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Pole assignment for second-order systems

delete2002-01-01
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Eric King‐wah Chu *
DOI:10.1006/mssp.2001.1439delete
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摘要

摘要

En 中文
This paper contains some results for pole assignment problems for the second-order system Mx(t) + D(x) over dot (t) + Kx(t) = Bu(t). Specifically. Algorithm 0 constructs feedback matrices F, and F, such that the closed-loop quadratic pencil P-c(lambda) = lambda(2) M + lambda(D + BF2) + (K + BF1) has a desired set of eigenvalues and the associated eigenvectors are well-conditioned. The method is a modification of the SVD-based method proposed by Juang and Maghami [1, 2] which is a second-order adaptation of the well-known robust eigenvalue assignment method by Kautsky et al. [3] for first-order systems. Robustness is achieved by minimising some not-so-well-known condition numbers of the eigenvalues of the closed-loop second-order pencil. We next consider the partial pole assignment problem, In 1997. Datta. Elhay and Ram proposed three biorthogonality relations for eigenvectors of symmetric definite quadratic pencils [4]. One of these relations was used to derive an explicit solution to the partial pole assignment problem by state feedback for the related single-input symmetric definite second-order control system. The solution shed new light on the stabilisation and control of large flexible space structures. for which only one small subset of the spectrum needs to be reassigned while retaining the complementary part of the spectrum. In this paper. the method has been generalised for multi-input and non-symmetric quadratic pencils. Finally, we discuss briefly the output feedback pole assignment problem. (C) 2002 Elsevier Science Ltd.
Keyword:
LINEAR STATE FEEDBACK
2ND-ORDER MODELS
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期刊

Mechanical Systems and Signal Processing 封面图
Mechanical Systems and Signal Processing
IF:
8.9
论文数:
1.3W
被引数:
6.6W

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