On designing robust controllers under randomly varying sensor delay with variance constraints

International Journal of General Systems

Volumn 35, Issue 1, 2006, Pages 1-15

  Wang, Zidong ^a,b   Liu, Yurong ^c   Yang, Fuwen ^a,b   Liu, Xiaohui ^a,b  

^a DONGHUA UNIVERSITY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

^c YANGZHOU UNIVERSITY   (China)

Author keywords

Incomplete observation; Missing signal; Robust control; Sensor delay; Stochastic control; Variance constraints

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; PROBLEM SOLVING; ROBUST CONTROL; SENSORS; TIME VARYING CONTROL SYSTEMS;

INCOMPLETE OBSERVATION; MISSING SIGNALS; SENSOR DELAYS; STOCHASTIC CONTROL; VARIANCE CONSTRAINTS;

STOCHASTIC CONTROL SYSTEMS;

EID: 34047157599     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081070500292528     Document Type: Article

References (20)

1. R.G. Agniel and E.I. Jury, "Almost sure boundedness of randomly sampled systems", SIAM J. Control, 9, pp. 372-384, 1971.
2. A. Ben-Israel and T.N.E. Greville, Generalized Inverses: Theory and Applications, New York: Wiley, 1974.
3. W.L. DeKoning, "Optimal estimation of linear discrete time systems with stochastic parameters", