Title :
Inverse Optimal Stabilization of a Class of Nonlinear Systems
Author_Institution :
Xiamen Univ., Xiamen
Abstract :
In this paper, an approach for constructing optimal feedback laws is for regulation of a class of nonlinear system. The inverse optimal control approach was applied which circumvents the task of solving a Hamilton-Jacobi equation and results in a controller optimal with respect to a meaningful cost functional. The inverse optimality approach requires the knowledge of a control Lyapunov function and a stabilizing control law of a particular form. For the over-voltage nonlinear mathematical models appeared in power system, using the method of integrator backstepping was constructed. A characterization of nonlinear stability margins achieved with the inverse optimal control law was given in the paper.
Keywords :
Jacobian matrices; Lyapunov methods; feedback; nonlinear control systems; optimal control; stability; Hamilton-Jacobi equation; Lyapunov function; integrator backstepping; inverse optimal control; nonlinear stability; nonlinear system control; Backstepping; Cost function; Feedback; Lyapunov method; Mathematical model; Nonlinear equations; Nonlinear systems; Optimal control; Power system modeling; Power system stability; integrator backstepping; inverse optimal control; over-voltage;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4346774