Output Feedback Stabilization of a Class of Non-affine Nonlinear Systems in Discrete Time

In this paper, output feedback control is investigated for a general class of uncertain non-affine nonlinear systems in discrete time. Control system design employs feedback linearization, coupled with a novel filter which is built to estimate the feedback linearization error. Output feedback control is then developed to stabilize the systems by utilizing the estimation. In the control design, implicit function theorem and the mean value theorem are exploited to handle the difficulty of non-affine appearance of the control input. The proposed control is of great significance in engineering practice due to its linear control architecture, high dynamic performance, clear physical meanings and robustness to the modeling errors.