a linear matrix inequality approach to discrete-time finite impulse response controller design for integrating time-delay processes

The present study proposes a short-term memory discrete-time finite impulse response (fir) controller design along with an optimized tuning method. to this end, the loop shaping scheme was employed in the framework of linear matrix inequalities (lmis) to adjust some characteristics of the open-loop frequency esponse such as phase margin and bandwidth to the desired values at appropriate frequencies. unlike theconventional methods whose functions are based on state-space models, the proposed procedure generates lmis directly in the frequency domain. the proposed controller design procedure was applied to several integrating time-delay systems to illustrate itsperformance, and the obtained results were compared with the results of some other competing methods.