State dependent sliding sectors for nonlinear systems with nonlinear sliding surfaces

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Date

2013

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Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers Inc.

Abstract

The paper suggests a method to design sliding sector control for a class of nonlinear systems in which the system trajectories are kept around a nonlinear sliding surface. The sliding surface is designed by using State Dependent Riccati Equations where Algebraic Riccati Equations are solved for frozen system states. The solutions are used to create the nonlinear (or state dependent) sliding surface around which state dependent sliding sectors are formed. The nonlinear system trajectories are forced inside the sliding sector by using the so-called sliding sector control. The method is illustrated by applying it to a nonlinear inverted pendulum model. © 2013 AACC American Automatic Control Council.

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Keywords

Nonlinear systems , Riccati equations , Robust control , Algebraic Riccati equations , Inverted pendulum model , Nonlinear sliding surface , Sliding modes , Sliding surface , State-dependent Riccati equation , System trajectory , Variable structure system , Equations of state

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17388

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