Title :
Rational approximation of L1 optimal controller for SISO systems
Author :
Ohta, Yoshito ; Maeda, Hajime ; Kodama, Shinzo
Author_Institution :
Osaka Univ., Japan
Abstract :
The authors consider the L1 optimal control problem with rational controllers for SISO (single-input, single-output) continuous-time systems. It is shown that the optimal L1 performance index with rational controllers is equal to that with irrational controllers. A sequence of rational controllers that approximates the optimal index is constructed. Convergence properties of such a sequence are studied. An example is given to illustrate the method
Keywords :
convergence; optimal control; performance index; L1 optimal controller; SISO systems; continuous-time systems; convergence; irrational controllers; optimal L1 performance index; optimal index; rational approximation; rational controllers; Algebra; Control systems; Convergence; Convolution; Feedback loop; H infinity control; Linear programming; Optimal control; Performance analysis; Terminology; Topology; Transfer functions;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261457