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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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H ∞ control of singular systems via delta operator method
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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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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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Pole-assignment robustness in a specified disk
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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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The problem of assigning all poles of a closed-loop system in a specified disk by state feedback is considered for both continuous and discrete systems. A state feedback control law is determined by using a discrete Riccati equation. This kind of pole assignment problem is named D -pole assignment, and its relation to the optimal control ...
Pole assignment in a specified disk. The problem of assigning all poles of a closed-loop system in a specified disk by state feedback is considered for both continuous and discrete systems. A state feedback control law is determined by using a discrete Riccati equation. This kind of pole assignment problem is named D -pole assignment, and its ...
Abstract: This paper presents a method for assigning the poles in a specified disk by state feedback for a linear discrete or continuous time uncertain system, the uncertainty being norm bounded. For this the "quadratic d stabilizability" concept which is the counterpart of quadratic stabilizability in the context of pole placement is defined and a necessary and sufficient condition for ...
Pole-assignment robustness In this section, Theorem 1 is extended to the analysis of pole-assignment robustness for the lin- ear uncertain system (1) in a specified circular region. Theorem 2. All the poles of the perturbed system (1) will remain in the circle D (-e, f), if all the poles of A lie within a circle D (-e, f) and the following ...
Pole Assignment for Uncertain Systems in a Specified Disk by Output Feedback 155 control also exist and are developed below. Let G be a matrix-valued function. The Lebesgue space ~eaoo consists of all measurable functions G defined on the circle of center ~ and radius r denoted C(r, a) such that
In this paper the problem of pole assignment in a disk by output feedback for continuous-or discrete-time uncertain systems is addressed. A necessary and sufficient condition for quadratic d stabilizability by output feedback is presented. This condition is expressed in terms of two parameter-dependent Riccati equations whose solutions satisfy two extra conditions. An output d stabilization ...
Robust pole assignment in a specified union region using harmony search algorithm. In these cases, the applicable scopes are limited for the proposed methods. Another approach considers region robust pole assignment and it focuses on placing the desired poles in a pre-specified region of the complex plane and ensuring the poles of the closed ...
Regional pole assignment for uncertain delta-operator systems Man LIU 1'2 , Yuanwei JING 2 , Siying ZHANG 2 ( 1. Department of Mathematics, Dalian Nationalities University, Dalian Liaoning 116600, China; ... in a specified disk D(a, r) with center (a,O) and radius r as shown in Fig. 1, we first introduce the following lemma. y_ plane Fig. 1 ...
Among different ways for realizing the above problem, one of the most popular is robust pole assignment in a specified region [1]-[6]. Furuta and Kim [1] proposed a design method for assigning the closed loop poles in a specified disk based on gain and phase margins which is named -stability margin.
A method for pole assignment in a specified disk for linear feedback control systems based on the Riccati equation with norm-bounded uncertainty was studied in [33], [39]. However, the locations of poles within the specified disk are dependent on the matrices of the Riccati equation in this method. Chilali et al. summarized the methods of ...
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.
RAID5 disk arrays use the rebuild process to reconstruct the contents of a failed disk on a spare disk, but this process is unsuccessful if latent sector failures are encountered or a second disk failure occurs. The high cost of data loss has led to two-...
2016. TLDR. This paper presents a new approach to the problem of robust pole assignment in a circular region using novel global harmony search (NGHS) algorithm based on geometric principles, and the rules of dynamic selection of poles from the circular region are determined. Expand. Highly Influenced.
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 ...
In this paper, a method of pole assignment in H ∞ control theory is proposed. By this method, all the poles can be placed in a left half-plane or inside a disc on the complex plane and at the same time an H ∞ norm constraint is satisfied. This result can be derived by a bilinear transformation of the complex variable of a transfer function in H ∞ control theory.
Juang and Chen (1989), Rachid (1990) and Chou (1991) proposed some sufficient conditions for the robust pole-assignment of perturbed systems in a specified disk. However, the problem of assigning all poles in a specified disk D(-or, r) for large-scale systems with perturbations, also termed as robust disk- stability problem of large-scale ...
In this paper, the problem of pole assignment in a disk by output feedback for continuous or discrete-time uncertain systems is addressed. A necessary and sufficient condition for quadratic d stabilizability by output feedback is presented. This condition is expressed in terms of two parameter-dependent Riccati equations whose solutions satisfy two extra conditions. An output d stabilization ...
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In (3), another pole assignment method working with a spectral radius and a pulse transfer function is proposed. The procedure is simple, but it is used only for checking the positions of closed ...
A Pole Assignment in a Specified Disk by using Hamiltonian Properties @article{Nguyen1998APA, title={A Pole Assignment in a Specified Disk by using Hamiltonian Properties}, author={Van Giap Nguyen and Hwan-Seong Kim and Sang Bong Kim}, journal={Journal of Institute of Control Robotics and Systems}, year={1998}, volume={4}, pages={707-712}, url ...
A method for pole assignment in a specified disk for linear feedback control systems based on the Riccati equation with norm-bounded uncertainty was studied in [33], [39]. However, the locations of poles within the specified disk are dependent on the matrices of the Riccati equation in this method.
Pole-assignment robustness in a specified disk Author JYH-HORNG CHOU National Kaohsiung inst. technology, dep. mechanical eng., Kaohsiung 80782, Taiwan, Province of China Source. Systems & control letters. 1991, Vol 16, Num 1, pp 41-44 ; ref : 8 ref. CODEN
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