zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Reliable control for networked control systems with probabilistic actuator fault and random delays. (English) Zbl 1206.93108
Summary: The reliable control design is considered for Networked Control Systems (NCSs) against probabilistic actuator fault with different failure rates, measurements distortion, random network-induced delay and packet dropout. A new distribution-based fault model is proposed, which also contains the probability distribution information of the random delay and packet dropout. By using Lyapunov functional and new technique in dealing with time delay, stability and stabilization criteria are derived in terms of linear matrix inequalities. The provided numerical example and Vertical Takeoff and Landing (VTOL) aircraft system illustrate that: firstly, using the distribution information of the delay, the Maximum Effective Delay Bound (MEDB) can be greatly improved, secondly, the proposed reliable controller can stabilize the NCSs with probabilistic actuator fault and measurements distortion, which may be unstable under the controller designed without considering the unreliable cases.
MSC:
93E03General theory of stochastic systems
93C15Control systems governed by ODE
93D30Scalar and vector Lyapunov functions
93E15Stochastic stability
93A30Mathematical modelling of systems
References:
[1]Hespanha, J. P.; Naghshtabrizi, P.; Xu, Y. G.: A survey of recent results in networked control systems, Proceedings of the IEEE 95, No. 1, 138-162 (2007)
[2]Peng, C.; Yue, D.; Tian, E.; Gu, Z.: A delay distribution based stability analysis and synthesis approach for networked control systems, Journal of the franklin institute–engineering and application mathematics 346, No. 4, 349-365 (2009) · Zbl 1166.93381 · doi:10.1016/j.jfranklin.2008.11.004
[3]Zhu, X.; Hua, C.; Wang, S.: State feedback controller design of networked control systems with time delay in the plant, International journal of innovative computing, information and control 4, No. 2, 283-290 (2008)
[4]Zhao, Y.; Liu, G.; Rees, D.: A predictive control based approach to networked Wiener systems, International journal of innovative computing, information and control 4, No. 11, 2793-2802 (2008)
[5]Mendez-Monroy, P.; Benitez-Perez, H.: Supervisory fuzzy control for networked control systems, ICIC express letters 3, No. 2, 233-238 (2009)
[6]Xia, Y.; Zhu, Z.; Mahmoud, M.: H 2 control for networked control systems with Markovian data losses and delays, ICIC express letters 3, No. 3, 271-276 (2009)
[7]Dai, J.: A delay system approach to networked control systems with limited communication capacity, Journal of the franklin institute–engineering and application mathematics 347, No. 7, 1334-1352 (2010)
[8]Yang, F.; Fang, H.: Control structure design of networked control systems based on maximum allowable delay bounds, Journal of the franklin institute–engineering and application mathematics 346, No. 6, 626-635 (2009) · Zbl 1169.93301 · doi:10.1016/j.jfranklin.2009.03.002
[9]Zhao, Y.; Liu, G.; Rees, D.: Improved predictive control approach to networked control systems, Control theory applications, IET 2, No. 8, 675-681 (2008)
[10]Cloosterman, M. B. G.; Wouw, N. V. D.; Heemels, W. P. M.H.; Nijmeijer, H.: Stability of networked control systems with uncertain time-varying delays, IEEE transactions on automatic control 54, No. 7, 1575-1580 (2009)
[11]Yue, D.; Han, Q. -L.; Peng, C.: State feedback controller design of networked control systems, IEEE transactions on circuits and systems–II 51, 640-644 (2004)
[12]Wang, Z.; Yang, F.; Ho, D. W. C.: Robust H filtering for stochastic time-delay systems with missing measurements, IEEE transactions on signal processing 54, No. 7, 2579-2587 (2006)
[13]Wang, Z.; Ho, D. W. C.; Liu, Y.; Liu, X.: Robust H-infinity control for a class of nonlinear discrete time-delay stochastic systems with missing measurements, Automatica 45, No. 3, 684-691 (2009) · Zbl 1166.93319 · doi:10.1016/j.automatica.2008.10.025
