DEAR: Delay-Guaranteed Energy Profile-Aware Routing Toward the Green Internet

Eun-Jung Lee,Young-Min Kim,Hong-Shik Park IEEE 2014 IEEE communications letters Vol.18 No.11

<P>The existing energy-efficient routing algorithms have limitations when considering energy profiles and delay guarantees. In order to overcome these limitations, a delay-guaranteed energy profile-aware routing (DEAR) algorithm is proposed for a green Internet. In order to achieve this, a delay-guaranteed least energy path problem is defined, and then, the DEAR algorithm that can heuristically determine the delay-guaranteed least energy path for a flow using the well-known ant colony optimization technique is proposed. The simulation results demonstrate that the energy efficiency of the DEAR algorithm is approximately two times higher than that of the GreenOSPF, whereas the DEAR guarantees delay requirements of the flows, although the network elements have various energy profiles.</P>

Rules Placement with Delay Guarantee in Combined SDN Forwarding Element

( Qinglei Qi ),( Wendong Wang ),( Xiangyang Gong ),( Xirong Que ) 한국인터넷정보학회 2017 KSII Transactions on Internet and Information Syst Vol.11 No.6

Recent studies have shown that the flow table size of hardware SDN switch cannot match the number of concurrent flows. Combined SDN Forwarding Element (CFE), which comprises several software switches and a hardware switch, becomes an alternative approach to tackle this problem. Due to the limited capacity of software switch, the way to route concurrent flows in CFE can largely affect the maximum delay that a flow suffers at CFE. As delay-guarantee is a nontrivial task for network providers with the increasing number of delay-sensitive applications, we propose an analytical model of CFE to evaluate a rules placement solution first. Next, we formulate the problem of Rules Placement with delay guarantee in CFE (RPCFE), and present the genetic-based rules placement (GARP) algorithm to solve the RPCFE problem. Further, we validate the analytical model of CFE through simulations in NS-3 and compare the performance of GARP with three benchmark algorithms.

Delay-dependent Robust and Non-fragile Guaranteed Cost Control for Uncertain Singular Systems with Time-varying State and Input Delays

김종해 제어·로봇·시스템학회 2009 International Journal of Control, Automation, and Vol.7 No.3

This paper considers the design problems of a delay-dependent robust and non-fragile guaranteed cost controller for singular systems with parameter uncertainties and time-varying delays in state and control input. The designed controller, under the possibility of feedback gain variations, can guarantee that a closed-loop system is regular, impulse-free, stable, an upper bound of guaranteed cost function, and non-fragility in spite of parameter uncertainties, time-varying delays, and controller fragility. The existence condition of the controller, the controller’s design method, the upper bound of guaranteed cost function, and the measure of non-fragility in the controller are proposed using the linear matrix inequality (LMI) technique. Finally, numerical examples are given to illustrate the effectiveness and less conservatism of the proposed design method.

Guaranteed Cost Control of Parameter Uncertain Systems with Time Delay

Kim, Jong-Hae Institute of Control 2000 Transaction on control, automation and systems eng Vol.2 No.1

In this paper, we deal with the problem of designing guaranteed cost state feedback controller for the generalized time-varying delay systems with delayed state and control input. The generalized time delay system problems solved on the basis of LMI(linear matrix inequality) technique considering time-varying delays. The sufficient condition for the existence of controller and guaranteed cost state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be reformulated as LMI forms in terms of transformed variables. Therefore, all solutions of LMIs, guaranteed cost controller gain, and guaranteed cost are obtained at the same time. The proposed controller design method can be extended into the problem of robust guaranteed cost controller design method for parameter uncertain systems with time-varying delays easily.

Study of Delay-Independent Decentralized Guaranteed Cost Control for Large Scale Systems

Chun-Xia Dou,Zhi-Sheng Duan,Xing-Bei Jia,Pei-Feng Niu 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.3

This study introduces delay independent decentralized guaranteed cost control design method based on two controller structures for nonlinear uncertain interconnected large scale systems with time delays. First, a set of equivalent Takagi-Sugeno (T-S) fuzzy models are extended to represent the systems. Then a decentralized state-feedback guaranteed cost performance controller is proposed for the fuzzy systems. Based on delay independent Lyapunov functional approach, some sufficient conditions for the existence of the controller can be cast into the feasible problem of LMIs irrespective of the sizes of the time delays so that the system can be asymptotically stabilized for all considered uncertainties whose sizes are not larger than their bounds. Finally, the minimizing approach is proposed to search the suboptimal upper bound value of guaranteed cost function. Moreover, the corresponding conditions are extended into the generalized dynamic output-feedback close-loop system. Finally, the better control performances of the proposed methods are shown by the simulation examples.

