4 results about "Fractional-order system" patented technology

This invention discloses a method and system for stabilizing a robotic arm based on fractional-order sliding mode adaptive compensation. The method includes: constructing a unified dynamic model incorporating time-varying delays, nonlinear disturbances, and neural network approximation errors; defining the sliding mode function using Caputo fractional derivatives, establishing an improved trend law based on the improved Fal function and hyperbolic tangent function, and obtaining a control law based on the error-driven dynamic model and the improved approach law; constructing a dynamic adaptive compensator linked to time-delay gradient information to address the residual errors of the radial basis function and the unknown nonlinear terms in the neural network approximation, and dynamically adjusting the compensation gain based on the dynamic adaptive compensator; constructing a Lyapunov functional adapted to the fractional-order system, deriving the exponential stability criterion for the closed-loop system using Young's inequality and Halany's inequality, and determining the quantitative correlation between the fractional-order order and the convergence rate. This invention solves the problems of imbalance between robustness and smoothness and weak time-delay adaptability in existing technologies, significantly improving control accuracy and reliability.

The invention discloses a fractional order Kalman filtering method and system based on GIS bus colored noise distribution, and relates to the technical field of signal processing and filtering. Aiming at the problem of low estimation precision of GIS bus electric field signals in a strong colored noise environment in the existing filtering technology, the method comprises the following steps: firstly, establishing a state equation and an output equation of a continuous time linear fractional order system, and analyzing colored characteristics of noise; discretization is carried out by using a Tustin generation function method, and an augmented state vector and an augmented system equation are constructed by using an augmented vector method; and finally, designing a fractional order Kalman filter to realize dynamic gain adjustment of noise autocorrelation. Colored noise interference can be effectively suppressed, and the accuracy and reliability of electric field signal filtering in a complex electromagnetic environment are remarkably improved.

The invention discloses a fractional order active disturbance rejection control method for a fractional order chaotic system, and the method comprises the following steps: constructing a mathematical model of a fractional order Lorenz chaotic system according to a fractional order calculus theory; designing a fractional order tracking differentiator in order to accurately extract fractional order differential information of a system state variable; designing a fractional order expansion state observer for observing the total disturbance of the fractional order chaotic system; comparing the output of the fractional order expansion state observer with the output of the fractional order tracking differentiator to obtain an error signal, and designing a fractional order PID controller; and designing a fractional order active disturbance rejection controller to realize stable control of the fractional order Lorenz system. The fractional order active-disturbance-rejection control method for the fractional order chaotic system effectively makes up for the defects of the existing control technology, and remarkably improves the control precision, the anti-interference capability and the chaos phenomenon suppression capability of the fractional order chaotic system.

The invention relates to the technical field of wind power generation control, and discloses a self-adaptive fractional order permanent magnet synchronous wind driven generator fuzzy control method and system. Aiming at the nonlinear characteristic of a permanent magnet synchronous generator and the problem that the performance of a traditional control method is limited under a dynamic working condition, a Lyapunov function is constructed by utilizing a fractional order Lyapunov stability theory, and a T-S fuzzy controller is designed to be applied to a fractional order PMSG wind power generation system in combination with an adaptive quantization mechanism. By establishing a fuzzy logic control method based on an observer, the actual effect of an adaptive quantization mechanism on the asymptotic stability of the fractional order PMSG system is verified; constructing a function by means of a fractional order Lyapunov stability theory to cope with random dynamic behaviors of the model; and analyzing the interaction between the fractional order and the controller, and determining the optimal order and the influence of the order on the service life of the controller. According to the method, the stability and robustness of the system under uncertain conditions are improved, and compared with a traditional control strategy, the method shows better performance in fractional order PMSG wind power generation system control.