{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T09:11:59Z","timestamp":1648977119958},"reference-count":23,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2014,9,4]],"date-time":"2014-09-04T00:00:00Z","timestamp":1409788800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Struct. Comp. Sci."],"published-print":{"date-parts":[[2014,10]]},"abstract":"<jats:p>It is difficult to design a controller directly for non-square multi-variable systems with time delay. In the current paper, we propose a new design method for an Internal Model Control PID controller based on a modified effective open-loop transfer function (MEOTF) for non-square processes with time delay. The MEOTF method is used to decompose the complex non-square process into several equivalent independent single-input\/single-output processes. Using the Taylor Particle Swarm Optimisation (Taylor-PSO) model reduction method, the MEOTF of the non-square process is approximated by a reduced order form. The reduced form of the MEOTF is then used to design the Internal Model Control PID controller, which is then used for the original non-square process. To improve the robust stability, a first-order filter is added in the feedback loop. Finally, we present simulation results showing the validity and reliability of this method. In particular, our method has a strong anti-interference characteristic and retains its good control performance in the presence of model perturbation and interference.<\/jats:p>","DOI":"10.1017\/s0960129513000753","type":"journal-article","created":{"date-parts":[[2014,9,5]],"date-time":"2014-09-05T00:08:51Z","timestamp":1409875731000},"source":"Crossref","is-referenced-by-count":0,"title":["The design of an IMC-PID controller based on MEOTF and its application to non-square processes with time delay"],"prefix":"10.1017","volume":"24","author":[{"given":"QIBING","family":"JIN","sequence":"first","affiliation":[]},{"given":"LITING","family":"CAO","sequence":"additional","affiliation":[]},{"given":"KUN","family":"HE","sequence":"additional","affiliation":[]},{"given":"KEWEN","family":"WANG","sequence":"additional","affiliation":[]},{"given":"BEIYAN","family":"JIANG","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,9,4]]},"reference":[{"key":"S0960129513000753_ref10","first-page":"200","volume-title":"Matrix Theory and Application","author":"Liu","year":"2003"},{"key":"S0960129513000753_ref4","volume-title":"A Discipline of Programming","author":"Dijkstra","year":"1976"},{"key":"S0960129513000753_ref3","first-page":"17","article-title":"Multivariable tuning regulators: The feed forward and robust control of a general servo mechanism problem","volume":"20","author":"Davison","year":"1976","journal-title":"IEEE Transactions on Automatic Control"},{"key":"S0960129513000753_ref19","first-page":"922","article-title":"Independent design of multi-loop PI\/PID controllers for interacting multivariable processes","volume":"20","author":"Vu","year":"2010","journal-title":"Acta Automatica Sinica"},{"key":"S0960129513000753_ref7","unstructured":"Jin Q. 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