Output Regulation in Differential Variational Inequalities using Internal Model Principle and Passivity-Based Approach |
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Authors: | Aneel Tanwani |
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Institution: | Department of Mathematics, Technical University of Kaiserslautern, Germany. |
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Abstract: | We consider the problem of designing state feedback control laws for output regulation in a class of dynamical systems where state trajectories are constrained to evolve within time-varying, closed, and convex sets. The first main result states sufficient conditions for existence and uniqueness of solutions in such systems. We then design a static state feedback control law using the internal model principle, which results in a well-posed closed-loop system and solves the regulation problem. As an application, we demonstrate how control input resulting from the solution of a variational inequality results in regulating the output of the system while maintaining polyhedral state constraints. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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