Frequency-domain tests for robust control designs

Author(s):  
M. M. Kogan
Author(s):  
Jocelyn Sabatier ◽  
Aitor Garcia Iturricha ◽  
Mathieu Moze ◽  
Alain Oustaloup

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.


2013 ◽  
Vol 23 (1) ◽  
pp. 61-78 ◽  
Author(s):  
Vojtech Veselý ◽  
Jakub Osuský

Abstract In this paper two robust control methods for hybrid system are presented. Both methods are usefull for SISO and MIMO systems. Controller design procedure is developed in frequency domain. Equivalent subsystem method is used for controller design in this paper. Stability condition of proposed methods bases on small gain theory and uses additive and inverse additive model type. Two tank water system is presented in the paper and serves as a numerical example to compare effectiveness of described methods


Author(s):  
Haftay Hailu ◽  
Sean Brennan

Robust control techniques have become more popular in the last decade because of their ability to construct a single controller suitable for a family of plants that are represented as a nominal plant with an uncertainty bounds. A typical challenge with robust control design is that, as the size of the uncertainty block gets bigger, the complexity of the control synthesis and resulting controller exponentially increases. Using a dimensional transformation method, this work shows that some robust control problems can be recast into an equivalent representation with a much smaller size of uncertainty block. This reduction potentially reduces the conservativeness and computational complexity of both H∞/μ – synthesis methods. This method is demonstrated using the 1990 ACC benchmark problem.


2007 ◽  
Vol 56 (5) ◽  
pp. 2893-2901 ◽  
Author(s):  
Bing-Fei Wu ◽  
Hung-I Chin ◽  
Jau-Woei Perng ◽  
Tsu-Tian Lee

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