Robust mixed H_2/H_∞ guaranteed cost control of uncertain stochastic neutral systems

Weihua Mao,Feiqi Deng,Anhua Wan 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.5

In this paper, we deal with the robust mixed $H_2\hbox{/}H_{\infty}$ guaranteed-cost control problem involving uncertain neutral stochastic distributed delay systems. More precisely, the aim of this problem is to design a robust mixed $H_2\hbox{/}H_{\infty}$ guaranteed-cost controller such that the close-loop system is stochastic mean-square exponentially stable, and an $H_2$ performance measure upper bound is guaranteed, for a prescribed $H_{\infty}$ attenuation level $\gamma$. Therefore, the fast convergence can be fulfilled and the proposed controller is more appealing in engineering practice. Based on the Lyapunov-Krasovskii functional theory, new delay-dependent sufficient criteria are proposed to guarantee the existence of a desired robust mixed $H_2\hbox{/}H_{\infty}$ guaranteed cost controller, which are derived in terms of linear matrix inequalities (LMIs). Furthermore, the design problem of the optimal robust mixed $H_2\hbox{/}H_{\infty}$ guaranteed cost controller, which minimized an $H_2$ performance measure upper bound, is transformed into a convex optimization problem with LMIs constraints. Finally, two simulation examples illustrate the design procedure and verify the expected control performance.

ROBUST MIXED $H_2/H_{\infty}$ GUARANTEED COST CONTROL OF UNCERTAIN STOCHASTIC NEUTRAL SYSTEMS

Mao, Weihua,Deng, Feiqi,Wan, Anhua The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.5

In this paper, we deal with the robust mixed $H_2/H_{\infty}$ guaranteed-cost control problem involving uncertain neutral stochastic distributed delay systems. More precisely, the aim of this problem is to design a robust mixed $H_2/H_{\infty}$ guaranteed-cost controller such that the close-loop system is stochastic mean-square exponentially stable, and an $H_2$ performance measure upper bound is guaranteed, for a prescribed $H_{\infty}$ attenuation level ${\gamma}$. Therefore, the fast convergence can be fulfilled and the proposed controller is more appealing in engineering practice. Based on the Lyapunov-Krasovskii functional theory, new delay-dependent sufficient criteria are proposed to guarantee the existence of a desired robust mixed $H_2/H_{\infty}$ guaranteed cost controller, which are derived in terms of linear matrix inequalities(LMIs). Furthermore, the design problem of the optimal robust mixed $H_2/H_{\infty}$ guaranteed cost controller, which minimized an $H_2$ performance measure upper bound, is transformed into a convex optimization problem with LMIs constraints. Finally, two simulation examples illustrate the design procedure and verify the expected control performance.

Development of Mixed $H_2$/$H_{\infty}$ Controller Design Algorithms for Singular Systems with Time Delay

Kim, Jong-Hae Institute of Control 2001 Transaction on control, automation and systems eng Vol.3 No.3

In this paper, we consider the H$_2$(or guaranteed cost control) and H$_{\infty}$ controller design methods for singular(or descriptor) systems with input time delay. Also, a mixed H$_2$and H$_{\infty}$ controller design algorithm is treated by combination of the proposed H$_2$and H$_{\infty}$ controller design method. The sufficient conditions for the existence of controllers and controller design methods are introduced at each Lemma and Theorem. Furthermore, we present optimization problems to get the upper bound of performance measures. The proposed methods are checked by examples.

Guaranteed Cost Control of Linear Systems with Distributed Delays: A Complete Type Functionals Approach

Omar Santos,Sabine Mondié 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.3

The design of a control law guaranteeing an upper bound on the performance index of linear systems with point wise and distributed delay is addressed. The control law is computed through an iterative procedure: at each step, it is the solution that minimizes the Bellman type equation obtained from plugging in the functional of complete type associated to the closed loop system of the previous step. It is shown that at each step, the closed loop system remains into the class of systems with distributed delays, the stability of the closed loop is maintained, and the guaranteed cost does not increase. The allowed continuous time varying norm bounded uncertainties guaranteeing the cost are also char-acterized. An illustrative example validates the approach.

Guaranteed Cost Consensus for a Class of Fractional-order Uncertain Multi-agent Systems with State Time Delay

Liping Chen,Xiaomin Li,Xiang Li,Min Zhu,Ranchao Wu,António M. Lopes 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.11

This work investigates the guaranteed cost leader-following consensus of a class of uncertain fractionalorder (FO) multi-agent systems (FOMASs) affected by state time delay. The leader and following group are exposed to norm-bounded time-varying parametric uncertainty and time-delay. A delay- and order-dependent consensus protocol is developed which guarantees robust stability of the controlled system and ensures that the effect of uncertainty on the system performance is below some prescribed index. The FO Razumikhin theorem and the linear matrix inequality approach are adopted to derive the method that can be applied to FOMASs with deterministic parameters. The analysis can be extended to distinct consensus problems for different types of FOMASs. Three numerical examples illustrate the effectiveness and feasibility of the approach.