Application of regression in algorithm of nonlinear stochastic adaptation of unstable multidimensional objects

The results of a study of applicability of kernel estimation in the synergetic control systems for the objects unstable in an open-loop state (without a stabilizing control) have been presented. The effectiveness of kernel estimates has been shown for four nonlinear objects with unstable limiting states. The estimate the effectiveness of embedding the kernel predictive estimate of the state variables of a nonlinear object, subjected to disturbances of an unknown nature, into the system of synergetic control is demonstrated.

Adaptive Finite-time Synergetic Control of Delta Robot based on Radial basis Function Neural Networks

This paper proposes a novel robust proportional derivative adaptive non-singular synergetic control (PDATS) for the delta robot system. A proposal radial basis function approximation neural networks (RBF) compensates for external disturbances and uncertainty parameters. To counteract the chattering noise of the low-resolution encoder, a second-order sliding mode (SOSM) observer in the feedback loop showed the ability to obtain the angular velocity estimations. The stability of the PDATS approach is proven using the Lyapunov stability theory. Both the simulation and experiment result effectiveness and performances of the PDATS controller in trajectory; pick and place operations of a parallel delta robot. The characteristics of the controller demonstrate that the proposed method can effectively reduce external disturbance and uncertainty parameters of the robot by a convergent finite-time, and provide higher accuracy in comparison with finite-time synergetic control and PD control.

Terminal Synergetic Control for Direct Active and Reactive Powers in Asynchronous Generator-Based Dual-Rotor Wind Power Systems

A terminal synergetic control (TSC) is designed in this work for a rotor side converter (RSC) of asynchronous generator (ASG)-based dual-rotor wind power (DRWP) systems. The design is based on a novel sliding manifold and aims at improving the ASG performance while minimizing active and reactive power undulations. The method performance and its effectiveness were studied under harmonic distortion (THD) of current, parameter variations and power undulations. Simulation results, carried out using Matlab software, confirmed the system’s robustness against parameter variations and its effectiveness in power undulations. The performance of the designed technique was further compared to that of integral-proportional (PI) controllers in terms of parameter variations, power undulations and THD value of current. While both controllers were able to reduce the effects of power undulations and protect the rotor circuit against over-currents, the proposed TSC was shown to be more effective than the classical PI controller in tracking power and minimizing the undulations effect.

Fast Synergetic Control for Chaotic Oscillation in the Power System Based on Input-Output Feedback Linearization

This paper presents a fast synergetic control scheme for chaotic oscillation in a three-bus power system model. First, the coupling dynamic model of a controlled power system with the current source converter-based STATCOM device and energy storage device is established. Then, the input-output linearization process for the controlled power system is derived step by step, the control problem for the complex nonlinear power system model is completely transformed into the control of linear systems, and a fast synergetic control scheme is proposed for these linear systems. Since the designed control inputs contain complex system functions which are very difficult to obtain and reduce the engineering practicability of the designed controllers, the assumption that system functions are bounded is introduced into the controller design process, and the controllers are redesigned. The remarkable advantages of the proposed control method are that it improves the rapidity of traditional synergetic control and avoids complex system functions in control inputs. Finally, the effectiveness and the superiority of the control scheme are verified by simulation results.