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Sampled-data minimumH ∞-norm regulation of linear continuous-time systems using multirate-output controllers

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Abstract

This paper deals with the problem of designing multirate-output contrlleers for sampled-dataH ∞-optimal control of linear continuous-time systems. Two formulations of the problem are studied. In the first, the intersample behavior of the disturbance and the controlled output signals is not considered, whereas in the second the continuous-time nature of these signals is taken into account. It is shown that, in both cases and unter appropriate conditions, it is plausible to reduce the repective initial problem to an associated discrete-timeH ∞-optimization problem for which a fictitious static state feedback controller is to be designed. This fact has a beneficial influence on the theoretical and numerical complexity of the problem, since only one algebraic Riccati equation is to be solved here, as compared to two algebraic Riccati equations needed in known techniques concerning theH ∞-optimization problem with dynamic measurement feedback.

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Authors and Affiliations

  1. State Council of Greece, Greek Ministry of Justice, Athens, Greece

    K. G. Arvanitis (Director of Technical Services)

  2. Division of Computer Science, Department of Electrical and Computer Engineering, National Technical University of Athens, Athens, Greece

    P. N. Paraskevopoulos (Professor)

Authors
  1. K. G. Arvanitis
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  2. P. N. Paraskevopoulos
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Communicated by C. T. Leondes

The work described in this paper has been partially funded by the General Secretariat for Research and Technology of the Greek Ministry of Industry, Research, and Technology and by the Heracles General Cement Company of Greece.

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Arvanitis, K.G., Paraskevopoulos, P.N. Sampled-data minimumH ∞-norm regulation of linear continuous-time systems using multirate-output controllers. J Optim Theory Appl 87, 235–267 (1995). https://doi.org/10.1007/BF02192563

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