This article discusses the issue of global dynamic output feedback stabilization for a class of high-order nonlinear systems. At first, an output feedback controller (OFC) is designed for the nominal system by virtue of adding one power integrator technique. Then, two dynamic gains are introduced into the proposed OFC to implement global stabilization of the closed-loop system. Moreover, the proposed method can be broadened to a family of high-order upper-triangular nonlinear systems. To the end, two examples are given to illustrate the effectiveness of the proposed method.
This article concentrates on the output feedback controller design for a class of stochastic nonlinear systems with unknown homogeneous growth rates. First, a full-order observer is proposed coupling with a dynamic gain so as to obtain system state estimates. Then, an adaptive output feedback controller is put forward by the homogeneity theory and adding a power integrator technique. Combined with the stochastic Barbalat’s lemma, the signals of the closed-loop system are demonstrated to be bounded and all the system states are proved to converge to the origin in probability. Besides, the results are also expanded to the controller design of upper-triangular stochastic nonlinear system. Two simulation results indicate usefulness of the designed control algorithm.
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