Digital Variable Sampling Integral Control of Infinite Dimensional Systems Subject to Input Nonlinearity

In this technical note we present a novel sampled-data low-gain I-control algorithm for infinite-dimensional systems in the presence of input nonlinearity. The system is assumed to be exponentially stable with invertible steady-state gain. We use an integral controller with fixed integrator gain, chosen on the basis of state gain information and a time varying sampling period determined by the growth bound of the system. We compare this new algorithm with two other algorithms one with fixed gain and sampling period, the other with time-varying gain.