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LQ Decentralized Controllers with Disturbance Rejection Property for Hierarchical Systems

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Abstract

In the control literature, an interconnected system is often referred to a system with a collection of interacting subsystems [1]. In terms of the interaction topology between the subsystems, the class of hierarchical interconnected systems has drawn special attention in recent publications due to its broad applications such as formation flying, underwater vehicles, automated highway, robotics, satellite constellation, etc., which have leader-follower structures or structures with virtual leaders [2, 3, 4, 5, 6]. It is shown in [2] that even if a continuous-time interconnected system does not have a hierarchical structure, under certain conditions its discrete-time equivalent model can be transformed to a hierarchical form. For such a system, it is normally desired to design a set of local controllers corresponding to the individual subsystems, which partially exchange their information [4, 7]. This demand is originated from some practical limitations concerning, for instance, the geographical distribution of the subsystems or the computational complexity associated with a centralized controller [8]. The case when these local controllers operate independently (i.e., they do not interact with each other), is referred to as decentralized feedback control [9, 10, 11].

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Authors and Affiliations

  1. Control & Dynamical Systems Dept., California Institute of Technology, Mail Code 107-81, 91125, Pasadena, California, USA

    Somayeh Sojoudi & Javad Lavaei

  2. Dept. Electrical & Computer Engineering, Concordia University, 1455 de Maisonneuve Blvd. West, EV005.139, H3G 1M8, Montreal Québec, Canada

    Amir G. Aghdam

Authors
  1. Somayeh Sojoudi
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  2. Javad Lavaei
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  3. Amir G. Aghdam
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Correspondence to Somayeh Sojoudi .

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Sojoudi, S., Lavaei, J., Aghdam, A.G. (2011). LQ Decentralized Controllers with Disturbance Rejection Property for Hierarchical Systems. In: Structurally Constrained Controllers. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1549-8_7

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  • DOI: https://doi.org/10.1007/978-1-4419-1549-8_7

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