scholarly journals Study on the Lyapunov Stability of a Time-Discrete Macro Traffic System with Variable Delay and Feedback Control

Electronics ◽  
2021 ◽  
Vol 10 (19) ◽  
pp. 2346
Author(s):  
Shan Jiang ◽  
Geng Zhang ◽  
Yu Zhang ◽  
Dong-Bo Pan ◽  
Wen-Ze Xiong
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
Stable Condition ◽  
Control Parameters ◽  
Variable Delay ◽  
Lyapunov Theorem ◽  
Traffic Jam ◽  
Traffic System ◽  
The Stability ◽  
Feedback Control Strategy

This paper constructs and analyzes a time-discrete macro traffic system with bounded variable delay and feedback control strategy. By theoretical analysis using the Lyapunov theorem, a stable condition of the macro traffic system is derived under which traffic jams can be suppressed. The traffic developing properties of the new traffic system for different variable delay and feedback control parameters are illustrated through simulation. The results show that variable delay can easily lead a traffic system to evolve into a traffic jam, and the feedback control strategy can enhance the stability of the traffic system with respect to variable delay. Moreover, the traffic unstable level caused by variable delay is less than the unstable extent caused by the constant upper bound of variable delay; still it is more serious than the traffic fluctuation caused by the constant lower bound of variable delay.

A FEEDBACK CONTROL STRATEGY FOR AIRFOIL FLUTTER UNDER RANDOM EXCITATION

2013 ◽  
Vol 12 (03) ◽  
pp. 1350013
Author(s):  
YONG HUANG ◽  
GANG TAO
Keyword(s):  
Feedback Control ◽  
Original System ◽  
Random Excitation ◽  
Second Order ◽  
Order Moment ◽  
Control Parameters ◽  
Flutter Suppression ◽  
The Stability ◽  
Feedback Control Strategy ◽  
Stochastic Controller

In this paper, a study was conducted regarding the stability of a binary airfoil under stochastic disturbances with feedback control. A new stochastic controller has been developed and investigated via Monte Carlo simulation. In order to design the new controller, the original system is transformed to the second-order moment one. Then the optimal control parameters can be obtained by searching for the effectual control parameters in the second-order moment system. Finally, the numerical simulations are included to visualize the good performances in flutter suppression.

scholarly journals Input Disturbance Suppression for Unidirectional Matrix Converter with a Stability-Enhancing Modulation Scheme

Energies ◽  
2019 ◽  
Vol 12 (13) ◽  
pp. 2625
Author(s):  
Jiaxing Lei ◽  
Chaofan Wei ◽  
Shuang Feng
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
Low Frequency ◽  
Input Voltage ◽  
Matrix Converter ◽  
Modulation Scheme ◽  
Input Filter ◽  
Disturbance Suppression ◽  
The Stability ◽  
Feedback Control Strategy

This paper proposes an input voltage disturbance suppression control strategy for the unidirectional matrix converter (UMC) with a new modulation scheme enhancing the stability. In the new scheme, the modulation index is directly, rather than reversely, proportional to the instantaneous amplitude of input filter capacitor voltages. Contrary to traditional schemes, the stability of the UMC with this new scheme is even better with the increase of the transferred active power, which is particularly suitable for applications with sinusoidal and balanced input conditions. As to the disturbed input conditions, the new scheme could introduce low-frequency harmonics into output currents. To address this issue, a feedback control strategy of output current amplitude is further proposed to eliminate the additional harmonics. Stability analysis of a UMC with the proposed modulation scheme and feedback control strategy is presented. Experimental results have verified the validity of the proposed control solution.

scholarly journals An Optimal Feedback Control Strategy for Nonlinear, Distributed-Parameter Processes

Processes ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 758 ◽  
Author(s):  
Debaprasad Dutta ◽  
Simant Ranjan Upreti
Keyword(s):  
Feedback Control ◽  
Oil Recovery ◽  
Control Strategy ◽  
Moving Boundary ◽  
State Feedback Control ◽  
Optimal Feedback Control ◽  
Distributed Parameter ◽  
Optimal State ◽  
Non Linear ◽  
Feedback Control Strategy

In this work, an optimal state feedback control strategy is proposed for non-linear, distributed-parameter processes. For different values of a given parameter susceptible to upsets, the strategy involves off-line computation of a repository of optimal open-loop states and gains needed for the feedback adjustment of control. A gain is determined by minimizing the perturbation of the objective functional about the new optimal state and control corresponding to a process upset. When an upset is encountered in a running process, the repository is utilized to obtain the control adjustment required to steer the process to the new optimal state. The strategy is successfully applied to a highly non-linear, gas-based heavy oil recovery process controlled by the gas temperature with the state depending non-linearly on time and two spatial directions inside a moving boundary, and subject to pressure upsets. The results demonstrate that when the process has a pressure upset, the proposed strategy is able to determine control adjustments with negligible time delays and to navigate the process to the new optimal state.

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