Title :
Computational aspects of gain-frequency response for sampled-data systems
Author :
Hara, Shinji ; Fujioka, Hisaya ; Khargonekar, Pramod P. ; Yamamoto, Yutaka
Author_Institution :
Dept. of Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan
Abstract :
This paper addresses the computational aspects of the frequency response for sampled-data systems. We first give two types of lower bound formulas. The first is derived via fast sampling of the input functions and the second is derived via the dual system. It is shown that as the fast sampling period approaches zero, these lower bounds converge to the gain. Two different formulas for upper bounds are also obtained. One is based on the information about the closed-loop poles, and another relates the gains of the ℋ2 norm equivalent discrete-time system. We then discuss the bisection search. It is seen that where certain non-degeneracy condition holds, bisection search is possible, some comparisons are made with numerical examples
Keywords :
closed loop systems; discrete time systems; frequency response; matrix algebra; optimisation; poles and zeros; sampled data systems; bisection search; closed-loop poles; discrete-time system; gain-frequency response; lower bound; sampled-data systems; sampling period; upper bounds; Computer science; Control system analysis; Control systems; Eigenvalues and eigenfunctions; Frequency response; Machinery; Military computing; Sampled data systems; Sampling methods; Upper bound;
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.1995.480400
