Finite time inverse optimal control of affine nonlinear systems

Author

Cai, Xiushan

Author_Institution

Coll. of Math., Phys., & Inf. Eng, Zhejiang Normal Univ., Jinhua, China

fYear

2012

fDate

23-25 May 2012

Firstpage

2328

Lastpage

2332

Abstract

This paper deals with finite time inverse optimal control for affine nonlinear systems. Based on control Lyapunov functions, a universal control formula is presented to ensure that the closed-loop system is finite time stable. From this, less conservative conditions for the finite time inverse optimal control are derived. A finite time inverse optimal control law that minimizes the cost functional is designed. A numerical example is used to illustrate the effectiveness of the proposed design technique.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; nonlinear control systems; numerical analysis; optimal control; stability; affine nonlinear systems; closed-loop system; control Lyapunov functions; control design technique; cost functional minimization; finite time inverse optimal control; finite time stability; universal control formula; Closed loop systems; Convergence; Lyapunov methods; Nonlinear systems; Optimal control; Stability analysis; control Lyapunov functions; finite time convergence; inverse optimality; nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6243041

Filename

6243041