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A convergent algorithm for computing stabilizing static output feedback gains

delete2004-12-01
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Jen‐te Yu
DOI:10.1109/TAC.2004.838482delete
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Abstract

Abstract

En 中文
We revisit the approach by Cao et al. that uses a fixed-structure control law to find stabilizing static output feedback gains for linear time-invariant systems. By performing singular value decomposition on the output matrix, together with similarity transformations, we present a new stabilization method. Unlike their results that involve a difficult modified Riccati equation whose solution is coupled with other two intermediate matrices that are difficult to find, we obtain Lyapunov equations. We present a convergent algorithm to solve the new design equations for the gains. We will show that our new approach, like theirs, is a dual optimal output feedback linear quadratic regulator theory. Numerical examples are given to illustrate the effectiveness of the algorithm and validate the new method.
Keywords:
dual linear quadratic regulator (LQR)
Lyapunov equation
modified Riccati equation
static output feedback
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Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

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