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This paper focuses on the problem of stabilization of nonlinear discrete-time systems with actuator saturation. Based on the idea of multiple Lyapunov function (MLF) and slack variables functional terms of the controller design method, the problem of estimating the domain of attraction of T-S fuzzy nonlinear discrete-time systems with actuator saturation under a state feedback law is formulated and...
This paper is concerned with the design problem of observer-based controllers for uncertain linear discrete-time systems. The proposed approach allows one to compute simultaneously the observer and controller gains by solving a single bilinear matrix inequalities(BMIs), which becomes an linear matrix inequalities(LMIs) without using any equality constraint or an iterative program. Numerical examples...
This paper deals with sufficient conditions of asymptotic stability for non linear discrete-time systems represented by Takagi-Sugeno type fuzzy model with restricted sign state. This work is based on multiple Lyapunov functions by using state feedback control. The results are presented in LMIs form. Non PDC techniques with slack variables and PDC techniques with cone complementarity are used to obtain...
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