Artigo
An Optimal Linear Control Design for Nonlinear Systems
Fecha
2008-10-01Registro en:
Journal of The Brazilian Society of Mechanical Sciences and Engineering. Rio de Janeiro Rj: Abcm Brazilian Soc Mechanical Sciences & Engineering, v. 30, n. 4, p. 279-284, 2008.
1678-5878
10.1590/S1678-58782008000400002
S1678-58782008000400002
WOS:000265311000002
S1678-58782008000400002.pdf
Autor
Universidade Federal do ABC (UFABC)
Universidade Estadual Paulista (Unesp)
Universidade Regional do Noroeste do Estado do Rio Grande do Sul (Unijuí)
Universidade do Contestado (UnC)
Resumen
This paper studies the linear feedback control strategies for nonlinear systems. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation thus guaranteeing both stability and optimality. The formulated Theorem expresses explicitly the form of minimized functional and gives the sufficient conditions that allow using the linear feedback control for nonlinear system. The numerical simulations the Duffing oscillator and the nonlinear automotive active suspension system are provided to show the effectiveness of this method.