Robust static output feedback variable structure control for nonlinear systems
Control and Instrumentation Research Group, Department of Engineering, University of Leicester, University Road, Leicester LE1 7RH, UK
In this paper, a robust stabilization problem for nonlinear systems is investigated using static output feedback. Matched and mismatched uncertainties are considered and their bounding functions take general forms. Based on a Lyapunov analysis approach and sliding mode techniques, some conclusions are presented. Then, a robust nonlinear variable structure control scheme is synthesized to stabilize the system globally, and it is not necessary for the nominal system to be linearizable globally. The conservatism is reduced by using uncertainty bounds in the control design. Finally, a massspring system is employed to illustrate the effectiveness of the results.
Keywords: nonlinear system; robust stabilization; Lyapunov analysis; sliding mode control; static output feedback.