Parametric output feedback controller design

Roppenecker, G.; O’Reilly, J.

doi:10.1016/0005-1098(89)90079-4

Cited by 48 publications

(18 citation statements)

References 24 publications

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Section: Introductionmentioning

confidence: 99%

“…This is an open problem which has been widely discussed in the literature (Andry, Shapiro, & Chung, 1983;L. Chen & Clarke, 2009;Clarke & Griffin, 2004;Pomfret, Clarke, & Ensor, 2005;Roppenecker & O'Reilly, 1989;Srinathkumar, 1978;Zhao & Lam, 2016a, 2016b.Multirate control systems are those samplers and hold mechanisms that operate at more than one rate. Analysis and design methods for multirate control can be divided into two perspectives, the inferential control approach and the lifting approach (Tangirala, Li, Patwardhan, Shah, & Chen, August 10, 2016 International Journal of Control tCONguide 2001) which is the focus of this paper.…”

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confidence: 99%

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Increasing eigenstructure assignment design degree of freedom using lifting

Chen

Pomfret

Clarke

2016

International Journal of Control

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This paper presents the exposition of an output-lifting eigenstructure assignment (EA) design framework, wherein the available EA design degrees of freedom (DoF) is significantly increased, and the desired eigenstructure of a single-rate full state feedback solution can be achieved within an output feedback system. A structural mapping is introduced to release the output-lifting causality constraint. Additionally, the available design DoF can be further enlarged via involving the input-lifting into the output-lifting EA framework. The newly induced design DoF can be utilised to calculate a structurally-constrained, causal gain matrix which will maintain the same assignment capability. In this paper, the robustification of the output-lifting EA is also proposed, which allows a trade-off between performance and robustness in the presence of structured model uncertainties to be established. A lateral flight control benchmark in the EA literature and a numerical example are used to demonstrate the effectiveness of the design framework.Keywords: lifting; eigenstructure assignment; causality constraint IntroductionEigenstructure assignment (EA) is a mature technique for the design of control systems, especially for flight control system (Alireza & Batool, 2012;B. Chen & Nagarajaiah, 2007;Clake, Ensor, & Griffin, 2003;Farineau, 1989;Kshatriya, Annakkage, Hughes, & Gole, 2007;G. P. Liu & Patton, 1998;Y. Liu, Tan, Wang, & Wang, 2013;Moore, 1976;Ouyang, Richiedei, Trevisani, & Zanardo, 2012;Piou & Sobel, 1994, 1995Pomfret & Clarke, 2009;Shi & Patton, 2012;Wahrburg & Adamy, 2013;White, 1995;White, Bruyere, & Tsourdos, 2007). EA facilitates control system design by synthesizing a feedback gain matrix that exactly places the closed loop eigenvalues whilst matching the closed loop eigenvectors as closely as possible to a desired set. Some useful properties EA imbues on a system are: stability of response, appropriateness of transient response, decoupling of state or output response and disturbance rejection. Compared with many other competitive approaches exist to manipulate the eigenvalues of the closed-loop system and do not takes into account the role of the eigenvector, EA clearly exploits how system inputs affect mode dynamics and how these mode dynamics will be assigned to system states. Through defining a set of ideal closed-loop eigenstructure (e.g. eigenstructure which represents the realistic handling qualities of the flight control system), the realistic control effect will be guaranteed. In addition, the algorithm itself and the expression of the available design DoF can be highly visible. However, due to the lack of design DoF, e.g. the Kimura condition is not satisfied (Kimura, 1975), output feedback EA usually cannot fully assign the desired eigenstructure. This is an open problem which has been widely discussed in the literature (Andry, Shapiro, & Chung, 1983;L. Chen & Clarke, 2009;Clarke & Griffin, 2004;Pomfret, Clarke, & Ensor, 2005;Roppenecker & O'Reilly, 1989;Srinathkumar, 1978;Zhao & Lam, 2016a, 2016b.Mul...

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Increasing eigenstructure assignment design degree of freedom using lifting

Chen

Pomfret

Clarke

2016

International Journal of Control

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“…Spectrum assignment under Kimura's condition has been tackled in [16][17][18]. These references do not solve exactly equivalent problems since the desired spectrum is less constrained in [18].…”

Section: þ P4n (Kimura's Condition)mentioning

confidence: 98%

“…. ; ng; (15) Compute Z by (22); (16) Compute the product YZ by (32), extracting various matricesỸ i as in (25); (17) Compute matrices X i such that SpanðX 0 i Þ ¼ KerðỸ 0 i Þ; (18) Generically, X i is a row vector also denoted by x 0 i , otherwise choose a non-zero parameter b i such that…”

Section: Article In Pressmentioning

confidence: 99%

Non-iterative pole placement technique: A step further

Bachelier¹,

Mehdi²

2008

Journal of the Franklin Institute

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“…In particular, parameterizations of state feedback [10,[12][13][14] and output feedback controllers [1][2][3][4][5][6][7][8][9][10][14][15][16][17][18][19][20][21][22] have received much attention in recent years. The problem of eigenvalue assignment by static output feedback is rather a more difficult problem than that of state feedback, but is more crucial in most practical systems since state measurements may not be always possible.…”

Section: Introductionmentioning

confidence: 99%