scholarly journals Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Xue-Lian Jin ◽  
Yang Zhang ◽  
Fu Zheng ◽  
Bao-zhu Guo
Keyword(s):  
Heat Exchanger ◽  
Time Delay ◽  
Exponential Stability ◽  
Closed Loop ◽  
Abstract Cauchy Problem ◽  
Loop System ◽  
Physical Parameters ◽  
Closed Loop System ◽  
Close Loop System ◽  
Resolvent Estimates

The exponential stability of the monotubular heat exchanger equation with boundary observation possessing a time delay and inner control was investigated. Firstly, the close-loop system was translated into an abstract Cauchy problem in the suitable state space. A uniformly bounded C0-semigroup generated by the close-loop system, which implies that the unique solution of the system exists, was shown. Secondly, the spectrum configuration of the closed-loop system was analyzed and the eventual differentiability and the eventual compactness of the semigroup were shown by the resolvent estimates on some resolvent sets. This implies that the spectrum-determined growth assumption holds. Finally, a sufficient condition, which is related to the physical parameters in the system and is independent of the time delay, of the exponential stability of the closed-loop system was given.

A Simple Structure for Bilateral Transparent Teleoperation Systems With Time Delay

2008 ◽  
Vol 130 (4) ◽  
Author(s):  
Alireza Alfi ◽  
Mohammad Farrokhi
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Simple Structure ◽  
Finite Impulse Response ◽  
Structure Design ◽  
Loop System ◽  
Bilateral Teleoperation ◽  
Closed Loop System ◽  
The Stability ◽  
Teleoperation Systems

This paper presents a simple structure design for bilateral teleoperation systems with uncertainties in time delay in communication channel. The goal is to achieve complete transparency and robust stability for the closed-loop system. For transparency, two local controllers are designed for the bilateral teleoperation systems. One local controller is responsible for tracking the master commands, and the other one is in charge of force tracking as well as guaranteeing the stability of the closed-loop system in the presence of uncertainties in time delay. The stability analysis will be shown analytically for two cases: (I) the possibly stability and (II) the intrinsically stability. Moreover, in Case II, in order to generate the proper inputs for the master controller in the presence of uncertainties in time delay, an adaptive finite impulse response (FIR) filter is designed to estimate the time delay. The advantages of the proposed method are threefold: (1) stability of the closed-loop system is guaranteed under some mild conditions, (2) the whole system is transparent, and (3) design of the local controllers is simple. Simulation results show good performance of the proposed method.

scholarly journals Robust LFC Strategy for Wind Integrated Time-Delay Power System Using EID Compensation

Energies ◽  
2019 ◽  
Vol 12 (17) ◽  
pp. 3223 ◽  
Author(s):  
Liu ◽  
Zhang ◽  
Zou
Keyword(s):  
Time Delay ◽  
Power System ◽  
Closed Loop ◽  
Frequency Control ◽  
Loop System ◽  
Load Frequency Control ◽  
System Stability ◽  
Linear Matrix ◽  
Closed Loop System ◽  
The Stability

This paper presents an active disturbance rejection control (ADRC) technique for load frequency control of a wind integrated power system when communication delays are considered. To improve the stability of frequency control, equivalent input disturbances (EID) compensation is used to eliminate the influence of the load variation. In wind integrated power systems, two area controllers are designed to guarantee the stability of the overall closed-loop system. First, a simplified frequency response model of the wind integrated time-delay power system was established. Then the state-space model of the closed-loop system was built by employing state observers. The system stability conditions and controller parameters can be solved by some linear matrix inequalities (LMIs) forms. Finally, the case studies were tested using MATLAB/SIMULINK software and the simulation results show its robustness and effectiveness to maintain power-system stability.

scholarly journals Efficiency Analysis of the Main Components of a Vertical Closed-Loop System in a Borehole Heat Exchanger

Energies ◽  
2017 ◽  
Vol 10 (2) ◽  
pp. 201 ◽  
Author(s):  
Cristina Sáez Blázquez ◽  
Arturo Farfán Martín ◽  
Ignacio Martín Nieto ◽  
Pedro Carrasco García ◽  
Luis Sánchez Pérez ◽  
...  
Keyword(s):  
Heat Exchanger ◽  
Closed Loop ◽  
Efficiency Analysis ◽  
Loop System ◽  
Borehole Heat Exchanger ◽  
Closed Loop System ◽  
Main Components

scholarly journals Sector stability criteria for a nonlinear axial motion string system

2021 ◽  
Author(s):  
Rui Wu ◽  
Yi Cheng ◽  
Donal O'Regan
Keyword(s):  
Exponential Stability ◽  
Closed Loop ◽  
Semigroup Theory ◽  
Nonlinear Partial Differential Equation ◽  
Loop System ◽  
Closed Loop System ◽  
Axially Moving ◽  
The Right ◽  
Nonlinear Semigroup Theory ◽  
Control Criterion

The paper investigates the exponential stability criterion for an axially moving string system driven by a nonlinear partial differential equation with nonlinear boundary feedback.The control criterion based on a sector condition contains a large class of nonlinearities, which is a negative feedback of the velocity at the right boundary of the moving string. By invoking nonlinear semigroup theory, the well-posedness result of the closed-loop system is verified under the sector criteria. Furthermore, a novel energy like function is constructed to establish the exponential stability of the closed-loop system by using a integral-type multiplier method and the generalized Gronwall-type integral inequality.

