Abstract
An adaptive integral control law in sliding mode, the purpose of which is to solve the problem of controlling the angle of rotation of the motor shaft in a nonlinear formulation, is considered. The region of the integral sliding mode, which ensures convergence in finite time, is determined, and the law of fast convergence is developed. An adaptive law for estimating the upper limit of interference and a control law are received. Using finite-time theory, the convergence properties of the closed-loop system are confirmed and the areas of convergence of sliding mode variables are determined. Numerical modeling confirming the noise immunity and efficiency of the presented control system is carried out. Keywords engine control, automatic control system, integral sliding mode method, law of fast convergence, adaptive control, finite time convergence
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