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We introduce a new nonlinear control method to globally asymptotically stabilize a class of uncertain nonlinear systems. First, we provide a system reconfiguration method which reconfigures the nonlinear systems with smooth positive functions. Then, we provide a nonlinear controller design method to globally asymptotically stabilize the reconfigured systems by utilizing Lyapunov equations. As a result, a class of uncertain nonlinear systems which have not been treated in the existing results can be globally asymptotically stabilized by our control method. Examples are given for easy following and illustration.
Ho-Lim CHOI Jin-Soo KIM Jae-Seung YOUN Kwon Soon LEE
We consider a problem of global asymptotic stabilization of a class of feedforward nonlinear systems that have the unknown linear growth rate and unknown input delay. The proposed output feedback controller employs a dynamic gain which is tuned adaptively by monitoring the output value. As a result, a priori knowledge on the linear growth rate and delay size are not required in controller design, which is a clear benefit over the existing results.
We consider a problem of global asymptotic stabilization of a class of nonlinear systems that have the unknown linear growth rate. While the existing results only deal with one specified form of nonlinear systems, our proposed method includes both forms of triangular and feedforward nonlinear systems in a unified framework. The proposed controller has a dynamic gain mechanism which is selectively engaged based on the given nonlinear form. Then, the dynamic gain is adaptively tuned depending on the unknown linear growth rate.