17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper TuP05.2

Ichihara, Hiroyuki (Kyushu Inst. of Tech.), Nobuyama, Eitaku (Kyushu Inst. of Tech.)

A Computational Approach to State Feedback Synthesis for Nonlinear Systems Based on Matrix Sum of Squares Relaxations

Scheduled for presentation during the Regular Session "Nonlinear Control I" (TuP05), Tuesday, July 25, 2006, 15:45−16:10, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on June 23, 2024

Keywords Sum of squares, Control of nonlinear systems, Optimal control

Abstract

This paper deals with a computational approach to the state feedback synthesis of an optimal control problem for input-affine polynomial nonlinear systems. The matrix sum of squares relaxations and semidefinite programming present feasible solutions of the state-dependent linear matrix inequality (SDLMI) based on the Hamilton-Jacobi-Isaacs inequality. A control oriented structural reduction decreases the computational amount. An additional use of a polynomial annihilator condition decreases the conservativeness of the SDLMI by ignoring the coupling condition.