Nonlinear optimal control of magnetic levitation system based on HJB equation approximate solution

Author

Monfared, Morteza Nazari ; Dolatabadi, Marzieh Hosseini ; Fakharian, Ahamad

Author_Institution

Fac. of Electr., Biomed. & Mechatron. Eng., Islamic Azad Univ., Qazvin, Iran

fYear

2014

fDate

20-22 May 2014

Firstpage

1360

Lastpage

1365

Abstract

Magnetic levitation system is a highly nonlinear and open-loop unstable system. So, control of this system is a challenging problem. In this paper a nonlinear optimal controller based on Hamilton-Jacobi-Bellman Partial Differential Equation (HJB PDE) is designed for this system. Goal of proposed controller is stabilizing the system around a desired point. At first, a measure performance based on energy consumption is selected and then HJB PDE is formed. Finally an approximate solution method is used to solve the HJB PDE. Results show effectiveness of the utilized controller.

Keywords

control system synthesis; magnetic levitation; nonlinear control systems; optimal control; partial differential equations; stability; HJB PDE equation; Hamilton-Jacobi-Bellman partial differential equation; approximate solution method; controller stability; energy consumption; magnetic levitation system; nonlinear optimal control; Coils; Control systems; Cost function; Equations; Magnetic levitation; Mathematical model; Taylor series; HJB PDE; Magnetic levitation system; approximate solution; optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering (ICEE), 2014 22nd Iranian Conference on

Conference_Location

Tehran

Type

conf

DOI

10.1109/IranianCEE.2014.6999745

Filename

6999745