A quadratic programming approach to robust controller design

Abstract

The procedure of robust controller design by quadratic programming makes use of a stability measure defined as the minimal distance between a preselected stable simplex and vertices of the characteristic polynomial of an uncertain system. A constructive procedure for generating stable simplexes in polynomial coefficients space is given starting from the unit hypercube of reflection coefficients of monic polynomials. This procedure is quite straightforward: an appropriate stable point is chosen and then the edges of the stable simplex will be generated by reflection vectors of this polynomial.