scholarly journals Simple adaptive and robust control for a class of time-varying systems§§This work was partially financially supported by Government of Russian Federation (Grant 074-U01) and the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031)

2015 ◽  
Vol 48 (11) ◽  
pp. 511-516
Author(s):  
Dmitry N. Gerasimov ◽  
Maria V. Lyzlova ◽  
Vladimir O. Nikiforov
Keyword(s):  
Robust Control ◽  
Russian Federation ◽  
Time Varying ◽  
Ministry Of Education ◽  
Time Varying Systems

Discrete-Time Robust Control of Linear Periodically Time-Varying Systems

2007 ◽  
Author(s):  
S. Kalender ◽  
H. Flashner
Keyword(s):  
Robust Control ◽  
Discrete Time ◽  
Robustness Analysis ◽  
Value Theory ◽  
Time Varying ◽  
Sampled Data ◽  
Point Mapping ◽  
Time Dynamic ◽  
Time Representation ◽  
Time Varying Systems

An approach for robust control of periodically time-varying systems is proposed. The approach combines the point-mapping formulation and a parameterization of the control vector to formulate an equivalent time-invariant discrete-time representation of the system. The discrete-time representation of the dynamic system allows for the application of known sampled-data control design methodologies. A perturbed, discrete-time dynamic model is formulated and plant parametric uncertainty are obtained using a truncated point-mapping algorithm. The error bounds due to point-mapping approximation are computed and a robustness analysis problem of the system due to parametric uncertainties is formulated using structured singular value theory. The proposed approach is illustrated by two design examples. Simulation studies show good performance robustness of the control system to parameter perturbations and system nonlinearities.

Application of CRONE Control to a Sampled Time Varying System With Periodic Coefficients

2008 ◽  
Vol 130 (6) ◽  
Author(s):  
Jocelyn Sabatier ◽  
Aitor Garcia Iturricha ◽  
Mathieu Moze ◽  
Alain Oustaloup
Keyword(s):  
Robust Control ◽  
Frequency Domain ◽  
Discrete Time ◽  
Time Varying ◽  
Periodic Coefficients ◽  
Crone Control ◽  
Time Varying Systems

An application of CRONE robust control extended to discrete-time-varying systems with periodic coefficients is presented. The application is carried out in the frequency domain through the representation of considered systems using time varying z-transforms and time varying pseudofrequency responses.

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