Title :
Finite time inverse optimal control of affine nonlinear systems
Author_Institution :
Coll. of Math., Phys., & Inf. Eng, Zhejiang Normal Univ., Jinhua, China
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6243041
