Guaranteed Cost Control of Networked Control Systems Under Transmission Control Protocol with Active Queue Management

Self Cite

Distributed parameter networked control systems mean distributed parameter systems are controlled through a network, where the control loops are closed. In this paper, the problem of guaranteed cost and state feedback controller design is investigated for a class of distributed parameter networked control systems. With the network factors, such as transmission delays, data packet dropouts considered, the distributed parameter networked control system is modeled as a linear closed‐loop system with time‐varying delay and uncertain parameters. By selecting an appropriate Lyapunov‐Krasovskii function and using linear matrix inequality (LMI) approach, the controller is designed to render the system stable and it can keep the cost function less than a certain upper value. In addition, numerical simulation is included to demonstrate the theoretical results.

“…To analyze the stability of the system expediently, following lemmas are introduced.Lemma For any matrices W , M , N , F ( t ) with F T F ≤ I , and any scalar ε > 0, the inequality holds as:

\begin{matrix} lefttrue \\ W + MF (t) N + N^{T} F^{T} (t) M^{T} \\ \leq W + ε {italicMM}^{T} + ε^{- 1} N^{T} N . \end{matrix}

Lemma If η 1 ≤ η ( t ) ≤ η 2 , for any matrices Π 1 and Π 2 and Φ, the following inequalities are equivalent.

([], η ((), t) - η_{1}) Π_{1} + ([], η_{2} - η ((), t)) Π_{2} + normalΦ < 0;

([], η_{2} - η_{1}) Π_{1} + normalΦ < 0, ([], η_{2} - η_{1}) Π_{2} + normalΦ < 0 .

…”

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Guaranteed cost control of distributed parameter networked control systems with time‐varying delay

Zhu

2018

Self Cite

“…The proposed approach makes it possible to solve communication problems and control problems simultanously, thus contributing to a more efficient NCS design. The approach proposed in was used in to design a guaranteed cost control for transmission control protocol (TCP) and NCS.…”

Section: Introductionmentioning

confidence: 99%

Robust Stability and Stabilization Of TCP‐Networked Control Systems with Multiple Delay System Modeling

Azadegan

Beheshti

2017

This paper presents a new model for networked control systems (NCSs) under transmission control protocol (TCP) as a multiple‐delay system by considering both sensor to controller and controller to actuator delays. An analytical TCP model has been considered for the network part, and an active queue management (AQM) controller is designed to regulate the desired queue length, which ensures holding the network induced delay and its variation within their lower bounds. The model is assumed to possess structured uncertainties due to the stochastic nature of the network. Robust stability and stabilization conditions are derived in terms of linear matrix inequalities (LMIs) by applying the Lyapunov‐Krasovskii stability criterion. Illustrative examples are presented and it has been shown that the proposed method will obtain less conservative results compared to the existing approaches in the literature.

Command filtered backstepping control of multiple transmission control protocol/active queue management networks with user datagram protocol flows

Nie,

Wang,

Yan

et al. 2024

In this study, the congestion control problem for multiple transmission control protocol/active queue management (TCP/AQM) networks with user datagram protocol (UDP) flows is investigated. Taking the UDP stream as the unknown interference and the maximum interference is obtained by the minimax theorem. A novel control algorithm is designed for multi‐TCP/AQM networks through backstepping control and command filtered technology. Simulation studies are carried out to verify the effectiveness and feasibility of the proposed method.