[14]Yang, F.; Wang, Z.; Ho, D. W. C.; Gani, M.: Robust H control with missing measurements and time delays, IEEE transactions on automatic control 52, 1666-1672 (2007)
[15]Wang, Z.; Ho, D. W. C.; Liu, X.: Variance-constrained filtering for uncertain stochastic systems with missing measurements, IEEE transactions on automatic control 48, 1254-1258 (2003)
[16]He, X.; Wang, Z.; Zhou, D.: Robust H filtering for time-delay systems with probabilistic sensor faults, IEEE signal processing letters 16, No. 5, 442-445 (2009)
[17]Hounkpevi, F.; Yaz, E.: Robust minimum variance linear state estimators for multiple sensors with different failure rates, Automatica 43, No. 7, 1274-1280 (2007) · Zbl 1123.93085 · doi:10.1016/j.automatica.2006.12.025
[18]Wei, G.; Wang, Z.; Shu, H.: Robust filtering with stochastic nonlinearities and multiple missing measurements, Automatica 45, No. 3, 836-841 (2009) · Zbl 1168.93407 · doi:10.1016/j.automatica.2008.10.028
[19]Yang, C. -X.; Guan, Z. -H.; Huang, J.: Stochastic fault tolerant control of networked control systems, Journal of the franklin institute–engineering and application mathematics 346, No. 10, 1006-1020 (2009) · Zbl 1185.93146 · doi:10.1016/j.jfranklin.2009.08.001
[20]Mao, Z.; Jiang, B.; Shi, P.: Observer based fault-tolerant control for a class of nonlinear networked control systems, Journal of the franklin institute–engineering and application mathematics 347, No. 6, 940-956 (2010) · Zbl 1201.93061 · doi:10.1016/j.jfranklin.2010.01.007
[21]Yue, D.; Tian, E.; Zhang, Y.; Peng, C.: Delay-distribution-dependent robust stability of uncertain systems with time-varying delay, International journal of robust and nonlinear control 19, 377-393 (2009) · Zbl 1157.93478 · doi:10.1002/rnc.1314
[22]Gao, H.; Meng, X.; Chen, T.: Stabilization of networked control systems with a new delay characterization, IEEE transactions on automatic control 53, No. 9, 2142-2148 (2008)
[23]Tian, E.; Yue, D.; Wang, Z.: Robust H control for uncertain discrete-time systems with probabilistic state delays, Asian journal of control 11, 503-516 (2009)
[24]Yue, D.; Tian, E.; Wang, Z.; Lam, J.: Stabilization of systems with probabilistic interval input delays and its applications to networked control systems, IEEE transactions on systems, man and cybernetics, (Part A) 39, 939-945 (2009)
[25]Kim, D. S.; Lee, Y. S.; Kwon, W. H.; Park, H. S.: Maximum allowable delay bounds of networked control systems, Control engineering practice, 1301-1313 (2003)
[26]Wang, Z.; Ho, D. W. C.; Liu, X.: Variance-constrained control for uncertain stochastic systems with missing measurement, IEEE transactions on systems, man and cybernetics–part A 35, 746-753 (2005)
[27]He, Y.; Wu, M.; She, J. H.; Liu, G. P.: Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties, IEEE transactions on automatic control 49, 828-832 (2004)
[28]Yue, D.; Han, Q. -L.: Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity and Markovian switching, IEEE transactions on automatic control 50, 217-222 (2005)
[29]Yue, D.; Tian, E.; Zhang, Y.: A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay, International journal of robust and nonlinear control 19, 1493-1518 (2009)
[30]Elghaoui, L.; Oustry, F.; Aitrami, M.: A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE transactions on automatic control 42, 1171-1176 (1997) · Zbl 0887.93017 · doi:10.1109/9.618250
[31]Zhang, W.; Branicky, M. S.; Phillips, S. M.: Stability of networked control systems, IEEE control systems magazine 21, 84-99 (2001)
[32]Yue, D.; Han, Q. -L.; Lam, J.: Network-based robust H control with systems with uncertainty, Automatica 41, 999-1007 (2005) · Zbl 1091.93007 · doi:10.1016/j.automatica.2004.12.011
[33]He, Y.; Liu, G. P.; Rees, D.; Wu, M.: Improved stabilisation method for networked control systems, IET Proceedings–control theory and applications 1, 1580-1585 (2007)
[34]Saif, M.; Guan, Y.: A new approach to robust fault detection and identification, IEEE transactions on aerospace and electronic systems 29, No. 3, 685-695 (1993)