Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
695156 | Automatica | 2016 | 11 Pages |
Abstract
This paper investigates 2D mixed continuous–discrete-time systems whose coefficients are polynomial functions of an uncertain vector constrained into a semialgebraic set. It is shown that a nonconservative linear matrix inequality (LMI) condition for ensuring robust stability can be obtained by introducing complex Lyapunov functions depending polynomially on the uncertain vector and a frequency. Moreover, it is shown that nonconservative LMI conditions for establishing upper bounds of the robust H∞H∞ and H2H2 norms can be obtained by introducing analogous Lyapunov functions depending rationally on the frequency. Some numerical examples illustrate the proposed methodology.
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Control and Systems Engineering
Authors
Graziano Chesi, Richard H. Middleton,