scholarly journals Design of Decoupled Pi Controllers for Two-Input Two-Output Networked Control Systems with Intrinsic and Network-Induced Time Delays

2021 ◽  
Vol 15 (4) ◽  
pp. 201-208
Author(s):  
Ould Mohamed Mohamed Vall
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
Controller Design ◽  
Networked Control Systems ◽  
Networked Control ◽  
Water Separation ◽  
Decoupling Method ◽  
Locus Method ◽  
Tito Systems ◽  
The Stability

Abstract Proportional integral controller design for two-input two-output (TITO) networked control systems (NCSs) with intrinsic and network-induced time delays is studied in this paper. The TITO NCS consists of two delayed sub-systems coupled in a 1-1/2-2 pairing mode. In order to simplify the controller design, a decoupling method is first applied to obtain a decoupled system. Then, the controllers are designed based on the transfer function matrix of the obtained decoupled system and using the boundary locus method for determining the stability region and the well-known Mikhailov criterion for the stability test. A comparative analysis of the designed controllers and other controllers proposed in previous literature works is thereafter carried out. To demonstrate the validity and efficacy of the proposed method and to show that it achieves better results than other methods proposed in earlier literature works, the implementation in simulation of Wood–Berry distillation column model (methanol–water separation), a well-known benchmark for TITO systems, is carried out.

H∞ stabilisation of networked control systems with time delays and packet losses

2014 ◽  
Vol 24 (5) ◽  
Author(s):  
HONGBO LI ◽  
FUCHUN SUN ◽  
ZENGQI SUN ◽  
CHANGQING YUAN
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Control ◽  
Closed Loop System ◽  
Packet Losses ◽  
The Stability

This paper addresses the H∞ state feedback stabilisation problem for networked control systems (NCSs) in the presence of time delays and packet losses. By introducing the concept of an effective sensor packet, the NCS is transformed into a new discrete-time switched model, where the parameters have a clear physical meaning and can be easily determined. In this framework, we derive the stability conditions of the closed-loop system in the H∞ sense, and also provide the corresponding H∞ stabilising controller design method. Finally, we give simulation and experimental results to demonstrate the effectiveness of the proposed approaches.

scholarly journals A Time-Delay-Bounded Data Scheduling Algorithm for Delay Reduction in Distributed Networked Control Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Zeming Fan ◽  
Xiaojun Yu ◽  
Hao Wan ◽  
Meilin Kang ◽  
Yuan Liu ◽  
...  
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Time Delays ◽  
Data Exchange ◽  
Networked Control Systems ◽  
Scheduling Algorithm ◽  
Networked Control ◽  
Delay Reduction ◽  
Data Scheduling ◽  
The Stability

As a key feature of networked control systems (NCSs), the time delays induced by communication medium sharing and data exchange over the system components could largely degrade the NCS performances or may even cause system instability, and thus, it is of critical importance to reduce time delays within NCSs. This paper studies the time-delay reduction problem in distributed NCSs and presents a dual-way data scheduling mechanism for time-delay reductions in delay-bounded NCSs with time-varying delays. We assess the time delays and their influences on the NCSs first with various delay factors being considered and then describe a one-way scheduling mechanism for network-delay reductions in NCSs. Based upon such a method, a dual-way scheduling algorithm is finally proposed for distributed NCSs with different types of transmitted data packets. Experiments are conducted on a remote teaching platform to verify the effectiveness of the proposed dual-way scheduling mechanism. Results demonstrate that, with the stability time-delay bound considered within the scheduling process, the proposed mechanism is effective for NCS time-delay reductions while addressing the stability, control accuracy, and settling time issues efficiently. Such a proposed mechanism could also be implemented together with some other existing control algorithms for time-delay reductions in NCSs. Our work could provide both useful theoretical guidance and application references for stable tracking control of delay-bounded NCSs.

scholarly journals Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Yanfeng Wang ◽  
Peiliang Wang ◽  
Zuxin Li ◽  
Huiying Chen
Keyword(s):  
Time Delay ◽  
Markov Chains ◽  
Control Systems ◽  
Time Delays ◽  
Controller Design ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Networked Control ◽  
Random Time ◽  
Nonlinear Networked Control Systems

