Nonlinear optimal control for the quadruple water tank system

G. Rigatos, G. Cuccurullo, P. Siano, K. Busawon, Masouda Abbaszadeh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A nonlinear optimal control approach is developed for the quadruple water tank system. Approximate linearization around a temporary operating point is applied to the nonlinear dynamic model of the four water tanks which are fed by two pumps. The linearization makes use of Taylor series expansion and of the calculation of the system's Jacobian matrices. For the approximately linearized model of the four water-tank system an H-infinity feedback controller is designed. This controller stands for the solution of the nonlinear optimal control problem for the system under model uncertainty and external perturbations. For the computation of the controller's feedback gain an algebraic Riccati equation is iteratively solved at each time-step the control method. The global asymptotic stability properties of the control method are proven through Lyapunov analysis.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019
EditorsTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440258
DOIs
Publication statusPublished - 24 Nov 2020
EventInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 - Rhodes, Greece
Duration: 23 Sept 201928 Sept 2019

Publication series

NameAIP Conference Proceedings
Volume2293
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019
Country/TerritoryGreece
CityRhodes
Period23/09/1928/09/19

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