On the Estimation of the Domain of Attraction for Saturated Systems via Partitioning of the Input Space
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.
Actuator saturation constrained control domain of attraction input saturation piecewise quadratic Lyapunov functions stability analysis
Yuanlong Li Zongli Lin
Department of Automation,and Key Laboratory of System Control and Information Processing of the Mini Charles L. Brown Department of Electrical and Computer Engineering,University of Virginia,P.O. Box 4
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
2481-2486
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）