Structural Engineering and Mechanics

  • 제27권5호
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  • Pages.527-540
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  • 2007
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Multi-stage design procedure for modal controllers of multi-input defective systems

  • Chen, Yu Dong (Department of Mechanics, Jilin University, Nanling Campus Changchun)
  • 투고 : 2006.03.29
  • 심사 : 2007.06.07
  • 발행 : 2007.11.30
⟨ 이전 논문 다음 논문 ⟩

초록

The modal controller of single-input system cannot stabilize the defective system with positive real part of repeated eigenvalues, because some of the generalized modes are uncontrollable. In order to stabilize the uncontrollable modes with positive real part of eigenvalues, the multi-input system should be introduced. This paper presents a recursive procedure for designing the feedback controller of the multi-input system with defective repeated eigenvalues. For a nearly defective system, we first transform it into a defective one, and apply the same method to manage. The proposed methods are based on the modal coordinate equations, to avoid the tedious mathematic manipulation. As an application of the presented procedure, two numerical examples are given at end of the paper.

키워드

과제정보

연구 과제 주관 기관 : National Science Foundation of China

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피인용 문헌

  1. Feedback control design for intelligent structures with closely-spaced eigenvalues vol.52, pp.5, 2014, https://doi.org/10.12989/sem.2014.52.5.903
  2. Bifurcations of non-semi-simple eigenvalues and the zero-order approximations of responses at critical points of Hopf bifurcation in nonlinear systems vol.40, pp.3, 2007, https://doi.org/10.12989/sem.2011.40.3.335