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Generalized Asymptotic Regulation for LPV Systems with Additional Performance Objectives

  • Hakan Köroğlu
Chapter

Abstract

A generalized version of the asymptotic output regulation problem is considered for an LPV plant subject to bounded (yet infinite-energy) disturbances generated by an LPV exogenous system. The uncertain parameters affecting the plant are all assumed to be measurable during online operation. On the other hand, the exogenous system is allowed to have dependence on measurable as well as unmeasurable parameters. The goal in the basic generalized asymptotic regulation problem is to synthesize an LPV controller that guarantees the internal stability of the closed loop and that ensures a bound on the steady-state peak of an output for all admissible parameter trajectories. A solution can be obtained for this problem based on a set of parameter-dependent LMIs. This chapter provides the LMI conditions that guarantee the satisfaction of an additional performance objective imposed on a (possibly) different output signal. Two different types of additional constraints are considered: (1) a bound on the \({\mathcal{L}}_{2}\)-gain from a finite-energy disturbance input to the considered output; (2) an \({\mathcal{H}}_{2}\)-type average energy constraint on the considered output in response to impulsive disturbance inputs in different directions.

Keywords

Linear Matrix Inequality Transient Behavior Asymptotic Regulation Linear Time Invariant System Design Ingredient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The author acknowledges the support of King Fahd University of Petroleum and Minerals. He would also like to thank Prof. Carsten W. Scherer for many fruitful discussions.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Electrical Engineering DepartmentKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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