee the system's asymptotic stability under such exacting conditions. In this work, we propose an Adaptive Sliding Mode Control (ASMC) design implemented on a fifth-order nonlinear SMIBS to handle those uncertainties without prior knowledge about its upper bounds. We develop the ASMC with gains of two nested adaptive layers to asymptotically stabilize the system's internal states, the machine's terminal voltage, and power angle within a region of unknown bounded uncertainties while mitigating the chattering phenomena associated with conventional Sliding Mode Control (SMC). To verify the design's effectiveness and prove the conducted Lyapunov theoretical stability analysis, we simulate the occurrence of a large disturbance represented by a 3-phase fault at the system's universal bus. The results show that the ASMC can successfully achieve asymptotic stable output errors and stabilizing the SMIBS internal states after the clearance of the fault. Moreover, the ASMC noticeably outperforms the SMC in chattering mitigation, where the ASMC's signal is significantly smoother than that of the SMC.Keywords
This publication has 23 references indexed in Scilit:
- Adaptive continuous higher order sliding mode controlAutomatica, 2016
- Implementation of Super-Twisting Control: Super-Twisting and Higher Order Sliding-Mode Observer-Based ApproachesIEEE Transactions on Industrial Electronics, 2016
- An improved Virtual Synchronous Generator algorithm for system stability enhancementPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2015
- Sliding Mode Control for the Synchronous GeneratorISRN Applied Mathematics, 2014
- Adaptive sliding mode control with application to super-twist algorithm: Equivalent control methodAutomatica, 2013
- Power System StabilityElectric Power Engineering Series, 2012
- A Nonlinear Model for Studying Synchronous Machine Dynamic Behavior in Phase CoordinatesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2006
- Higher-order sliding modes, differentiation and output-feedback controlInternational Journal of Control, 2003
- Multi-input multi-output feedback linearization of a synchronous generatorPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- On the development of discontinuous observersInternational Journal of Control, 1994