Abstract
This paper is focused on the problem of the finite-time H ∞ inverse optimal control for affine nonlinear systems. Based on the finite-time control Lyapunov function, we derive a sufficient condition for the existence of time-invariant, continuous, finite-time stabilizing and inverse optimal state feedback control law, and propose a universal formula for constructing the finite-time H ∞ inverse optimal control law. We investigate the relationship between the finite-time stabilization and the finite-time H ∞ inverse optimal control. Finally, some examples are given to illustrate the effectiveness of the presented results.
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Acknowledgements
The work described in this paper was supported by the National Nature Science Foundation of China (Grant No. 11126210, 11001004), the Research Foundation for Youth Scholars of Beijing Technology and Business University (Grant No. QNJJ2011-34), the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR) (IHLB 201106206) and the Beijing Municipal Natural Science Foundation (Grant No. 4122019).
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Mo, L. Finite-Time H ∞ Inverse Optimal Control of Affine Nonlinear Systems. Circuits Syst Signal Process 32, 47–60 (2013). https://doi.org/10.1007/s00034-012-9442-x
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DOI: https://doi.org/10.1007/s00034-012-9442-x