Title :
Rational approximation of L1 optimal controllers for SISO systems
Author :
Ohta, Yoshito ; Maeda, Hajime ; Kodama, Shinzo
Author_Institution :
Osaka Univ., Japan
fDate :
11/1/1992 12:00:00 AM
Abstract :
The L1 optimal control problem with rational controllers for continuous-time systems is considered in which it is shown that the optimal L1 performance index with rational controllers is equal to that of irrational controllers. A sequence of rational controllers that approximates the optimal index is constructed. Convergence properties of such a sequence are studied. That the corresponding sequence of objective transfer functions is shown to converge in weak-* topology in BV(R+) in the time domain and uniformly in a wider sense in the frequency domain
Keywords :
control system analysis; convergence; frequency-domain analysis; optimal control; performance index; time-domain analysis; transfer functions; L1 optimal controllers; SISO systems; continuous-time systems; control system analysis; frequency domain analysis; irrational controllers; objective transfer functions; optimal L1 performance index; rational approximation; rational controllers; time domain analysis; weak-* topology; Algebra; Control systems; Convergence; Convolution; Frequency domain analysis; Optimal control; Performance analysis; Robust control; Topology; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
