A new approach for synthesis of the control system by gradient-velocity method of Lyapunov vector functions
Beisenbi M. Kaliyeva S. Sagymbay A. Abdugulova Z. Ostayeva A.
31 January 2021Little Lion Scientific
Journal of Theoretical and Applied Information Technology
2021#99Issue 2381 - 389 pp.
We suggest technique for the synthesis of control systems with the state vector by means of gradient-velocity method of Lyapunov vector functions. Gradient-velocity method of Lyapunov vector functions is based on the presence of a gradient in a control system with a potential function in the form of Lyapunov function. Total derivative of the Lyapunov vector function with respect to time always exists as a negative definite function representing scalar product of the gradient vector and components of the velocity vector expansion in coordinates. In this paper, the synthesis of control systems is provided with the state vector directly from the matrix components of the closed loop system. Meanwhile, the controller synthesis is considered as a method for determining the allowed range of controller parameters to provide desired performance in a closed loop system.
Control system , Controller synthesis , Gradient-velocity method , Lyapunov vector function , System with m inputs and n outputs
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L.N. Gumilyov Eurasian National University, Department of System Analyses and Control, Satpayev Street, 2, Nur-Sultan, 010008, Kazakhstan
Qorqyt Ata State University, Aiteke bie Street, 29A, Kyzylorda, 120000, Kazakhstan
L.N. Gumilyov Eurasian National University
Qorqyt Ata State University
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