Linear feedback approach to the stabilisation of uncertain discrete systems
Linear feedback approach to the stabilisation of uncertain discrete systems
- Author(s): A.A. Bahnasawi ; A.S. Al-Fuhaid ; M.S. Mahmoud
- DOI: 10.1049/ip-d.1989.0007
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): A.A. Bahnasawi 1 ; A.S. Al-Fuhaid 2 ; M.S. Mahmoud 1
-
-
View affiliations
-
Affiliations:
1: Electronics & Communications Engineering Department, Cairo University, Cairo, Egypt
2: Electrical & Computer Engineering Department, Kuwait University, Safat, Kuwait
-
Affiliations:
1: Electronics & Communications Engineering Department, Cairo University, Cairo, Egypt
- Source:
Volume 136, Issue 1,
January 1989,
p.
47 – 52
DOI: 10.1049/ip-d.1989.0007 , Print ISSN 0143-7054, Online ISSN 2053-793X
- « Previous Article
- Table of contents
- Next Article »
The paper presents a linear feedback approach to solve the stabilisation problem of linear discrete systems with additive-type bounded uncertainties. The approach is based on the linear quadratic (LQ) regulator theory and establishes that stable performance is guaranteed for the system but within a prescribed region of attraction. Both state-feedback and output-feedback schemes are developed to implement the proposed controller.
Inspec keywords: discrete systems; stability; optimal control; linear systems; feedback
Other keywords:
Subjects: Stability in control theory; Discrete control systems; Optimal control
References
-
-
1)
- G. Leitmann . Guaranteed asymptotic stability for some linear systems with bounded uncertainties. J. Dyn. Syst. Meas. & Control , 3 , 212 - 219
-
2)
- M.S. Mahmoud , M.G. Singh . (1984) , Discrete systems, analysis, control and optimization.
-
3)
- Bahnasawi, A.A., Mahmoud, M.S.: `On the uniform bounded stabilization of uncertain discrete systems', EE-Sys-015, Technical Report, 1987.
-
4)
- A.A. Bahnasawi , M.S. Mahmoud . (1988) , Stabilization of uncertain discrete systems via two-level controller structures.
-
5)
- B.R. Barmish , G. Leitmann . On ultimate boundedness control of uncertain systems in the absence of matching conditions. IEEE Trans. , 1 , 153 - 158
-
6)
- M.S. Mahmoud , A.A. Bahnasawi . Asymptotic stability for a class of linear discrete systems with bounded uncertainties. IEEE Trans.
-
7)
- B.R. Barmish . Stabilization of uncertain systems via linear control. IEEE Trans. , 8 , 848 - 850
-
8)
- B.D.O. Anderson , J.B. Moore . (1971) , Linear optimal control.
-
9)
- A.R. Galimidi , B.R. Barmish . The constrained Lyapunov problem and its application to robust output feedback stabilization. IEEE Trans. , 5 , 410 - 419
-
10)
- B.R. Barmish , I.R. Petersen , A. Feuer . Linear ultimate boundedness control of uncertain dynamical systems. Automatica , 5 , 523 - 532
-
11)
- Bahnasawi, A.A., Al-Fuhaid, A.S., Mahmoud, M.S.: `A new hierarchical control structure for a class of uncertain discrete systems', EE-Sys-012, Technical Report, 1988.
-
12)
- J.R. Leigh . (1985) , Applied digital control: theory, design and implementation.
-
13)
- Bahnasawi, A.A., Al-Fuhaid, A.S., Mahmoud, M.S.: `Stabilization of interconnected uncertain discrete systems via decentralized control', EE-Sys-011, Technical Report, 1988.
-
14)
- Bahnasawi, A.A., Al-Fuhaid, A.S., Mahmoud, M.S.: `Decentralized and hierarchical control of interconnected uncertain systems', EE-Sys-021, Technical Report, 1987.
-
15)
- M.J. Corless , G. Leitmann . Continuous state feedback guaranteeing uniform ultimateboundedness for uncertain dynamic systems. IEEE Trans. , 5 , 1139 - 1144
-
16)
- G. Leitmann . On the efficacy of nonlinear control in uncertain linear systems. J. Dyn. Syst. Meas. & Control , 2 , 95 - 102
-
1)