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

J. Palma*, L. Carvalho, T. Rosa, C. Morais, R. Oliveira

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
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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 - Sept-2018


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

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