Design of Dynamic Output Feedback Laws Based on Sums of Squares of Polynomials
( Nonlinear Systems - Design, Analysis, Estimation and Control )
Publication series ： Nonlinear Systems - Design, Analysis, Estimation and Control
Author： Kenta Hoshino Daisuke Sonoda and Jun Yoneyama
Publisher： IntechOpen
Publication year： 2016
E-ISBN: INT6149464404
P-ISBN(Paperback): 9789535127147
P-ISBN(Hardback): 9789535127154
Subject： O29 applied mathematics
Keyword： 应用数学
Language： ENG
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Design of Dynamic Output Feedback Laws Based on Sums of Squares of Polynomials
Description
We consider the stabilization of nonlinear polynomial systems and the design of dynamic output feedback laws based on the sums of squares (SOSs) decompositions. To design the dynamic output feedback laws, we show the design conditions in terms of the state-dependent linear matrix inequalities (SDLMIs). Because the feasible solutions of the SDLMIs are found by the SOS decomposition, we can obtain the dynamic output feedback laws by using numerical solvers. We show numerical examples of the design of dynamic output feedback laws.
Chapter