Abstract
In designing a control system of the plant where only the input and the output can be measured, it is desirable to use the adaptive control synthesis approaches. However, most of those approaches can not apply to the plant with the limitation of input amplitude, because those studies are usually done without any limitation of input amplitude.
For such a case, by introducing the dispersion filter, we have proposed the adaptive control scheme for a time-invariant discrete scalar system with the limitation of input amplitude. However, this scheme required the inversion of the dispersion filter to construct the adaptive feedback loop.
In order to overcome the above difficulties, this paper presents the approach by the use of a polynomial algebraic method for constructing an adaptive control system of the time-invariant discrete scalar system with the limitation of input amplitude. Simulation results of a third-order unstable system with the limitation of input amplitude are included at the end of paper in order to verify the effectiveness of the propose scheme.
