Numerical Stabilisation of Non-linear Systems: Exact Theory and Approximate Numerical lmplementation

摘要

In this paper, a theoretical background is presented for the stabilisation of non-linear systems. A numeri- cal implementation is then proposed. The class of systems concerned with the proposed practical approach is quite large and contains all flat systems as a particular subset. The stabilising strategy is based on path generation strategy and avoide the integration of the differential system. The numerical implementation extensively uses the interpolation on a function basis. Two examples of systems known to be hard to stabilise are given of illusirate the proposed algoriihm.