Parametric Design of Optimal Digital Controllers on the Basis of Global Optimization Algorithms

The problem of optimal digital controller design is considered for sampled-data systems under typical sector-type restrictions imposed on location of the closed loop poles. The set of admissible characteristic polynomials having a fixed degree is parameterized in terms of a real vector with elements in [0,1]. This idea makes it possible to use a two-level optimization procedure based on global optimization algorithms, which is sometimes more attractive than a local search.