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Lyapunov function method for control law synthesis under one integral and several phase constraints

  • Control Theory
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Abstract

We consider the synthesis of linear control laws under one integral and several phase constraints on the basis of the Lyapunov function method and the technique of linear matrix inequalities. In particular, our method permits one to obtain suboptimal state or output feedbacks providing the minimum upper bound for a quadratic functional under phase and control constrains or the minimum bound for the maximum deviation of the controlled variable under one integral and several phase constraints. The synthesis is generalized to the case of nonstationary parametric perturbations in the plant.

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References

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Authors and Affiliations

  1. Nizhni Novgorod State University, Nizhni Novgorod, Russia

    D. V. Balandin & M. M. Kogan

  2. Nizhni Novgorod State University of Architecture and Civil Engineering, Nizhni Novgorod, Russia

    D. V. Balandin & M. M. Kogan

Authors
  1. D. V. Balandin
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  2. M. M. Kogan
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Additional information

Original Russian Text © D.V. Balandin, M.M. Kogan, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 5, pp. 655–664.

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Balandin, D.V., Kogan, M.M. Lyapunov function method for control law synthesis under one integral and several phase constraints. Diff Equat 45, 670–679 (2009). https://doi.org/10.1134/S001226610905005X

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  • DOI: https://doi.org/10.1134/S001226610905005X

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