A Novel Approach to Hierarchical Control for Linear Time-Varying Large Scale Systems

In this Paper,a brief review of piecewise multiple Chebyshev Polynomials(PMCP)which were introduced by the authors[1.2.3.]has ben given and some new research results about PMCP have been investigated.The control of dynamic large scale syStem consists of two levels,in the first level,the Optimhation of N-subsystems by PMCP has been solved,and in the second level,the coordinate vectors were calculated by PMCP approalmate technique based on interactive predictive method. And a well-poed two-level algorithm for hierarchical control has been presented with itS advantageS of simplicity,convenience for computation and high ap proximation accuracy.An example has been given to demonstrate the validity of the proPosed method.