Control of linear discrete-time systems by quantised feedback
Control of linear discrete-time systems by quantised feedback
- Author(s): M.S. Mahmoud
- DOI: 10.1049/iet-cta.2012.0206
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): M.S. Mahmoud 1
-
-
View affiliations
-
Affiliations:
1: Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
-
Affiliations:
1: Systems Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
- Source:
Volume 6, Issue 13,
6 September 2012,
p.
2095 – 2102
DOI: 10.1049/iet-cta.2012.0206 , Print ISSN 1751-8644, Online ISSN 1751-8652
In this study the authors, we investigate the problem of designing quantised ℋ∞ feedback control for a class of discrete-time systems with and without bounded uncertainties. The quantiser has arbitrary form. A linear matrix inequality-based method using static and dynamic quantised output-feedback controller are designed to render the closed-loop system asymptotically stable with guaranteed γ-level. The authors illustrate the theoretical developments by numerical simulations.
Inspec keywords: asymptotic stability; control system synthesis; linear systems; discrete time systems; H∞ control; linear matrix inequalities; closed loop systems; feedback; numerical analysis
Other keywords:
Subjects: Optimal control; Linear algebra (numerical analysis); Discrete control systems; Control system analysis and synthesis methods; Stability in control theory
References
-
-
1)
- B.C. Zheng , G.H. Yang . Quantized feedback stabilization of planar systems via switching-based sliding-mode control. IET Control Theory Appl. , 1 , 149 - 156
-
2)
- F. Fagnani , S. Zampieri . Stability analysis and synthesis for scalar linear systems with a quantized feedback. IEEE Trans. Autom. Control , 9 , 1569 - 1584
-
3)
- S. Boyd , L.E. Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in system and control theory.
-
4)
- D. Liberzon . Hybrid feedback stabilization of systems with quantized signals. Automatica , 9 , 1543 - 1554
-
5)
- X. Luan , P. Shi , F. Liu . Stabilization of networked control systems with random delays. IEEE Trans. Ind. Electron. , 9 , 4323 - 4330
-
6)
- M.S. Mahmoud , A.Y. Al-Rayyah , Y. Xia . Quantized feedback stabilization of interconnected continuous time-delay systems. IMA J. Math. Control Inf. , 1 , 1 - 17
-
7)
- J. Yan , Y. Xia , B. Liu , M. Fu . Stabilization of quantized linear systems with packet dropouts. IET Control Theory Appl. , 8 , 982 - 989
-
8)
- M.S. Mahmoud . Improved networked-control systems approach with communication constraint. IMA J. Math. Control Inf. , 2 , 215 - 233
-
9)
- M. Fu , L. Xie . The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control. , 11 , 1698 - 1711
-
10)
- R.W. Brockett , D. Liberzon . Quantized feedback stabilization of linear systems. IEEE Trans. Autom. Control. , 7 , 1279 - 1289
-
11)
- H. Li , H. Gao , H. Liu . Robust quantized control for active suspension systems. IET Control Theory Appl. , 17 , 1955 - 1969
-
12)
- M.S. Mahmoud . (2011) Decentralized control with design constraints.
-
13)
- M.S. Mahmoud . (2004) Resilient control of uncertain dynamical systems.
-
14)
- M.L. Corradini , G. Orlando . Robust quantized feedback stabilization of linear systems. Automatica , 9 , 2458 - 2462
-
15)
- M.S. Mahmoud , A.Y. Al-Rayyah , Y. Xia . Quantized feedback stabilization of interconnected discrete time-delay systems. IET Control Theory Appl. , 6 , 795 - 802
-
16)
- M. Fu , C.E. deSouza . State estimation for linear discrete-time systems using quantized measurements. Automatica , 11 , 2611 - 2619
-
17)
- B. Xue , N. Li , S. Li , Q. Zhu . Robust model predictive control for networked control systems with quantization. IET Control Theory Appl. , 12 , 2896 - 2906
-
18)
- B. Francesco , D. Liberzon . Quantized control via locational optimization. IEEE Trans. Autom. Control , 2 - 13
-
19)
- E.P. Gatzke , E.S. Meadows , C. Wang , I.I.I.F.J. Doyle . Model-based control of a four-tank system. Comput. Chem. Eng. , 1503 - 1509
-
20)
- J. Zhang , J. Lam , Y. Xia . Observer-based output feedback control for discrete systems with quantized inputs. IET Control Theory Appl. , 3 , 478 - 485
-
21)
- H. Ishii , B.A. Francis . Quadratic stabilization of sampled-data systems with quantization. Automatica , 1793 - 1800
-
22)
- F. Rasool , S.K. Nguang . Quantized robust ℋ∞ output feedback control of discrete-time systems with random communication delays. IET Control Theory Appl. , 11 , 2252 - 2262
-
23)
- E. Fridman , M. Dambrine . Control under quantisation, saturation and delay: An LMI approach. Automatica , 2258 - 2264
-
1)