Global sampled-data stabilization via static output feedback for a class of nonlinear uncertain systems

This paper proposes some novel compensating strategies in output feedback controller design for a class of nonlinear uncertain system. With Euler approximation introduced for unmeasured state and coordinate transformation constructed for continuous system, sampled-data stabilization under arbitrary sampling period is firstly realized for linear system using compensation between sampling period and scaling gain. Then global sampled-data stabilization for a class of nonlinear system is studied using linear feedback domination of Lyapunov functions. Extension of obtained results to three-dimensional system or systems under general assumptions are also presented. With the compensation schemes proposed in controller design, the sufficiently small sampling period or approximating step previously imposed is not required any more. The proposed controllers can be easily implemented using output measurements sampled at the current step and delayed output measurements sampled at the previous step without constructing state observers which has been illustrated by the numerical studies.

Automated summary

This paper proposes novel compensating strategies in output feedback controller design for a class of nonlinear uncertain system. The compensation schemes eliminate the need for a sufficiently small sampling period or approximating step previously imposed, and allow for easy implementation of the proposed controllers using output measurements sampled at the current step and delayed output measurements sampled at the previous step without constructing state observers. The results have been illustrated through numerical studies.