Ring pole assignment and variance-constrained synthetical control for random constant system

Abstract

By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed-loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.