Dynamic Pricing Control for Constrained Distribution Networks With Storage

Bürger, Mathias; Persis, Claudio De; Allgöwer, Frank

doi:10.1109/tcns.2014.2367572

Cited by 11 publications

(12 citation statements)

References 22 publications

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“…, and´j has the double-scroll (chaotic) attractor (see, for instance, [32, figure 6] and [33, figure 23]). The Chua's circuit (17) is of the form (16), and its linear part satisfies the passivity requirements A > P C PA 6 0 and PB D C > with P D diag.1=c 1 ; 1; 1=c 2 /. Moreover, the piecewise linear function .…”

Section: Propositionmentioning

confidence: 99%

“…where x i WD OEx i;1 I x i;2 2 R 2 and 2 R is a positive constant. If we define A WD OE0 1I 1 0, B WD OE0I 1, C WD OE0 1, and .y i / WD .x 3 i;2 =3 x i;2 /, then (18) is of the form (16) and satisfies all the required properties with P D I 2 . Thus, the Van der Pol oscillator (18) is iOFP and satisfies the ISS property given in (15).…”

Section: Computer Simulation: Van Der Pol Oscillatorsmentioning

confidence: 99%

“…Previously, passivity-based internal model controllers were proposed to deal with formation control problem with unknown reference velocity [14]. Furthermore, passivity and internal model controllers play a role in the control of dynamical networks when the constraints and optimality considerations must be also taken into account [11,15,16].Motivated by the works discussed earlier, we study the output synchronization problem of incrementally output-feedback passive (iOFP) nonlinear systems, defined on an undirected graph but affected by exogenous systems that generate external disturbances. Two different structures of distributed controllers are handled in this paper.…”

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confidence: 99%

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confidence: 99%

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Adaptation and disturbance rejection for output synchronization of incrementally output–feedback passive systems

Kim

Persis

2017

Intl J Robust & Nonlinear

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Summary This paper addresses the output synchronization problem of incrementally output–feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed: one placed at the nodes and the other placed at the edges. Each of them is synthesized on the basis of the adaptive control method to cope with the shortage of passivity and on the internal model principle to deal with the disturbances. The proposed controllers synchronize the outputs of the nonlinear systems when the solution of the closed‐loop system is bounded. On the basis of this, we present a class of systems for which the boundedness of the solutions is guaranteed. The analysis used in this paper is also applicable to a case where systems are coupled via links modeled by dynamical systems. Simulation results of a network of Van der Pol oscillators show the effectiveness of the proposed methods. Copyright © 2017 John Wiley & Sons, Ltd.

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Section: Propositionmentioning

confidence: 99%

Section: Computer Simulation: Van Der Pol Oscillatorsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Adaptation and disturbance rejection for output synchronization of incrementally output–feedback passive systems

Kim

Persis

2017

Intl J Robust & Nonlinear

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“…In fact, given the increasing amount of available data and the speed at which markets operate, feedback control is starting to play an increasingly important role in the setting of dynamic pricing. Adaptive pricing has applications in smart grids, intelligent transportation networks, and data allocation in networks . In all these applications, a common feature is the absence of a precise mathematical model, which makes learning tools necessary to generate an optimal pricing.…”

Section: Conclusion Open Questions and Challengesmentioning

confidence: 99%

Hybrid online learning control in networked multiagent systems: A survey

Poveda

Benosman

Teel

2018

Adaptive Control & Signal

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This survey paper studies deterministic control systems that integrate three of the most active research areas during the last years: (1) online learning control systems, (2) distributed control of networked multiagent systems, and (3) hybrid dynamical systems (HDSs). The interest for these types of systems has been motivated mainly by two reasons: First, the development of cheap massive computational power and advanced communication technologies, which allows to carry out large computations in complex networked systems, and second, the recent development of a comprehensive theory for HDSs that allows to integrate continuous-time dynamical systems and discrete-time dynamical systems in a unified manner, thus providing a unifying modeling language for complex learning-based control systems. In this paper, we aim to give a comprehensive survey of the current state of the art in the area of online learning control in multiagent systems, presenting an overview of the different types of problems that can be addressed, as well as the most representative control architectures found in the literature. These control architectures are modeled as HDSs, which include as special subsets continuous-time dynamical systems and discrete-time dynamical systems. We highlight the different advantages and limitations of the existing results as well as some interesting potential future directions and open problems. KEYWORDSadaptive control, hybrid dynamical systems, learning, multiagent systems, networked systems 228One of the fields where control systems with learning and adaptation have recently seen increased attention is in the area of networked multiagent systems (MAS), 16,17 which are systems comprised of multiple interacting subsystems, each subsystem having individual dynamics and computational capabilities as well as limited sensing, communication, and actuation. Depending on the structure of the underlying communication graph between the agents of the system, MAS can be centralized or decentralized. In a centralized MAS, there exists one central agent which has access to the state information of all other agents and which is able to compute the control action for all agents of the system. On the other hand, in a decentralized or distributed MAS, agents individually compute their own control signals, which are shared with a subset of the other agents characterized by a communication graph. Figure 1 illustrates three MASs with different communication graphs. Centralized MASs are typically not scalable, and they present the disadvantage of having a single point of failure that could potentially shut down the complete system. 16 Decentralized and distributed systems, on the other hand, are scalable and more robust, and in nonstationary environments, they allow for adaptation and self-organization of the system. 18 Recent technological advances in communication and computation have made MAS ubiquitous, and today, they can be found in several engineering systems such as in power generation and distribution systems, 19-21 teams of ...

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An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages

2016

Self Cite

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This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution networks and address it using incremental passivity and distributed internal-model-based controllers. Incremental passivity enables a systematic approach to study convergence to the steady state with zero frequency deviation and to design the controller in the presence of time-varying voltages, whereas the internal-model principle is applied to tackle the uncertain nature of the loads.

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Dynamic Pricing Control for Constrained Distribution Networks With Storage

Cited by 11 publications

References 22 publications

Adaptation and disturbance rejection for output synchronization of incrementally output–feedback passive systems

Adaptation and disturbance rejection for output synchronization of incrementally output–feedback passive systems

Hybrid online learning control in networked multiagent systems: A survey

An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages

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