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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Invariant Sets of Nonlinear Discrete Systems with Bounded Disturbances and Control Problems

Volume 41, Issue 11, 2009, pp. 1-16
DOI: 10.1615/JAutomatInfScien.v41.i11.10
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ABSTRACT

The paper consists of two interdependent parts. In the first part we calculate the upper-bound estimates of invariant sets and their radii for the class of nonstationary linear discrete systems and certain nonlinear discrete systems under bounded disturbances with the given a priori set-values estimates. In the second part, based on the calculated upper-bound estimates of the radii of invariant sets, we synthesize the control that minimizes these estimates for the closed-loop systems with a feedback.

CITED BY
  1. Kuntsevich A. V., Kuntsevich V. M., Control synthesis for invariant sets of families of linear and nonlinear discrete systems with bounded disturbances, Cybernetics and Systems Analysis, 47, 4, 2011. Crossref

  2. Sergienko I. V., Chikrii A. A., Developing B. N. Pshenichnyi’s scientific ideas in optimization and mathematical control theory, Cybernetics and Systems Analysis, 48, 2, 2012. Crossref

  3. Witczak Piotr, Witczak Marcin, Korbicz Jozef, A quadratic boundedness approach to adaptive simultaneous sensor and actuator fault estimation, 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR), 2016. Crossref

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