Semiglobal stabilization of saturated linear systems via multiple parametric Lyapunov equations
Date
2015
Authors
Wang, Qingling
Yu, Changbin (Brad)
Gao, Huijun
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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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International Journal of Robust and Nonlinear Control
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Journal article
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2037-12-31