Robust stability and evaluation of the quality functional for linear control systems with matrix uncertainty-Reference-Cited by-同舟云学术

Robust stability and evaluation of the quality functional for linear control systems with matrix uncertainty

Published:2020 Issue:3 Volume:99 Page:55-65
ISSN:2522-4433
Container-title:Scientific journal of the Ternopil national technical university
language:
Short-container-title:Visnyk TNTU

Author:

Aliluiko A.^ORCID,Ruska R.^ORCID

Abstract

New methods of robust stability analysis for equilibrium states and optimization of linear dynamic systems are developed. Sufficient stability conditions of the zero state are formulated for a linear control systems with uncertain coefficient matrices and measurable output feedback. In addition, a general quadratic Lyapunov function and ellipsoidal set of stabilizing matrices for the feedback amplification coefficients are given. Application of the results is reduced to solving the systems of linear matrix inequalities.

Publisher

Ternopil Ivan Puluj National Technical University

Reference13 articles.

1. Polyak B. T., Shcherbakov P. S. Robastnaya ustoychivost' i upravlenie. Moskva: Nauka, 2002. 303 p. [In Russian].

2. Zhou K., Doyle J. C., Glover K. Robust and optimal control, Englewood, Prentice Hall, 1996, 596 p.

3. Balandin D. V., Kogan M. M. Sintez zakonov upravleniya na osnove linejnyx matrichnyx neravenstv. Moskva: Fizmatlit, 2007. 280 p. [In Russian].

4. Kuncevich V. M. Upravlenie v usloviyax neopredelennosti: garantirovannye rezul'taty v zadachax upravleniya i identifikacii. Kiev: Nauk. Dumka, 2006, 264 p. [In Russian].

5. Mazko A. G. Robust stability and evaluation of the quality functional for nonlinear control systems. Automation and Remote Control. Vol. 76. No. 2. 2015. P. 251-263.

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