pole assignment in a specified disk

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Pole assignment in a disk for linear systems by static output feedback

• Author(s): G. Garcia ; S. Tarbouriech ; J.M. Gomes Da Silva ; E.B. Castelan
• DOI:  10.1049/ip-cta:20041009

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• Author(s): G. Garcia 1 ; S. Tarbouriech 1 ; J.M. Gomes Da Silva 2 ; E.B. Castelan 3
• Affiliations: 1: L.A.A.S.- C.N.R.S., Toulouse Cedex 4, France 2: UFRGS - Department of Electrical Engineering, Porto Alegre, Brazil 3: DAS-CTC-UFSC, Florianopolis, Brazil
• Source: Volume 151, Issue 6 , November 2004, p. 706 – 712 DOI:  10.1049/ip-cta:20041009 , Print ISSN 1350-2379 , Online ISSN 1359-7035
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A systematic approach for pole assignment in a disk for continuous or discrete-time linear systems using a static output control law is proposed. It is shown that if the open-loop system satisfies certain structural conditions, a static output feedback gain can be easily computed, using a formula that simply involves the original system matrices and the parameters that define the disk. Among the conditions the system has to satisfy, the key one relies on a minimum phase argument. Square and non-square, proper and non-proper systems are considered. The main results are derived invoking the limiting behaviour of the optimal linear quadratic regulator for discrete-time systems. Some other implications are also presented.

Inspec keywords: feedback ; open loop systems ; linear quadratic control ; continuous time systems ; linear systems ; pole assignment ; discrete time systems ; matrix algebra

Other keywords: open-loop systems ; discrete-time systems ; static output feedback ; optimal linear quadratic regulator ; continuous-time systems ; linear systems ; disk pole assignment

Subjects: Control system analysis and synthesis methods ; Algebra ; Discrete control systems ; Optimisation techniques ; Optimal control

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Regional pole assignment for uncertain delta-operator systems

• Published: November 2004
• Volume 2 , pages 406–410, ( 2004 )

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• Man Liu 1 , 2 ,
• Yuanwei Jing 2 &
• Siying Zhang 2  

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The pole assignment in a specified disk by state feedback for uncertain delta-operator systems is studied. By making use of algebra Riccati equations, a sufficient and necessary condition of pole assignment for a kind of parameter uncertain delta-operator system in a specified disk by state feedback is presented. And the design method of state feedback controller is also developed. The proposed method can unify some previous related results of continuous and discrete time systems into the delta framework. The efficiency of the design method is illustrated by a numerical example.

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Department of Mathematics, Dalian Nationalities University, 116600, Dalian Liaoning, China

School of Information Science and Engineering, Northeastern University, 110004, Shenyang Liaoning, China

Man Liu, Yuanwei Jing & Siying Zhang

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This work was supported by the National Science Foundation of China (No. 60274009) and Specialized Research Fund for the Doctoral Program of Higher Education (No. 20020145007)

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Liu, M., Jing, Y. & Zhang, S. Regional pole assignment for uncertain delta-operator systems. J. Control Theory Appl. 2 , 406–410 (2004). https://doi.org/10.1007/s11768-004-0048-0

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Received : 02 August 2004

Revised : 21 September 2004

Issue Date : November 2004

DOI : https://doi.org/10.1007/s11768-004-0048-0

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• Zhai J Gao L Li S (2015) Robust pole assignment in a specified union region using harmony search algorithm Neurocomputing 10.1016/j.neucom.2014.12.072 155 :C (12-21) Online publication date: 1-May-2015 https://dl.acm.org/doi/10.1016/j.neucom.2014.12.072
• Kim J Hong S Park S (2010) LMI-based robust flight control of an aircraft subject to CG variation International Journal of Systems Science 10.1080/00207720903260135 41 :5 (585-592) Online publication date: 1-May-2010 https://dl.acm.org/doi/10.1080/00207720903260135
• Haraguchi K Nagamochi H (2007) Extension of ICF classifiers to real world data sets Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems 10.5555/1769938.1770036 (776-785) Online publication date: 26-Jun-2007 https://dl.acm.org/doi/10.5555/1769938.1770036
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Pole-assignment robustness in a specified disk

Systems & control letters . 1991, Vol 16, Num 1, pp 41-44 ; ref : 8 ref

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• DOI: 10.1016/0167-6911(91)90027-C
• Corpus ID: 120554345

Pole-assignment robustness in a specified disk

• Published 1991
• Engineering, Mathematics
• Systems & Control Letters

88 Citations

Robustness of pole-assignment in a specified circular region, robustness of regional pole placement for uncertain continuous-time implicit systems, robust pole assignment in a specified union region using harmony search algorithm, robust d-stability for linear uncertain discrete time-delay systems, robust pole region placement for linear structured uncertain systems, constrained pole assignment robustness, robust d-stability analysis of linear uncertain discrete time-delay systems, robustness of disk-stability for perturbed large-scale systems, robust pole region assignment for structural linear multivariable uncertain systems, d-stability for perturbed discrete systems with time delay, 5 references, robustness of pole assignment in a specified region for perturbed systems, pole assignment in a specified disk, discrete optimal control with eigenvalue assigned inside a circular region, robustness of discrete systems under structured uncertainties, pole placement in a specified region based on a linear quadratic regulator, related papers.

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