Sliding-Mode Stabilization of SISO Bilinear Systems with Delays

In this chapter, we propose a sliding-mode controller for a class of scalar bilinear systems with delay in both the input and the state. Such systems have shown to be adequate for input–output modeling and control of a class of turbulent flow systems. Since the sliding dynamics is infinite dimensional and described by an integral equation, we show that the stability and robustness analysis is simplified by using Volterra operator theory.