Chaos RBF dynamics surface control of brushless DC motor with time delay based on tangent barrier Lyapunov function

Abstract

Non-dimensional mathematical model of brushless DC motor (BLDCM) system is presented here. BLDCM is known to produce chaotic phenomenon under certain conditions. This paper fuses dynamic surface control, radial basis function neural network, and adaptive technology to control the BLDCM, which overcomes the repetitive differentiation of the nonlinear terms of backstepping and the boundedness hypothesis of control gain predetermined. The tangent barrier Lyapunov function is also used for time-delay nonlinear system with parametric uncertainties. Simulation results under different conditions indicate that the proposed method works well to suppress chaos and effects of parameter variation.

Chaos control for the output-constrained system by using adaptive dynamic surface technology and application to the brushless DC motor

“…1, is an electromechanical system. Its equations of electrical and mechanical dynamics can be written in the following forms 23,24 …”

Neural adaptive tracking control for an uncertain robot manipulator with time-varying joint space constraints

“…Different types of BLFs are exploited like logarithm BLFs [20], integral BLFs [23], tangent BLFs [24,25], secant BLFs [26], and cotangent BLFs [27]. The BLFs based control has been utilized to handle several practical systems with constraints like direct current (DC) motors [28,29], wind turbines [30], flexible structure systems [31][32][33][34], and aerial vehicles [19,[35][36][37]. Logarithm BLF is employed to solve the trajectory tracking control problem of a fully actuated surface vessel with asymmetric output and input constraints [38].…”

Local bifurcation analysis of brushless DC motor

“…3,[8][9][10] Chaos control, chaos synchronization, and chaos stabilization on BLDCM or power system were implemented by various methods. [11][12][13][14][15][16][17][18] Besides chaos control, some mechanical analyses have been conducted in terms of force and energy cycling on the BLDCM. 19 In general, chaos control has been interesting since chaotic angular velocity is detrimental to the operation of the motor.…”