Title :
Numerical solution to ℋ∞ control of multi-delayed systems via operator approach
Author :
Barabanov, Andrey E. ; Ghulchak, Andrey
Author_Institution :
St. Petersburg Univ., Russia
Abstract :
A computational algorithm for the full information ℋ∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example
Keywords :
Fourier transforms; H∞ control; algebra; closed loop systems; delay systems; linear systems; multidimensional systems; stability; infinite-dimensional plants; multi-delayed LTI systems; operator approach; spectral domain; spectral operations; Automatic control; Closed loop systems; Control systems; Delay effects; Delay systems; Equations; Fourier transforms; Linear systems; Polynomials; Trajectory;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914562
