Zhenfeng Chen, Yun Zhang, and Zhongsheng Wang
Non-aﬃne nonlinear systems, discrete-time systems, output feedback control, uncertainty
In this paper, the output feedback control is investigated for the general class of uncertain non-aﬃne nonlinear systems in discrete time. Feedback linearization is employed and a novel dynamic linear observer is built based on the measured output information, which can be used to estimate the unknown feedback linearization
error. The linear output feedback control is then developed based on the estimation information to stabilize the systems. The proposed control is robust to the modelling errors and of great signiﬁcance in engineering practice due to its simple linear control architecture.
Moreover, the ﬁx-point problem that is usually met in feedback linearization design for non-aﬃne nonlinear system is solved under a loose condition. Simulation results show the eﬀectiveness of the proposed control approach.