State feedback sliding mode control SFSMC with pole assignment for single input bilinear systems

This paper presents a method of synthesizing the state feedback sliding mode controller SFSMC for single-input bilinear systems. The existence of the sliding mode is synthesized by the Lyapunov stability criterion. The sliding surface is designed using the pole assignment method. Here, the novel contribution is that system quality has been tuned by only adjusting one parameter which is completely independent of system dynamics and states. The simulation indicates that the system is stable, and its states converge to zero. The system phase trajectory quickly settles when the parameter is well adjusted.