{"title":"Model Predictive Control with Unscented Kalman Filter for Nonlinear Implicit Systems","authors":"Takashi Shimizu, Tomoaki Hashimoto","volume":139,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":148,"pagesEnd":153,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10009365","abstract":"A class of implicit systems is known as a more
\r\ngeneralized class of systems than a class of explicit systems. To
\r\nestablish a control method for such a generalized class of systems, we
\r\nadopt model predictive control method which is a kind of optimal
\r\nfeedback control with a performance index that has a moving
\r\ninitial time and terminal time. However, model predictive control
\r\nmethod is inapplicable to systems whose all state variables are not
\r\nexactly known. In other words, model predictive control method is
\r\ninapplicable to systems with limited measurable states. In fact, it
\r\nis usual that the state variables of systems are measured through
\r\noutputs, hence, only limited parts of them can be used directly. It is
\r\nalso usual that output signals are disturbed by process and sensor
\r\nnoises. Hence, it is important to establish a state estimation method
\r\nfor nonlinear implicit systems with taking the process noise and
\r\nsensor noise into consideration. To this purpose, we apply the model
\r\npredictive control method and unscented Kalman filter for solving
\r\nthe optimization and estimation problems of nonlinear implicit
\r\nsystems, respectively. The objective of this study is to establish a
\r\nmodel predictive control with unscented Kalman filter for nonlinear
\r\nimplicit systems.","references":"[1] T. Hashimoto, Y. Yoshioka, T. Ohtsuka, Receding Horizon Control with\r\nNumerical Solution for Thermal Fluid Systems, Proceedings of SICE\r\nAnnual Conference, pp. 1298-1303, 2012.\r\n[2] T. Hashimoto, Y. Takiguchi and T. Ohtsuka, Receding Horizon Control\r\nfor High-Dimensional Burgersf Equations with Boundary Control\r\nInputs, Transactions of the Japan Society for Aeronautical and Space\r\nSciences, Vol. 56, No.3, pp. 137-144, 2013.\r\n[3] R. Satoh, T. Hashimoto and T. Ohtsuka, Receding Horizon Control for\r\nMass Transport Phenomena in Thermal Fluid Systems, Proceedings of\r\nAustralian Control Conference, pp. 273-278, 2014.\r\n[4] T. Hashimoto, Optimal Feedback Control Method Using Magnetic Force\r\nfor Crystal Growth Dynamics, International Journal of Science and\r\nEngineering Investigations, Vol. 4, Issue 45, pp. 1-6, 2015.\r\n[5] T. Hashimoto, Y. Yoshioka, T. 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