This paper investigates the observer-based controller design problem for a class of nonlinear networked control systems with random time-delays. The nonlinearity is assumed to satisfy a global Lipschitz condition and two dependent Markov chains are employed to describe the time-delay from sensor to controller (S-C delay) and the time-delay from controller to actuator (C-A delay), respectively. The transition probabilities of S-C delay and C-A delay are both assumed to be partly inaccessible. Sufficient conditions on the stochastic stability for the closed-loop systems are obtained by constructing proper Lyapunov functional. The methods of calculating the controller and the observer gain matrix are also given. Two numerical examples are used to illustrate the effectiveness of the proposed method.

Controller Design of Output Feedback MIMO Networked Control Systems with Multiple Packet Transmission

2009 ◽  
Vol 16-19 ◽  
pp. 935-940
Author(s):  
Cheng Xiang Xie ◽  
Wei Li Hu
Keyword(s):  
Control Systems ◽  
Periodic System ◽  
Controller Design ◽  
Networked Control Systems ◽  
Sampling Period ◽  
Packet Transmission ◽  
Networked Control ◽  
Matrix Inequalities ◽  
Static Scheduling ◽  
The Stability

MIMO (mult-input multi-output) networked control systems (NCSs) with multiple packet transmission is considered. The network-induced delay is assumed to be time-varying and less than one sampling period. Suppose the data of sensor node is part of system outputs and is transferred with static scheduling strategy, then the NCS is modeled as uncertain periodic system. The uncertain periodic system theory is used for the stability sufficient condition. Then a control design approach is presented via bilinear matrix inequalities (BMIs) method. The simulation result shows the effectiveness of the proposed approach.

scholarly journals Modeling and Output Feedback Control of Networked Control Systems with Both Time Delays; and Packet Dropouts

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Li Qiu ◽  
Qin Luo ◽  
Shanbin Li ◽  
Bugong Xu
Keyword(s):  
Control Systems ◽  
Output Feedback ◽  
Time Delays ◽  
Controller Design ◽  
Networked Control Systems ◽  
Feedback Controller ◽  
Networked Control ◽  
Random Time ◽  
Packet Dropouts ◽  
Output Feedback Controller

This paper is concerned with the problem of modeling and output feedback controller design for a class of discrete-time networked control systems (NCSs) with time delays and packet dropouts. A Markovian jumping method is proposed to deal with random time delays and packet dropouts. Different from the previous studies on the issue, the characteristics of networked communication delays and packet dropouts can be truly reflected by the unified model; namely, both sensor-to-controller (S-C) and controller-to-actuator (C-A) time delays, and packet dropouts are modeled and their history behavior is described by multiple Markov chains. The resulting closed-loop system is described by a new Markovian jump linear system (MJLS) with Markov delays model. Based on Lyapunov stability theory and linear matrix inequality (LMI) method, sufficient conditions of the stochastic stability and output feedback controller design method for NCSs with random time delays and packet dropouts are presented. A numerical example is given to illustrate the effectiveness of the proposed method.

scholarly journals Delay-Dependent Fuzzy Control of Networked Control Systems and Its Application

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Hongbo Li ◽  
Fuchun Sun ◽  
Zengqi Sun
Keyword(s):  
Control Systems ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Feedback Stabilization ◽  
Networked Control ◽  
Stability Conditions ◽  
The Stability ◽  
Delay Dependent ◽  
Takagi Sugeno

This paper is concerned with the state feedback stabilization problem for a class of Takagi-Sugeno (T-S) fuzzy networked control systems (NCSs) with random time delays. A delay-dependent fuzzy networked controller is constructed, where the control parameters are ndependent on both sensor-to-controller delay and controller-to-actuator delay simultaneously. The resulting NCS is transformed into a discrete-time fuzzy switched system, and under this framework, the stability conditions of the closed-loop NCS are derived by defining a multiple delay-dependent Lyapunov function. Based on the derived stability conditions, the stabilizing fuzzy networked controller design method is also provided. Finally, simulation results are given to illustrate the effectiveness of the obtained results.

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