FORMATION OF THE REGULATOR IN THE NATURAL BASIS OF A LINEAR SYSTEM

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详细

A simple method for synthesizing control in the problem of transferring the trajectory of a linear non-stationary system from an initial state to an equilibrium state is proposed. The desired control is found analytically using the "natural"basis of the linear system. The connection of the degeneracy of the controllability matrix with the existence of invariants and linear relationships between phase variables is shown.

作者简介

L. Ashchepkov

Far Eastern Federal University

Email: ashchepkov@yahoo.com
Vladivostok

参考

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  3. Ashchepkov L.T., Dolgy D.V. Taekuan Kim, Agarwal R.P. Optimal Control. Cham: Springer Nature, 2022.
  4. Ashchepkov L. T. Synthesis of an optimal system with stable sliding modes // Comput. Math. Math. Phys. 2023. V. 63. № 5. P. 743–750.
  5. Гантмахер Ф.Р. Теория матриц. М.: Наука, 1967.
  6. Курош А.Г. Курс высшей алгебры. М.: Наука, 1968.

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