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Robust stability and evaluation of the quality functional for nonlinear control systems

  • Robust and Adaptive Systems
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Abstract

We develop new methods of robust stability analysis for equilibrium states and optimization of nonlinear feedback control systems. For a family of nonlinear systems with uncertain matrices of coefficients and measurable output feedback we formulate sufficient stability conditions for the zero state with a general quadratic Lyapunov function. We propose a solution for the general robust stabilization and estimation problem for a quadratic performance index for a family of nonlinear systems. We show an example of a stabilization system for a single-link robot manipulator.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. G. Mazko

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  1. A. G. Mazko
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Correspondence to A. G. Mazko.

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Original Russian Text © A.G. Mazko, 2015, published in Avtomatika i Telemekhanika, 2015, No. 2, pp. 73–88.

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Mazko, A.G. Robust stability and evaluation of the quality functional for nonlinear control systems. Autom Remote Control 76, 251–263 (2015). https://doi.org/10.1134/S0005117915020058

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  • DOI: https://doi.org/10.1134/S0005117915020058

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