State-feedback with memory for controlled positivity with application to congestion control

Bolajraf, M.; Tadeo, Fernando; Álvarez, Teresa; Rami, Mustapha Ait

doi:10.1049/iet-cta.2009.0616

Cited by 31 publications

(16 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The constrained control of positive linear systems with multiple delays is investigated in [30,31]. The system states to the nonnegative orthant by state feedback with memory and memoryless controller are derived in reference [32,33]. The robust stabilization problems under constrained controls for system with interval and polytopic uncertainties are investigated in reference [34].…”

Section: Introductionmentioning

confidence: 99%

State Feedback with Memory for Constrained Switched Positive Linear Systems

Liu

Zhang

2015

Entropy

View full text Add to dashboard Cite

In this paper, the stabilization problem in switched linear systems with time-varying delay under constrained state and control is investigated. The synthesis of bounded state-feedback controllers with memory ensures that a closed-loop state is positive and stable. Firstly, synthesis with a sign-restricted (nonnegative and negative) control is considered for general switched systems; then, the stabilization issue under bounded controls including the asymmetrically bounded controls and states constraints are addressed. In addition, the results are extended to systems with interval and polytopic uncertainties. All the proposed conditions are solvable in term of linear programming. Numerical examples illustrate the applicability of the results.

show abstract

Section: Introductionmentioning

confidence: 99%

State Feedback with Memory for Constrained Switched Positive Linear Systems

Liu

Zhang

2015

Entropy

View full text Add to dashboard Cite

show abstract

“…To investigate the transient behavior of CHOKe, an explicit expression for flow throughput in transient regimes were derived in . The fluid‐flow dynamic model proposed in has been widely used to study the stability condition of TCP/AQM network , to tune the AQM parameters , to compare different AQM algorithms , and to design new AQM algorithms . A rate‐based second‐order fluid‐flow nonlinear dynamic model for the TCP/AQM network has been also developed in .…”

Section: Introductionmentioning

confidence: 99%

“…The self‐tuning PI controller for AQM proposed in uses the phase margin specification in the frequency domain to tune the control gains. The problem of designing the AQM controller for a TCP/IP network with delays, such that the closed‐loop system be positive, stable, and fulfill bounds on the system variables, was studied in . The control variable includes contributions from the state feedback with memory, which are the TCP window size and the queue length.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A compensated PID active queue management controller using an improved queue dynamic model

Kahe

Jahangir

Ebrahimi

2013

Int J Communication

View full text Add to dashboard Cite

SUMMARYBeside the major objective of providing congestion control, achieving predictable queuing delay, maximizing link utilization, and robustness are the main objectives of an active queue management (AQM) controller. This paper proposes an improved queue dynamic model while incorporating the packet drop probability as well. By applying the improved model, a new compensated PID AQM controller is developed for Transmission Control Protocol/Internet Protocol (TCP/IP) networks. The non‐minimum phase characteristic caused by Padé approximation of the network delay restricts the direct application of control methods because of the unstable internal dynamics. In this paper, a parameter‐varying dynamic compensator, which operates on tracking error and internal dynamics, is proposed to not only capture the unstable internal dynamics but also reduce the effect of uncertainties by unresponsive flows. The proposed dynamic compensator is then used to design a PID AQM controller whose gains are obtained directly from the state‐space representation of the system with no further gain tuning requirements. The packet‐level simulations using network simulator (ns2) show the outperformance of the developed controller for both queuing delay stability and resource utilization. The improved underlying model leads also to the faster response of the controller. Copyright © 2013 John Wiley & Sons, Ltd.

show abstract

“…We will focus on the main stability results (Bolajraf et al, 2009), (Bolajraf et al, 2010) on linear time-delay positive systems. We will also define the robuststability that guarantees a specified decay rate in front of possible uncertainties on the system.…”

Section: Positive Linear Systems With Time-delaymentioning

confidence: 99%

Robust stabilization and observation of positive Takagi-Sugeno systems

Zaidi¹

View full text Add to dashboard Cite

State-feedback with memory for controlled positivity with application to congestion control

Cited by 31 publications

References 18 publications

State Feedback with Memory for Constrained Switched Positive Linear Systems

State Feedback with Memory for Constrained Switched Positive Linear Systems

A compensated PID active queue management controller using an improved queue dynamic model

Robust stabilization and observation of positive Takagi-Sugeno systems

Contact Info

Product

Resources

About