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POLE PLACEMENT OF LINEAR MULTIDIMENSIONAL SYSTEMS USING UNLIMITED RANK OUTPUT FEEDBACK

Jasur SevinovTashkent State Technical University, Address: 2 Universitetskaya st., 100095, Tashkent city, Republic of Uzbekistan. E-mail: [email protected];Okila Khusanovna BoevaNavoiy State Mining and Technological University, Address: 210100, 27 Galaba Str., Navoiy, Republic of Uzbekistan, E-mail: [email protected]
ABI

Abstract

The problem of placing poles in linear multidimensional systems using a feedback matrix of unlimited rank is considered. The effect of output feedback of indefinite rank of the characteristic polynomial of a system with several variables is studied. The results are then used to obtain a recurrent pole placement algorithm without any restrictions on the rank of the output feedback matrix used. The algorithm is based on the pseudo-inverse concept of obtaining solutions to systems of linear equations using the least squares method and is computationally efficient.

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