Development of multivariable PID controller gains in presence of measurement noise

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dc.contributor.author Saab, Samer S.
dc.date.accessioned 2019-07-23T11:27:41Z
dc.date.available 2019-07-23T11:27:41Z
dc.date.copyright 2017 en_US
dc.date.issued 2019-07-23
dc.identifier.issn 0020-7179 en_US
dc.identifier.uri http://hdl.handle.net/10725/11130
dc.description.abstract This paper examines the ability of a multivariable PID controller rejecting measurement noise without the use of any external filter. The work first provides a framework for the design of the PID gains comprising of necessary and sufficient conditions for boundedness of trajectories and zero-error convergence in presence of measurement noise. It turns out that such convergence requires time-varying gains. Subsequently, novel recursive algorithms providing optimal and sub-optimal time-varying PID gains are proposed for discrete-time varying linear multiple-input multiple-output (MIMO) systems. The development of the proposed optimal algorithm is based on minimising a stochastic performance index in presence of erroneous initial conditions, white measurement noise, and white process noise. The proposed algorithms are shown to reject measurement noise provided that the system is asymptotically stable and the product of the input–output coupling matrices is full-column rank. In addition, convergence results are presented for discretised continuous-time plants. Simulation results are included to illustrate the performance capabilities of the proposed algorithms. en_US
dc.language.iso en en_US
dc.title Development of multivariable PID controller gains in presence of measurement noise en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SOE en_US
dc.author.idnumber 199690250 en_US
dc.author.department Electrical And Computer Engineering en_US
dc.description.embargo N/A en_US
dc.relation.journal International Journal of Control en_US
dc.journal.volume 90 en_US
dc.journal.issue 12 en_US
dc.article.pages 2692-2710 en_US
dc.keywords Multivariable control en_US
dc.keywords Proportional–integral-derivative (PID) controller en_US
dc.keywords Discrete-time varying systems en_US
dc.keywords Stochastic optimisation en_US
dc.keywords Measurement noise en_US
dc.keywords Sampling rate en_US
dc.identifier.doi https://doi.org/10.1080/00207179.2016.1263760 en_US
dc.identifier.ctation Saab, S. S. (2017). Development of multivariable PID controller gains in presence of measurement noise. International Journal of Control, 90(12), 2692-2710. en_US
dc.author.email ssaab@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://www.tandfonline.com/doi/full/10.1080/00207179.2016.1263760 en_US
dc.orcid.id https://orcid.org/0000-0003-0124-8457 en_US
dc.author.affiliation Lebanese American University en_US

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