Quadratic guaranteed cost control with robust pole placement in a disk
Quadratic guaranteed cost control with robust pole placement in a disk
- Author(s): S.O. Reza Moheimani and I.R. Petersen
- DOI: 10.1049/ip-cta:19960058
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- Author(s): S.O. Reza Moheimani 1 and I.R. Petersen 1
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View affiliations
-
Affiliations:
1: Department of Electrical Engineering, Australian Defence Force Academy, Campbell, Australia
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Affiliations:
1: Department of Electrical Engineering, Australian Defence Force Academy, Campbell, Australia
- Source:
Volume 143, Issue 1,
January 1996,
p.
37 – 43
DOI: 10.1049/ip-cta:19960058 , Print ISSN 1350-2379, Online ISSN 1359-7035
The paper is concerned with the design of robust state feedback controllers for a class of uncertain systems with norm bounded uncertainty, where uncertainty enters in both the state and input matrices. The controller is designed to place the closed loop poles of the uncertain system in a specified disk and guarantees an upper bound on a quadratic cost function. A procedure is given for the construction of a controller which minimises a bound on an integral quadratic performance index.
Inspec keywords: closed loop systems; controllers; pole assignment; control system synthesis; robust control; uncertain systems; matrix algebra; state feedback
Other keywords:
Subjects: Stability in control theory; Controllers; Algebra; Control system analysis and synthesis methods
References
-
-
1)
- Bernussou, J., Garcia, G.: `Disk pole assignment for uncertain systems with norm bounded uncertainty', IFAC International Workshop on Robust Control, 1993, Cairns, Queensland, Australia.
-
2)
- K. Furuta , S.B. Kim . Pole assignment in a specified disk. IEEE Trans. , 423 - 427
-
3)
- T. Başar , P. Berhard . (1990) H.
-
4)
- W.M. Haddad , D.S. Bernstein . Controller design with regional pole constraints. IEEE Trans. , 54 - 69
-
5)
- I.R. Petersen , C.V. Hollot . A Riccati equation approach to the stabilization of uncertain linearsystems. Automatica , 397 - 411
-
6)
- Kaminer, I., Khargonekar, P.P., Rotea, M.A.: `Mixed H', Proceedings of the 1992 American Control Conference, 1992, Chicago, Ill.
-
7)
- K. Ogata . (1995) Discrete-time control systems.
-
8)
- I.R. Petersen , D.C. McFarlane . Optimal guaranteed cost control and filtering for uncertain linearsystems. IEEE Trans. , 9 , 1971 - 1977
-
9)
- I.R. Petersen , D.C. McFarlane , M. Mansour , S. Balemi , W. Truöl . (1992) Optimizing the guaranteed cost in the control of uncertainlinear systems, Robustness of dynamic systems with parameter uncertainties: proceedingsof the international workshop on robust control.
-
10)
- B. Wittenmark , R.J. Evans , Y.C. Soh . Constrained pole-placement using transformation andLQ-design. Automatica , 767 - 769
-
11)
- Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: `Linear matrix inequalities in system andcontrol theory', SIAM, 1994, Philadelphia, PA.
-
12)
- B.R. Barmish . Necessary and sufficient conditions for quadratic stabilizability ofan uncertain system. J. Optimization Theory Appl. , 4 , 399 - 408
-
13)
- A. Packard , J.C. Doyle . Quadratic stability with real and complex perturbations. IEEE Trans. , 2 , 198 - 201
-
14)
- C.E. de Souza , L. Xie . On the discrete-time bounded real lemma with application in the characterizationof static state feedback H∞ controllers. Syst. Control Lett. , 1 , 61 - 72
-
15)
- I.R. Petersen . A stabilization algorithm for a class of uncertain linear systems. Syst. Control Lett. , 351 - 357
-
16)
- Petersen, I.R., McFarlane, D.C., Rotea, M.A.: `Optimal guaranteed cost control of discrete-timeuncertain linear systems', Proceedings of the 12th IFAC World Congress, July 1993, I, Sydney, Australia, p. 407–410.
-
17)
- S.S.L. Chang , T.K.C. Peng . Adaptive guaranteed cost control of systems with uncertainparameters. IEEE Trans. , 4 , 474 - 483
-
1)
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