H-2 and H-infinity State-Feedback Control Through Multi-Hop Networks: Trade-Off Analysis Between the Network Load and Performance Degradation

Palma, J., Carvalho, L., Rosa, T., Morais, C. & Oliveira, R., Sep-2018, In : Ieee latin america transactions. 16, 9, p. 2377-2384 8 p.

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  • H-2 and H-infinity State-Feedback Control Through Multi-Hop Networks

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  • J. Palma
  • L. Carvalho
  • T. Rosa
  • C. Morais
  • R. Oliveira

This paper is concerned with the H-2 and H-infinity control problems in networked control framework, dealing specifically with cases where the communication between the components is made via a multi-hop network susceptible to packet loss, which is modeled by a Markov chain with Bernoulli distribution. The aim is to investigate the trade-off between the network resource saving and the closed-loop performance degradation in the context of state-feedback control. The performance of the control design is measured by means of the H-2 and H-infinity norms. Two main topics are evaluated: i) The influence of the initial probability distribution on the design of the controller; and ii) The relationship between the expected value of the output signal energy and the probability of successful transmissions (associated with the maximum allowable transmission per data packet) for a given transport scheme and a given performance criterion. The results are applied in a case study based on a linearized numerical model of the Furuta's inverted pendulum.

Original languageEnglish
Pages (from-to)2377-2384
Number of pages8
JournalIeee latin america transactions
Issue number9
Publication statusPublished - Sep-2018


  • Networked control systems, H-2 and H-infinity state-feedback control, Multi-hop network, Semi-reliable communication network, Markov jump linear systems, JUMP LINEAR-SYSTEMS

ID: 94900918