NDLI: On the estimation of the domain of attraction for saturated systems via partitioning of the input space

Content Provider	IEEE Xplore Digital Library
Author	Yuanlong Li Zongli Lin
Copyright Year	2014
Description	Author affiliation: Charles L. Brown Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA (Zongli Lin) \|\| Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai, China (Yuanlong Li)
Abstract	This paper revisits the problem of estimating the domain of attraction for systems with saturation nonlinearities. We divide the input space into several regions. In one of these regions, none of the inputs saturate. In each of the remaining regions, there is a unique input that saturates everywhere with the time-derivative of its saturated signal being zero. These special properties of the inputs in different regions of the input space are combined with an existing piecewise quadratic Lyapunov functions that contains the information of input saturation to arrive at a set of less conservative stability conditions, from which a larger level set of the piecewise quadratic Lyapunov function can be obtained as an estimate of the domain of attraction. Simulation results indicate that the proposed approach has the ability to obtain a significantly larger estimate of the domain of attraction than the existing methods.
Starting Page	2481
Ending Page	2486
File Size	175800
Page Count	6
File Format	PDF
ISBN	9789881563873
ISSN	19341768
DOI	10.1109/ChiCC.2014.6897024
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	TCCT, CAA
Subject Keyword	constrained control Level set Estimation stability analysis Stability analysis piecewise quadratic Lyapunov functions Linear matrix inequalities Optimization Actuator saturation input saturation Trajectory domain of attraction Lyapunov methods
Content Type	Text
Resource Type	Article

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