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Semi-global stabilization of discrete-time linear systems with unsymmetrical saturation
1College of Computer and Information Engineering, Tianjin Normal University, Tianjin 300387, China.
Abstract:
This paper deals with the stabilization problem for discrete-time linear system with unsymmetric saturation. To handle the structural properties of the unsymmetric saturation nonlinearity, the description of the transformation carries from the symmetric case to the unsymmetric case is employed. By using the parametric Lyapunov equation-based low gain feedback design approach, linear matrix inequality formulations for the state feedback and output feedback control design are given. The effectiveness of the proposed method is confirmed by numerical examples.
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