Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions.
The generalised H2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. Us...
| Main Authors: | , |
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| Format: | |
| Language: | English |
| Published: |
2006
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| Online Access: | http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176110 |
| Summary: | The generalised H2 control problem is investigated for a class of discrete-time fuzzy
systems with uncertainties. The uncertain fuzzy dynamic model is used to represent a class of
uncertain discrete-time complex nonlinear systems which include both linguistic information
and system uncertainties. Using basis-dependent Lyapunov functions an H2 control design
approach is developed. It is shown that the controller can be obtained by solving a set of linear
matrix inequalities. It is also shown that the basis-dependent results are less conservative than
the basis-independent ones. Numerical examples including a discrete chaotic Lorenz system are
also given to demonstrate the applicability of the proposed approach. |
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