H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
This paper presents a solution to H1 control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discretetime dynamical fuzzy model. A suitable quadratic L yapunov function is used to establish asymptotic stability with an l2-norm bound of...
| Main Authors: | , , , |
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| Format: | |
| Language: | English |
| Published: |
1999
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| Online Access: | http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176113 |
| Summary: | This paper presents a solution to H1 control problem for a class of discrete-time
nonlinear systems. This class of nonlinear systems can be represented by a discretetime
dynamical fuzzy model. A suitable quadratic L yapunov function is used to establish
asymptotic stability with an l2-norm bound of the closed-loop system.
Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback
control law. The controller design algorithm involves solving a set of suitable algebraic
Riccati equations. An example is given to illustrate the application of the method. |
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