SYNTHESIS OF A GRADIENT-VELOCITY CONTROL SYSTEM USING THE LYAPUNOV VECTOR-FUNCTION METHOD FOR AN OBJECT WITH ONE INPUT AND ONE OUTPUT
Beisenbi M. Temirbek A. Ostayeva A. Suleimenova S.
2022Scibulcom Ltd.
Journal of the Balkan Tribological Association
2022#28Issue 6799 - 813 pp.
It is proposed to solve the problem of synthesis for an object with one input and one output of a configurable controller of the main circuit and a ‘generalized configurable object’ of an adaptive control system using the gradient-velocity method of the Lyapunov vector function. Where the aperiodic, robust stability has the desired dynamics: the reference model, the main contour, and the ‘generalized configurable object’ of the adaptive control system allow solving the problem of synthesis of a configurable controller. Automatic control systems (ACS) are used practically in all branches of production and engineering. At the same time, conventional methods of designing and researching ACS that require knowledge of an adequate mathematical model of the object are unacceptable for solving a wide class of applied problems. The quality of conventional (non-adaptive) man-agement methods is higher with the greater a priori information about the object itself and the conditions of its operation. Well-known methods for the synthesis of adaptation algorithms: methods based on the theory of hyperstability, methods based on the organization of sliding modes, methods based on the introduction of an ‘infinitely large’ gain are mainly used to create the simplest one-dimension-al systems of low order, and methods based on the application of the Lyapunov function, including gradient methods, are the main methods for investigating the stability and quality of motion of linear and nonlinear systems.
adaptive control , gradient-velocity method of the Lyapunov vector function , reference model
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Faculty of Information Technologies, L. N. Gumilyov, Eurasian National University, 2 Satpayev Str, Nur-Sultan, 010008, Kazakhstan
Department of Computer Science, Korkyt Ata Kyzylorda University, 29A Aiteke Bi Str, Kyzylorda, 120014, Kazakhstan
Faculty of Information Technologies
Department of Computer Science
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