TY - JOUR

T1 - Stability Region Estimates for SDRE Controlled Systems Using Sum of Squares Optimization

AU - Seiler, Pete

PY - 2003/11/6

Y1 - 2003/11/6

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 -