Distributed H&lt;inf&gt;2&lt;/inf&gt; control of multi-agent dynamic systems: Continuous-time case

Ghadami, Rasoul; Shafai, B.

doi:10.1109/acc.2010.5530637

Cited by 13 publications

(8 citation statements)

References 9 publications

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“…• Reformulate the nonlinear system using the technique proposed in Section IV and determine the other matrices given in equation (4). • Solve the linear matrix equality given in [17] to obtain G 11 , H 11 , R i , S i and V i in equation (6). • The controller is given by equations (5) and (6).…”

Section: Discussionmentioning

confidence: 99%

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Distributed control scheme to regulate power flow and minimize interactions in multiple microgrids

Hossain

Mahmud

Pota

et al. 2014

2014 IEEE PES General Meeting | Conference &Amp; Exposition

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In this paper, a distributed controller is designed for regulating power flow among multiple microgrids in islanded modes with variable renewable energy sources (RESs) while minimizing dynamic interactions. The controller is designed in such a way that it has the capability of gathering information from the neighboring microgrids. This paper also analyzes the dynamic interactions among multiple interconnected microgrids during an islanded mode of operation based on the detailed dynamical model of microgrids. Both modal analysis and nonlinear simulations are used to identify the critical issues that might degrade the stability under different operating conditions. From the simulation results, it is found that multiple microgrids operated with local controllers can significantly affect the stability and damping performance. The proposed control scheme is implemented on a test distribution system with multiple microgrids and time-domain simulations are performed to verify its effectiveness of the control scheme. It is found that the designed controller provides excellent performance in minimizing the negative interactions through the regulation of power flow among multiple microgrids in the islanded mode.

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Section: Discussionmentioning

confidence: 99%

“…where G 11 , H 11 , R i , S i and V i are the optimization variables which are determined using the linear matrix inequality (LMI) as described in [17]. It is assumed that each microgrid can only communicate with its nearest neighbors and the Laplacian matrix is chosen as:…”

Section: Control Strategymentioning

confidence: 99%

Distributed control scheme to regulate power flow and minimize interactions in multiple microgrids

Hossain

Mahmud

Pota

et al. 2014

2014 IEEE PES General Meeting | Conference &Amp; Exposition

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“…Lin et al [21] presented conditions under which all agents reach consensus with the desired

H_{\infty}

performance based on the reduced‐order system. Ghadami and Shafai [22] formulated and solved the distributed control problem for continuous‐time systems with

H_{2}

performance. With the aid of special transformation and Kronecker calculus, it is possible to derive explicit expression for computing the parameters of state and dynamic feedback by solving a set of linear matrix inequalities.…”

Section: Introductionmentioning

confidence: 99%

Consensus controllers for general integrator multi‐agent systems: analysis, design and application to autonomous surface vessels

Dong

Zhang

2018

IET Control Theory & Applications

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“…V. Gupta [13] and Y. Jia [15] considered the LQG problems of networks of dynamical agents. When the systems are disturbed by Gaussian noises, the designs were synthesized under H 2 criteria for robust [25,26,31]. On another aspect of H 2 control, the recent paper [30] studied guaranteed cost problem for multi-agent systems with actuator faults and uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Distributed H2/H∞ Consensus Control for Multi-agent Systems with Directed Graph and Actuator Uncertainty

Ao¹,

Jia²

2018

Int J Comput Softw Eng

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In this work, single-integrator multi-agent directed networks with energy bounded disturbances and Guassian white noises are considered in term of H 2 and H ∞ performance. Meanwhile actuator uncertainty is also the concern of H ∞ performance. Distributed control law of undetermined parameters is proposed. By using H 2 /H ∞ theory and linear algebra, the problem is transformed into a non-convex optimization problem on diagonal matrices. Numerical iterative algorithms with consideration on both feasibility and conservatism are presented.

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Distributed H<inf>2</inf> control of multi-agent dynamic systems: Continuous-time case

Cited by 13 publications

References 9 publications

Distributed control scheme to regulate power flow and minimize interactions in multiple microgrids

Distributed control scheme to regulate power flow and minimize interactions in multiple microgrids

Consensus controllers for general integrator multi‐agent systems: analysis, design and application to autonomous surface vessels

Distributed H2/H∞ Consensus Control for Multi-agent Systems with Directed Graph and Actuator Uncertainty

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