Synchronization controller design for a network of boundary-controlled anti-stable wave equation with time-varying perturbations

Author(s):  
Jian Yang ◽  
Xiju Zong ◽  
Zhenzhen Chen ◽  
Shuying Yang

In this paper, a output feedback controller based on an infinite dimensional disturbance observer and a state feedback controller based on backstepping method are proposed to solve the synchronous control problem of network anti-stable wave equation with time-varying disturbance at the boundary. One agent in the network wave equation as the virtual leader, and all remaining agents need to track the status of the virtual leader incrementally. Here, the design of synchronous controller is divided into three parts. Firstly, backstepping method is used to design a set of controllers that makes all the systems stable. Secondly, infinite dimensional disturbance observers based on the idea of the active disturbance rejection control (ADRC) technology are used to estimate the disturbance. Finally, the synchronization controllers are designed, and the error between the following system and the virtual leader system converges to 0 in the appropriate sense. The applicability of the closed-loop system is analyzed and proved. The simulation results show the effectiveness of the controller design.

2021 ◽  
Vol 19 (1) ◽  
pp. 394-419
Author(s):  
Tao Bai ◽  
◽  
Junkai Song

<abstract> <p>In the theoretical controller design of the High-Speed Supercavitating Vehicle (HSSV), there will always be the problem that the physical saturation limit has to be exceeded by the motion range of the actuator to satisfy the requirements of stable motion of the supercavitating vehicle. This paper proposes a solution which could satisfy the requirements of stable motion of the vehicle without saturation of the actuator. First of all, the rotation range of the actuator and the motion performance of the vehicle with robust controller are analyzed under the condition where saturation is neglected. Then, according to the analysis conclusion, the controller is improved by using linear active disturbance rejection control (LADRC) method, which provides the additional control component to reduce the rotation angle and rotation speed of the actuator. Finally, the simulation proves that the solution could realize the stable motion of vehicle without saturation of actuator.</p> </abstract>


Author(s):  
Zhengrong Chu ◽  
Christine Wu ◽  
Nariman Sepehri

In this article, a new automated steering control method is presented for vehicle lane keeping. This method is a combination between the linear active disturbance rejection control and the quantitative feedback theory. The structure of the steering controller is first determined based on the linear active disturbance rejection control, then the controller is tuned in the framework of the quantitative feedback theory to meet the prescribed design specifications on sensitivity and closed-loop stability. The parameter uncertainties of the vehicle system are considered at the tuning stage. The proposed steering controller is simulated and tested on a scale vehicle. Both the simulation and experimental results demonstrate that the scale vehicle controlled by the proposed controller is able to perform the lane keeping. In the experiments, the lateral offset between the scale vehicle and the road centerline is regulated within the acceptable ranges of ±0.03 m during straight lane keeping and ±0.15 m during curved lane keeping. The proposed controller is easy to be implemented and is simple without requiring complex calculations and measurements of vehicle states. Simulations also show that the control method can be implemented on a full-scale vehicle.


2011 ◽  
Vol 335-336 ◽  
pp. 571-576
Author(s):  
Chuan Sheng Tang ◽  
Yue Hong Dai

A novel ADRC scheme is proposed for permanent magnet linear synchronous motor without sensor, which has nonlinear, multi-load disturbance and parameter time-varying characteristics. Extended states observer (ESO) in ADRC can real-time estimate speed, location and uncertain disturbance, and the parameters artificial is used to optimize by fish swarm algorithm. Finally, simulation results confirm the proposed strategy has better tracking performance and robustness than the traditional one.


2019 ◽  
Vol 21 (8) ◽  
pp. 1541-1554
Author(s):  
Meiyu Feng ◽  
Xiaohong Jiao ◽  
Zhong Wang

To improve tracking performance of engine speed in the face of nonlinearity and time-varying uncertainty, this article investigates the double closed-loop cascade active disturbance rejection control strategy for automotive engine control system. In this cascade control arrangement, the outer active disturbance rejection speed controller with the extended state observer for the speed error and its integral, and disturbance from load torque and time-varying uncertainty, drives the set-point of the inner loop to keep the engine speed to its set-point; meanwhile, the inner active disturbance rejection pressure controller with the extended state observer for the pressure error and its integral, and disturbance from the air mass flow rate leaving the intake manifold and the pumping fluctuation of air charge, manages the throttle valve to match the pressure with the set-point requested by the outer active disturbance rejection speed controller. The observer gains and controller gains of active disturbance rejection speed controller and active disturbance rejection pressure controller are determined by the linear matrix inequalities ensuring the stability and disturbance attenuation level of the closed-loop system. The effectiveness is validated by implementing the proposed strategy and a series of related control schemes in the simulator of a real V6 engine.


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