Study comparative in two control design methods for stabilizing discrete time
نویسندگان
چکیده
The two control design methods for stabilizing discrete time systems are based on the notion of exact linearization with diffemorphism and feedback. On the one hand, the first method consists in developing a polynomial control law based on the exact linearization approach. This approach was developed by considering the concept of relative degree. On the other hand, the second method is based on the methodology of control by state-return for which there is a linearizing transformation of the looped system. These approaches are based on the reversing trajectory method in order to estimate the asymptotic stability region around an operating point. The effectiveness of the suggested methods is tested by numerical examples of the CSTR chemical reactor described by a strongly non-linear model. Keywords— Input-output feedback linearization, Polynomial Nonlinear System, Asymptotic Stability Region, Reversing Trajectory Method, Discrete-Time.
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