Event-triggered Hꝏ control for NCS with time-delay and packet losses

2019 ◽  
Vol 37 (3) ◽  
pp. 918-934
Author(s):  
Jing Bai ◽  
Ying Wang ◽  
Li-Ying Zhao
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Discrete Event ◽  
Sufficient Conditions ◽  
Loop System ◽  
Linear Matrix ◽  
Time Varying ◽  
Closed Loop System ◽  
Packet Losses ◽  
Event Triggered

Abstract This paper is concerned with the discrete event-triggered dynamic output-feedback ${H}_{\infty }$ control problem for the uncertain networked control system, where the time-varying sampling, network-induced delay and packet losses are taken into account simultaneously. The random packet losses are described via the Bernoulli distribution. And then, the closed-loop system is modelled as an augmented time-delay system with interval time-varying delay. By using the Lyapunov stability theory and the augmented state space method, the sufficient conditions for the asymptotic stability of the closed-loop system are proposed in the form of linear matrix inequalities. At the same time, the design method of the ${H}_{\infty }$ controller is created. Finally, a numerical example is employed to illustrate the effectiveness of the proposed method.

Mechatronic System Design Applied to Double Inverted Pendulum with Flywheel Actuator

2009 ◽  
Vol 147-149 ◽  
pp. 272-277
Author(s):  
Lukáš Bláha ◽  
Miloš Schlegel
Keyword(s):  
System Design ◽  
Closed Loop ◽  
Inverted Pendulum ◽  
Loop System ◽  
Main Issue ◽  
Physical Parameters ◽  
Stabilization Problem ◽  
Closed Loop System ◽  
Mechatronic System

In this paper we study the stabilization problem of double inverted pendulum via wlywheel actuator. The main issue of the paper is whether such system can be stabilized in real conditions or not. It is shown that the answer strongly depends on the structural (geometric and physical) parameters of the system. The paper gives the procedure for optimizing these parameters under specified conditions to obtain the most robust closed loop system.

Observer-based sliding mode control for piezoelectric wing bending-torsion coupling flutter involving delayed output

2020 ◽  
pp. 107754632094912
Author(s):  
Da Li ◽  
Hui Yang ◽  
Na Qi ◽  
Jiaxin Yuan
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Linear Matrix Inequalities ◽  
Closed Loop ◽  
Sliding Mode ◽  
Loop System ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Piezoelectric Patch

An observer-based sliding mode control scheme is proposed for suppressing bending-torsion coupling flutter motions of a wing aeroelastic system with delayed output by using the piezoelectric patch actuators. The wing structure is modeled as a thin-walled beam, and the aerodynamics on the wing are computed by the strip theory. For the implementation of the control algorithm, the piezoelectric patch is bonded on the top surface of the beam to act as the actuator. Ignoring the effect of piezoelectric actuators on structural dynamics, only considering the bending moments induced by piezoelectric effects, the corresponding dynamic motion equation is established by using the Lagrange method with the assumed mode method. The flutter speed and frequency of the closed-loop system with time delay are obtained by solving a polynomial eigenvalue problem. An observer-based controller that does not dependent on time delay is developed for suppressing the flutter, and the corresponding gain matrices are obtained by solving linear matrix inequalities. The sufficient condition for the asymptotic stability of the closed-loop system is derived in terms of linear matrix inequalities. The simulation results demonstrate that the proposed control strategy based on the piezoelectric actuator is effective in wing bending-torsion coupling flutter system with a delayed output.

scholarly journals Curvature- and Torsion-Based Consensus for the Markovian Switching Multiagent System with Communication of Noise Disturbance and Time Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Jinping Mou ◽  
Dongbing Tong ◽  
Xianyi Shao ◽  
Huafeng Ge ◽  
Yiling Lv
Keyword(s):  
Time Delay ◽  
Multiagent System ◽  
Closed Loop ◽  
Lyapunov Method ◽  
Loop System ◽  
Markovian Switching ◽  
Consensus Problem ◽  
Closed Loop System ◽  
Communication Behaviors ◽  
Curvature And Torsion

This paper investigates the consensus problem for the distributed multiagent system (MAS), where the trajectory of each agent is displayed by curvature and torsion, and the communication behaviors among agents are influenced by time delay and corrupted by noises. According to the Frenet–Serret formulas, a class of consensus protocols is designed for all agents, and a closed-loop system is obtained. Based on the Lyapunov method, several consensus criteria are derived, where the consensus criteria are characterized by curvature functions and torsion functions. Finally, one example shows the reliability of the proposed methods.

scholarly journals Boundary Stabilization of Heat Equation with Multi-Point Heat Source

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 834
Author(s):  
Qing-Qing Hu ◽  
Feng-Fei Jin ◽  
Bao-Qiang Yan
Keyword(s):  
Heat Source ◽  
Heat Equation ◽  
Exponential Stability ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Controller ◽  
Loop System ◽  
Boundary Stabilization ◽  
Closed Loop System ◽  
Point Heat Source

In this paper, we consider boundary stabilization problem of heat equation with multi-point heat source. Firstly, a state feedback controller is designed mainly by backstepping approach. Under the designed state controller, the exponential stability of closed-loop system is guaranteed. Then, an observer-based output feedback controller is proposed. We prove the exponential stability of resulting closed-loop system using operator semigroup theory. Finally, the designed state and output feedback controllers are effective via some numerical simulations.

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