A novel multiplier approach for robust controller design in discrete-time systems with real, time-varying parametric uncertainty is presented. An important feature of our approach is that bounds on the rate of variation of the uncertain parameters are assumed and, unlike in most related approaches,
Robust stabilization for discrete-time systems with slowly time-varying uncertainty
β Scribed by Wassim M. Haddad; Vikram Kapila
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 585 KB
- Volume
- 333
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
In this paper we construct a new class of parameter-dependent L yapunov functions
for discrete-time systems to guarantee robust stability in the presence of time-varying raterestricted plant uncertainty. Extensions to a class of time-varyin 9 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-varyin 9 real parameters.
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