Control of Delay Systems – a Meromorphic Function Approach

Systems with delay terms at the left (and the right) side of differential equations are addressed. Analysis and synthesis of delay systems can be conveniently studied through a special ring of RQ-meromorphic functions. The control methodology is based on the solution of Diophantine equations in this ring. Final controllers result in the Smith predictor like structure. A scalar parameter is defined as a „tuning knob“ for controller parameters and control behaviour. A simple pole-assignmentlike tuning idea is utilized. First and second order cases are derived for illustration and simulation.