Control of unstable systems a polynomial approach

Abstract

The contribution is focused on control, design and simulation of unstable systems. The feedback is the most important tool how to change the properties of the controlled plant. The appropriate choose of the controller design then can convert an originally unstable system into a stable feedback system. This process is called stabilization. A suitable and effective tool can be found in algebraic methods. The paper adopts the notion of the ring of polynomials and Diophantine equations in this ring. Controllers are obtained via solutions of Diophantine equations for first and second order systems. A Matlab, Simulink program implementation was developed for simulation and verification of the studied approach. Illustrative example supports simplicity and effectivity of the proposed methodology.