Extended Finite Time Inverse Optimal Control of Nonlinear Systems

Xin Jun Ren; Yan Jun Shen

doi:10.4028/www.scientific.net/AMR.403-408.1499

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 403-408Extended Finite Time Inverse Optimal Control of...

Extended Finite Time Inverse Optimal Control of Nonlinear Systems

Abstract:

In this paper, we use the definition of control Lyapunov functions to study finite time inverse optimal control for affine nonlinear systems. Based on control Lyapunov functions, a finite time universal control formula is presented, which can ensure the closed-loop system is finite time stable. From this, less conservative conditions for the finite time inverse optimal control are derived. We design a finite time inverse optimal control law, which minimizes the cost functional. A numerical example verifies the validity of the proposed method.

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Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

1499-1502

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.403-408.1499

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Online since:

November 2011

Authors:

Xin Jun Ren, Yan Jun Shen

Keywords:

Control Lyapunov Functions, Finite Time Inverse Optimal Control, Nonlinear System

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