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
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479081