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Optimal Control for Stochastic Polynomial Systems with State-Dependent Polynomial Input

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3 Author(s)
Michael Basin ; Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, Leon, Mexico ; Alexander Loukianov ; Miguel Hernandez-Gonzalez

This paper presents the optimal quadratic Gaussian controller for stochastic polynomial systems with a state-dependent polynomial control input and a quadratic criterion over linear observations. The optimal closed-form controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. As an intermediate result, the paper gives a closed-form solution of the optimal regulator (control) problem for polynomial systems with a state-dependent polynomial control input and a quadratic criterion. Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQG controller that is optimal for linearized systems. Simulation graphs demonstrating overall performance and computational accuracy of the designed optimal controller are included.

Published in:

Innovative Computing, Information and Control (ICICIC), 2009 Fourth International Conference on

Date of Conference:

7-9 Dec. 2009