Robust stabilization for discrete-time systems with slowly time-varying uncertainty

Wassim M. Haddad; Vikram Kapila

doi:10.1016/0016-0032(95)00087-9

Robust stabilization for discrete-time systems with slowly time-varying uncertainty

Wassim M. Haddad, Vikram Kapila

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we construct a new class of parameter-dependent Lyapunov functions for discrete-time systems to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalizes the discrete-time multivariable Popov criterion are also considered. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters.

Original language	English (US)
Pages (from-to)	71-84
Number of pages	14
Journal	Journal of the Franklin Institute
Volume	333
Issue number	1
DOIs	https://doi.org/10.1016/0016-0032(95)00087-9
State	Published - Jan 1996

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/0016-0032(95)00087-9

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abstract = "In this paper we construct a new class of parameter-dependent Lyapunov functions for discrete-time systems to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalizes the discrete-time multivariable Popov criterion are also considered. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters.",

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Robust stabilization for discrete-time systems with slowly time-varying uncertainty

Abstract

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