TY - JOUR
T1 - Stability Region Estimates for SDRE Controlled Systems Using Sum of Squares Optimization
AU - Seiler, Pete
PY - 2003
Y1 - 2003
N2 - In this paper, we investigate the State-Dependent Riccati Equation method to control nonlinear systems. This method stabilizes the closed loop system around the origin. However, global asymptotic stability is not ensured. Moreover, stability analysis is complicated because the closed loop system is typically not known in a closed form. We present a theorem that turns stability region estimation into a functional search problem. Results on sum of squares polynomials are used to turn this search into a semidefinite programming problem. A simple example demonstrating this method is given.
AB - In this paper, we investigate the State-Dependent Riccati Equation method to control nonlinear systems. This method stabilizes the closed loop system around the origin. However, global asymptotic stability is not ensured. Moreover, stability analysis is complicated because the closed loop system is typically not known in a closed form. We present a theorem that turns stability region estimation into a functional search problem. Results on sum of squares polynomials are used to turn this search into a semidefinite programming problem. A simple example demonstrating this method is given.
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M3 - Conference article
AN - SCOPUS:0142215889
SN - 0743-1619
VL - 3
SP - 1867
EP - 1872
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
T2 - 2003 American Control Conference
Y2 - 4 June 2003 through 6 June 2003
ER -