Title :
A symbolic-numeric approach to nonlinear gain analysis of a class of dynamical systems
Author :
Ichihara, Hiroyuki ; Anai, Hirokazu
Author_Institution :
Dept. of Mech. Eng. Inf., Meiji Univ., Kawasaki, Japan
Abstract :
It is an important task to obtain a nonlinear gain function of dynamical systems by computational methods. A numerical approach, sum of squares (SOS), has been proposed so far, but there is no clue to find a minimum one. In this paper, a procedure is proposed to analyze nonlinear gain functions of a class of dynamical systems by combination use of symbolic and numeric methods. The role of SOS is to search for a structure of a gain function quickly and then quantifier elimination (QE) covers all possible functions in the structure to find a minimum function. An illustrative example shows the effectiveness of the proposed analysis procedure.
Keywords :
control system synthesis; nonlinear dynamical systems; numerical analysis; polynomials; dynamical systems; nonlinear gain analysis; quantifier elimination; sum of squares; symbolic-numeric approach; Asymptotic stability; Linear systems; Nonlinear systems; Numerical stability; Optimization; Polynomials; Stability analysis;
Conference_Titel :
Computer-Aided Control System Design (CACSD), 2010 IEEE International Symposium on
Conference_Location :
Yokohama
Print_ISBN :
978-1-4244-5354-2
Electronic_ISBN :
978-1-4244-5355-9
DOI :
10.1109/CACSD.2010.5612685
