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An optimal dynamic inversion approach for controlling a class of one-dimensional nonlinear distributed parameter systems

Padhi, Radhakant and Balakrishnan, SN (2006) An optimal dynamic inversion approach for controlling a class of one-dimensional nonlinear distributed parameter systems. In: American Control Conference 2006, JUN 14-16, 2006, Minneapolis, MN.

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Abstract

Combining the principles of dynamic inversion and optimization theory, a new approach is presented for stable control of a class of one-dimensional nonlinear distributed parameter systems, assuming the availability a continuous actuator in the spatial domain. Unlike the existing approximate-then-design and design-then-approximate techniques, here there is no need of any approximation either of the system dynamics or of the resulting controller. Rather, the control synthesis approach is fairly straight-forward and simple. The controller formulation has more elegance because we can prove the convergence of the controller to its steady state value. To demonstrate the potential of the proposed technique, a real-life temperature control problem for a heat transfer application is solved. It has been demonstrated that a desired temperature profile can be achieved starting from any arbitrary initial temperature profile.

Item Type: Conference Paper
Additional Information: Copyright 2006 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 26 Apr 2011 05:22
Last Modified: 26 Apr 2011 05:22
URI: http://eprints.iisc.ernet.in/id/eprint/37050

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