Title
Sampled Describing Function Analysis Of Second Order Sliding Modes
Abstract
The describing function method is applied to characterize the steady state behavior of the linear sampled data systems stabilized by a second-order sliding mode algorithm. A describing function of the nonlinearity including a sample and hold element is derived. The proposed method allows to predict the amplitude, frequency and phase of occurring limit cycles caused by the discrete time implementation of discontinuous control algorithms. It is shown that the derived describing function is closely related to its classical continuous time counterpart. The proposed approach is demonstrated using a numerical simulation example as well as a real world experiment.
Year
Venue
Field
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Mathematical optimization,Oscillation,Describing function,Nonlinear system,Computer simulation,Control theory,Fourier series,Discrete time and continuous time,Steady state,Amplitude,Mathematics
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Stefan Koch1172.55
Markus Reichhartinger26113.35
Martin Horn34824.11
Leonid M. Fridman41999211.93