Title :
On the relationship between logarithmic sensitivity integrals and limiting optimal control problems
Author :
Middleton, Rick H. ; Braslavsky, Julio H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
Abstract :
Two seemingly independent streams of control systems research have examined logarithmic sensitivity integrals and limiting linear quadratic optimal control problems. These apparently diverse problems yield some results with an identical right hand side. The main contribution of the paper is to directly explain the commonality between these streams. This explanation involves the use of Parseval´s theorem to, derive tight inequality bounds between frequency domain logarithmic sensitivity integrals, and the achievable quadratic performance of a linear time invariant system
Keywords :
Laplace transforms; integral equations; linear quadratic control; linear systems; sensitivity; transfer functions; Parseval´s theorem; frequency domain logarithmic sensitivity integrals; limiting linear quadratic optimal control problems; linear time invariant system; quadratic performance; tight inequality bounds; Control systems; Cost function; Error correction; Integral equations; Linear feedback control systems; Open loop systems; Optimal control; State feedback; Transfer functions; Velocity control;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914724
