Dissipativity based distributed control synthesis

Tippett, Michael James; Bao, Jie

doi:10.1016/j.jprocont.2013.03.004

Cited by 29 publications

(8 citation statements)

References 36 publications

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“…The dynamics of the microgrid can be modeled as a networked switched system, with system matrices given by (26). The system parameters are provided in Table I [42,Appendix C].…”

Section: Case Study: Microgrid Networkmentioning

confidence: 99%

Distributed Synthesis of Local Controllers for Networked Systems With Arbitrary Interconnection Topologies

Agarwal

Sivaranjani

Antsaklis

2021

IEEE Trans. Automat. Contr.

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We consider the problem of designing distributed controllers to guarantee dissipativity of a networked system comprised of dynamically coupled subsystems. We require that the control synthesis is carried out locally at the subsystem-level, without explicit knowledge of the dynamics of other subsystems in the network. We solve this problem in two steps. First, we provide an approach to decompose a dissipativity condition on the networked dynamical system into equivalent conditions on the dissipativity of individual subsystems. We then use these distributed dissipativity conditions to synthesize controllers locally at the subsystem-level, using only the knowledge of the dynamics of that subsystem, and limited information about the dissipativity of the subsystems to which it is dynamically coupled. We show that the subsystem-level controllers synthesized in this manner are sufficient to guarantee dissipativity of the networked dynamical system. We also provide an approach to make this synthesis compositional, that is, when a new subsystem is added to an existing network, only the dynamics of the new subsystem, and information about the dissipativity of the subsystems in the existing network to which it is coupled are used to design a controller for the new subsystem, while guaranteeing dissipativity of the networked system including the new subsystem. Finally, we demonstrate the application of this synthesis in enabling plugand-play operations of generators in a microgrid by extending our results to networked switched systems.

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“…The dynamics of the microgrid can be modeled as a networked switched system, with system matrices given by (26). The system parameters are provided in Table I [42,Appendix C].…”

Section: Case Study: Microgrid Networkmentioning

confidence: 99%

Distributed Synthesis of Local Controllers for Networked Systems With Arbitrary Interconnection Topologies

Agarwal

Sivaranjani

Antsaklis

2021

IEEE Trans. Automat. Contr.

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“…The disadvantage of this is that there is some restriction on the topology of the controller communication network. A related approach, which uses dynamic supply rates as a more general form of dissipativity is presented [96,97] . An advantage of this approach is that the more general supply rates allow for sharper stability and minimum performance bounds as compared to (Q, S, R) supply rates.…”

Section: Dissipativity and Passivity Based Dpcmentioning

confidence: 99%

Distributed control of chemical process networks

Tippett

Bao

2015

Int. J. Autom. Comput.

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Abstract:In this paper, we present a review of the current literature on distributed (or partially decentralized) control of chemical process networks. In particular, we focus on recent developments in distributed model predictive control, in the context of the specific challenges faced in the control of chemical process networks. The paper is concluded with some open problems and some possible future research directions in the area.

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“…In this work, such conditions are developed based on concept of dissipativity. Being an input and output property of dynamical systems [24,25], dissipativity was found useful for stability design for feedback systems (e.g., [26,27]) and was recently applied to develop plantwide interaction analysis and distributed control approaches (e.g., [28][29][30][31]). In this paper, microgrid-wide performance and stability are represented as microgrid dissipativity conditions that in turn are translated into the constraints that each BACS controller has to satisfy.…”

Section: Introductionmentioning

confidence: 99%

A Novel Distributed Economic Model Predictive Control Approach for Building Air-Conditioning Systems in Microgrids

2018

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Abstract:With the penetration of grid-connected renewable energy generation, microgrids are facing stability and power quality problems caused by renewable intermittency. To alleviate such problems, demand side management (DSM) of responsive loads, such as building air-conditioning system (BACS), has been proposed and studied. In recent years, numerous control approaches have been published for proper management of single BACS. The majority of these approaches focus on either the control of BACS for attenuating power fluctuations in the grid or the operating cost minimization on behalf of the residents. These two control objectives are paramount for BACS control in microgrids and can be conflicting. As such, they should be considered together in control design. As individual buildings may have different owners/residents, it is natural to control different BACSs in an autonomous and self-interested manner to minimize the operational costs for the owners/residents. Unfortunately, such "selfish" operation can result in abrupt and large power fluctuations at the point of common coupling (PCC) of the microgrid due to lack of coordination. Consequently, the original objective of mitigating power fluctuations generated by renewable intermittency cannot be achieved. To minimize the operating costs of individual BACSs and simultaneously ensure desirable overall power flow at PCC, this paper proposes a novel distributed control framework based on the dissipativity theory. The proposed method achieves the objective of renewable intermittency mitigation through proper coordination of distributed BACS controllers and is scalable and computationally efficient. Simulation studies are carried out to illustrate the efficacy of the proposed control framework.

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Dissipativity based distributed control synthesis

Cited by 29 publications

References 36 publications

Distributed Synthesis of Local Controllers for Networked Systems With Arbitrary Interconnection Topologies

Distributed Synthesis of Local Controllers for Networked Systems With Arbitrary Interconnection Topologies

Distributed control of chemical process networks

A Novel Distributed Economic Model Predictive Control Approach for Building Air-Conditioning Systems in Microgrids

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