A non-conservative state feedback control methodology for linear systems with state delay

This paper deals with the state feedback control for linear systems in presence of delay using a direct numerical design methodology. The algorithm iteratively searches solution space controller parameters to find proper gain that guarantees delay-independent stability closed-loop system. divides some simplexes, selects one simplex and evaluates two checking methods on this simplex. first method checks stabilisability corner points (to establish feasible point) other detects total infeasibility (total de-stabilisability) omit undesired parts). One interesting property is its capability detecting de-stabilisability through points. If none these successful, divided into smaller ones which will be checked next algorithm’s iterations. According search nature, non-conservative assuredly reaches stabilizable point space. proposed previous are evaluated set random generated compare feasibility methods. Simulation results reveal superiority algorithm.