Title :
Characterization of Easily Controllable Plants Based on the Finite Frequency Phase/Gain Property: A Magic Number 4+22 in H Loop Shaping Design
Author :
Kanno, Masaaki ; Hara, Shinji ; Onishi, Masahiko
Author_Institution :
Japan Sci. & Technol. Agency, Kawaguchi
Abstract :
This paper introduces a phase/gain condition for (marginally) stable systems for characterization of easily controllable systems, and investigates the relationship between the condition and the optimal performance gammaopt in Hinfin loop shaping design. More specifically it is shown that there is a close relationship between the condition and a magic number radic(4+2(radic2)), for both continuous-time and discrete-time systems. Furthermore a simple design procedure for robust control based on the obtained knowledge is proposed.
Keywords :
Hinfin control; continuous time systems; discrete time systems; Hscr^infin loop shaping design; continuous-time systems; controllable plants; discrete-time systems; finite frequency phase/gain property; magic number; robust control; Cities and towns; Control systems; Eigenvalues and eigenfunctions; Frequency; Mechanical factors; Optimal control; Optimized production technology; Performance gain; Robust control; Shape control;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282572