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Simulation results show effective and efficient improvement in system performance with these hybrid algorithms. To analyze the performance of these algorithms, time domain parameters and mean square error (MSE) has been taken as performance index. A comparative study of these algorithms with that of individual algorithms namely PSO, GWO, GSA has also been done.<\/jats:p>","DOI":"10.3233\/jifs-189760","type":"journal-article","created":{"date-parts":[[2021,3,2]],"date-time":"2021-03-02T13:03:57Z","timestamp":1614690237000},"page":"919-928","source":"Crossref","is-referenced-by-count":14,"title":["Hybrid optimization based PID control of ball and beam system"],"prefix":"10.1177","volume":"42","author":[{"given":"Vishal","family":"Srivastava","sequence":"first","affiliation":[{"name":"Division of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology (NSIT), University of Delhi, Sec-3, Dwarka, New Delhi, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Smriti","family":"Srivastava","sequence":"additional","affiliation":[{"name":"Division of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology (NSIT), University of Delhi, Sec-3, Dwarka, New Delhi, 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