Semiglobal stabilization of saturated linear systems via multiple parametric Lyapunov equations

Date

2015

Authors

Wang, Qingling
Yu, Changbin (Brad)
Gao, Huijun

Journal Title

Journal ISSN

Volume Title

Publisher

John Wiley & Sons Inc

Abstract

This paper investigates the problem of semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems. To retain the advantages of the parametric Lyapunov equation, matrix-partitioning idea is used to derive a new pole shift lemma. Starting from system matrix transformations, a recursive algorithm is proposed to shift every eigenvalue of a linear system separately without mode decomposition in each step. A new method introducing various parameters to every Lyapunov equation in each step is presented. As an application, the semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems can be achieved by this method. Finally, its effectiveness and advantages are demonstrated via a simulation example.

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Citation

Source

International Journal of Robust and Nonlinear Control

Type

Journal article

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2037-12-31
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