Akademik Veri Yönetim Sistemi
WSEAS Transactions on Systems and Control, cilt.15, ss.11-18, 2020 (Scopus)
The aim of this paper is to develop a new approach for a solution of the model following control (MFC) problem with a dynamic compensator by using linear matrix inequalities (LMIs). The H∞ model following control problem is derived following LMI formulation. First, the H∞ optimal control problem is revisited by referring to Lemmas assuring all admissible controllers minimizing the H∞ norm of the transfer function between the exogenous inputs and the outputs. Then, the solvability condition and a design procedure for a two degrees of freedom (2 DOF) dynamic feedback control law is introduced. The existence of a 2 DOF dynamic output feedback controller for the model following control is proven and the stability of the closed-loop system is satisfied by assuring the Hurwitz condition. The benchmark thermal process (PT-326) as the first order process with time-delay is regulated by the presented 2 DOF dynamic output feedback controller. The simulation results illustrate that the presented controller regulates a system with dead-time as a large set of generic industrial systems and the H∞ norm of the closed-loop system is assured less than the H∞ norm of the desired model system.