Title :
Digital Variable Sampling Integral Control of Infinite Dimensional Systems Subject to Input Nonlinearity
Author_Institution :
Dept. of Math., Balikesir Univ., Balkesir
fDate :
6/1/2009 12:00:00 AM
Abstract :
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.
Keywords :
control nonlinearities; multidimensional systems; sampled data systems; sampling methods; time-varying systems; digital variable sampling integral control; exponentially stable; fixed integrator gain; infinite dimensional systems; input nonlinearity; integral controller; sampled-data low-gain I-control algorithm; state gain information; steady-state gain; time varying sampling period; time-varying gain; Control nonlinearities; Control systems; Gain; Integral equations; Nonlinear control systems; Robust control; Sampling methods; Steady-state; Time varying systems; Transfer functions; Infinite dimensional systems; input nonlinearities; integral control; robust tracking; steady-state gain matrix; variable sampling;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2015555