Title :
Method of fitting the solution of SDRE with polynomial
Author :
Li-ye Wu ; Zhen Yu ; Li-jun Liu
Author_Institution :
Dept. of Autom., Xiamen Univ., Xiamen, China
Abstract :
The State-dependent Riccati equation (SDRE) method is widely used in the suboptimal controller design, but the SDRE is difficult to solve. In this paper, a new method that based on polynomial fitting is proposed for the solution of SDRE. And it is used in the design of missile guidance law for impact angel constrained to zero. Compared to the existing methods, it has obvious advantages in accuracy and calculation on line. What is more, the final solution has analytical form, which has good properties for the analysis and improvement. Simulation results are also given to demonstrate that it is accurate and clear, which can replace the real solution of SDRE.
Keywords :
Riccati equations; control system synthesis; optimal control; polynomials; SDRE method; missile guidance law; polynomial fitting; state-dependent Riccati equation; suboptimal controller design; Accuracy; Approximation methods; Fitting; Missiles; Polynomials; Riccati equations; SDRE; State-Dependent Riccati Equation; guidance law; impact angel; polynomial fitting;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6896956
