A cutting plane algorithm for robustness analysis of periodically time varying systems

1999 ◽  
Keyword(s):  
Robustness Analysis ◽  
Cutting Plane ◽  
Cutting Plane Algorithm ◽  
Time Varying ◽  
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.

scholarly journals Homogeneous Time-Varying Systems: Robustness Analysis

2016 ◽  
Vol 61 (12) ◽  
pp. 4075-4080 ◽  
Author(s):  
H. Rios ◽  
D. Efimov ◽  
A. Polyakov ◽  
W. Perruquetti
Keyword(s):  
Robustness Analysis ◽  
Time Varying ◽  
Time Varying Systems
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