- Title
- Robust stability and performance analysis of 2D mixed continuous-discrete-time systems with uncertainty
- Creator
- Chesi, Graziano; Middleton, Richard H.
- Relation
- Automatica Vol. 67, Issue May 2016, p. 233-243
- Publisher Link
- http://dx.doi.org/10.1016/j.automatica.2016.01.042
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2016
- Description
- 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∞ and H₂ norms can be obtained by introducing analogous Lyapunov functions depending rationally on the frequency. Some numerical examples illustrate the proposed methodology.
- Subject
- 2D systems; uncertainty; robust stability; robust performance
- Identifier
- http://hdl.handle.net/1959.13/1323044
- Identifier
- uon:24720
- Identifier
- ISSN:0005-1098
- Language
- eng
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