Title :
An SOS-QE approach to nonlinear gain analysis
Author :
Ichihara, Hiroyuki ; Anai, Hirokazu
Author_Institution :
Sch. of Sci. & Technol., Meiji Univ., Kawasaki, Japan
Abstract :
A hybrid computational method between sum of squares (SOS) and quantifier elimination (QE) is discussed for a problem of nonlinear gain analysis. A computational procedure is proposed to be applied to nonlinear polynomial systems. The procedure takes two major parts: the first part is searching a structure in the gain functions while the second part reveals all the gain functions in the structure. These tasks are assigned to the SOS and QE approaches, respectively. In order to find an accurate system performance, the gain functions are optimized in the procedure. The proposed analysis procedure is illustrated for a few systems.
Keywords :
nonlinear control systems; optimisation; polynomials; SOS-QE approach; computational procedure; gain function optimization; hybrid computational method; nonlinear gain analysis; nonlinear polynomial system; quantifier elimination method; sum of squares method; Asymptotic stability; Educational institutions; Interconnected systems; Numerical stability; Optimization; Polynomials; Stability analysis;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161036
