Estimation of nonparametric harmonic transfer functions for linear periodically time-varying systems using periodic excitations

2011 ◽  
Author(s):  
E. Louarroudi ◽  
R. Pintelon ◽  
J. Lataire ◽  
G. Vandersteen
Keyword(s):  
Transfer Functions ◽  
Time Varying ◽  
Time Varying Systems

Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems

2020 ◽  
Vol 42 (16) ◽  
pp. 3281-3289
Author(s):  
Li-Li Sun ◽  
Kang-Li Xu ◽  
Yao-Lin Jiang
Keyword(s):  
Model Order Reduction ◽  
Transfer Functions ◽  
Order Reduction ◽  
Time Varying ◽  
Laguerre Functions ◽  
Model Order ◽  
Reduced Order ◽  
Engineering Problems ◽  
Time Varying Systems ◽  
Order Reduction Method

Many engineering problems can be modelled as linear periodic time-varying (LPTV) systems, which naturally leads to the need for model order reduction of LPTV systems. This paper investigates a new model order reduction method for discrete LPTV systems. First, the state-space realization in the Fourier-lifted form of discrete LPTV system is constructed by representing periodic matrices in exponentially modulated periodic (EMP) Fourier series. By using Laguerre functions to expand the transfer function of the resulting Fourier-lifted system, the corresponding model order reduction algorithm is developed. Furthermore, the proposed algorithm is used to reduce the discrete LPTV system in the standard-lifted form. Theoretical analysis indicates that the transfer functions of both reduced order systems can match a certain number of moments. Finally, two numerical examples are given to verify the effectiveness of the proposed method.

scholarly journals Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Nai-feng Gan ◽  
Yu-feng LU ◽  
Ting Gong
Keyword(s):  
Transfer Functions ◽  
Necessary Conditions ◽  
Time Varying ◽  
Stabilizing Controller ◽  
Infinite Dimensional ◽  
Internal Loop ◽  
Stabilizing Controllers ◽  
Time Varying Systems ◽  
Sufficient And Necessary Conditions ◽  
Well Posed

The concepts of stabilization with internal loop are analyzed for well-posed transfer functions. We obtain some sufficient and necessary conditions such that a stabilizing controller with internal loop stabilizes plant L. We also analyze two special subclasses of stabilizing controllers with internal loop, called canonical and dual canonical controllers, and show that all stabilizing controllers can be parameterized by a doubly coprime factorization of the original transfer function.

Krein Space-based Hθ Fault Estimation for Linear Discrete Time-varying Systems

2009 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space
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