Design model-free controller for a chaotic nonlinear gyroscope system

The gyroscope system is an attractive nonlinear system that is used in various industries such as the military, aerospace, navigation, etc. Considering the importance and applications of the non-linear system of the gyroscope, the design of the control system for the operation of the gyroscope system is indispensable. Most systems in the real world have nonlinear dynamics, and it is inevitable to avoid the destructive effects of noise and unpredictable external disturbances. Nonlinear uncertainties in gyroscope dynamics, noise, and unpredictable external disturbances are major challenges in controller design. The model-free control is developed for this system. Particularly, the sliding mode controller is widely used in the control of non-linear systems due to its robustness to system dynamic uncertainties and system disturbances. In this paper, the dynamic behavior of the nonlinear gyroscope system is analyzed then a sliding mode controller based on the neural network is used to control the gyroscope system. The stability of the nonlinear gyroscope system is proved using Lyapunov's theory. The nonlinear model of the gyroscope is simulated in Simulink MATLAB to investigate the behavior of the proposed control method and compare it with other controller's methods, so the efficiency of the proposed control method in the control of the nonlinear gyroscope system is investigated