Estimating and enlarging the region of attraction of multi-equilibrium points system by state-dependent edge impulses
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DOI: 10.1007/s11071-021-06259-9
Abstract: When an isolated equilibrium of a nonlinear system is locally attractive, it might be difficult to estimate and then enlarge its Region of Attraction (RA). To solve this problem, this paper, by means of impulsive… read more here.
Keywords: system; state dependent; dependent edge; region attraction ... See more keywords
Spatio-Temporal Decomposition of Sum-of-Squares Programs for the Region of Attraction and Reachability
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DOI: 10.1109/lcsys.2021.3086585
Abstract: This letter presents a method for calculating Region of Attraction of a target set (not necessarily an equilibrium) for controlled polynomial dynamical systems, using a hierarchy of semidefinite programming problems (SDPs). Our approach builds on… read more here.
Keywords: region attraction; temporal decomposition; spatio temporal; decomposition sum ... See more keywords
Optimization-Based Safe Stabilizing Feedback With Guaranteed Region of Attraction
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DOI: 10.1109/lcsys.2022.3188934.
Abstract: This letter proposes an optimization with penalty-based feedback design framework for safe stabilization of control affine systems. Our starting point is the availability of a control Lyapunov function (CLF) and a control barrier function (CBF)… read more here.
Keywords: feedback; region attraction; control; optimization ... See more keywords
Region of Attraction Estimation for DC Microgrids With Constant Power Loads Using Potential Theory
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DOI: 10.1109/tsg.2021.3081573
Abstract: The stability issues of DC power grids are attracting researchers’ attention, especially with the increasing adoption of power electronic devices and nonlinear loads. Large-signal stability analysis is required to detect and avoid large disturbance and… read more here.
Keywords: potential theory; power; power grids; region attraction ... See more keywords