Frequency domain characterization of two time scale sampled data systems

2002 ◽  
Author(s):  
H.M. Oloomi
Keyword(s):  
Frequency Domain ◽  
Time Scale ◽  
Data Systems ◽  
Sampled Data

Stability analysis for complicated sampled-data systems via descriptor remodelling

2018 ◽  
Vol 36 (4) ◽  
pp. 1347-1373 ◽  
Author(s):  
Jun Zhou ◽  
Ketian Gao ◽  
Xinbiao Lu
Keyword(s):  
Stability Analysis ◽  
Frequency Domain ◽  
Continuous Time ◽  
Transfer Functions ◽  
Open Loop ◽  
Spectral Features ◽  
Data Systems ◽  
Sampled Data ◽  
Digital Controllers ◽  
Lifting Technique

AbstractA new stability analysis technique is developed in this paper for complicated sampled-data systems with both analogue and digital controllers, by frequency-domain equivalence in the continuous-time sense and time-delayed descriptor (or singular) state-space realization remodelling. The technique is independent of the lifting technique and thus employs neither structural nor spectral features of any discrete-time transfer functions of continuous-time plants. The suggested criteria are stated with frequency-domain conditions, involving neither open-loop unstable poles nor contour/locus-orientation-related encirclements counting. The criteria are implementable graphically with locus plotting or numerically tractable without locus plotting. The descriptor remodelling advantages are further exploited in surmounting infinite dimensionality and structural/spectral features unavailability in multi-rate and time-delayed sampled-data systems. Numerical examples are included to illustrate the main results.

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