Title :
Some conditions for monotone nondecreasing step response with the fastest rise time
Author :
Kwon, Byung-Moon ; Ryu, Hee-Seob ; Kwon, Oh-Kyu
Author_Institution :
Sch. of Electr. & Comput. Eng., Inha Univ., Incheon, South Korea
Abstract :
This paper investigates some conditions which guarantee the fastest rise and settling time in the step response of LTI (linear time-invariant) systems. As one of the main results, it shows that any LTI stable system having the relative degree 1 and the smallest absolute value of zeros´ production has the fastest step response among those systems with the same positive DC gain and the same poles. Also, it is shown that the result which is proposed is the same as the cheap control in the LQ (linear quadratic) problem for SISO (single-input, single-output) systems
Keywords :
continuous time systems; linear quadratic control; linear systems; poles and zeros; stability; step response; LQ control; LTI systems; SISO systems; linear quadratic control; linear time-invariant systems; monotone nondecreasing step response; poles; positive DC gain; rise time; settling time; single-input single-output systems; stable system; zeros; Computer simulation; Control systems; Displays; Joining processes; Linear systems; Marine vehicles; Poles and zeros; Production systems; Weight control;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945604
