DocumentCode :
294488
Title :
Rational ℒ1 compensators with ℋ constraints
Author :
Chen, Xin ; Wen, John T.
Author_Institution :
Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
Volume :
1
fYear :
1995
fDate :
13-15 Dec 1995
Firstpage :
809
Abstract :
This paper presents a rational L1 and mixed L 1/ℋ compensator design methodology for continuous time systems. The problem formulation involves finding a finite dimensional stabilizing feedback controller that minimizes the L1 norm of a closed-loop transfer matrix subject to a frequency domain ℋ norm constraint on another closed-loop transfer matrix. It is shown that for a one-block problem the optimal solution can be approximated arbitrarily closely in terms of the closed-loop L1 norm, by solving a sequence of convex optimization problems over linear matrix inequalities. Numerical example is provided to demonstrate the effectiveness of this approach
Keywords :
H control; closed loop systems; compensation; control system synthesis; feedback; frequency-domain synthesis; minimisation; multidimensional systems; stability; transfer function matrices; ℒ1 norm minimization; H constraints; closed-loop transfer matrix; continuous-time systems; convex optimization problems; finite-dimensional stabilizing feedback controller; frequency-domain H norm constraint; linear matrix inequalities; mixed ℒ1/H compensator design; rational ℒ1 compensators; Control systems; Convolution; Energy measurement; Hafnium; Linear feedback control systems; Output feedback; State feedback; State-space methods; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
ISSN :
0191-2216
Print_ISBN :
0-7803-2685-7
Type :
conf
DOI :
10.1109/CDC.1995.479081
Filename :
479081
Link To Document :
بازگشت