Abstract
In this paper the authors construct a new class of parameter-dependent Lyapunov functions to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalize the 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) |
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Pages (from-to) | 987-992 |
Number of pages | 6 |
Journal | IEEE Transactions on Automatic Control |
Volume | 43 |
Issue number | 7 |
DOIs | |
State | Published - 1998 |
Keywords
- Absolute stability
- Popov criterion
- Real parameter uncertainty
- Robust stabilization
- Time-varying uncertainty
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering