H infinity Control of nonlinear discrete-time systems based on dynamical fuzzy models |
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Authors: | S G Cao N W Rees G Feng G Feng |
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Affiliation: | Curt-Risch-Institut , Universitat Hannover , Hannover 1, Federal, 3000 Republic of Germany |
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Abstract: | This paper presents a solution to H infinity 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 gamma 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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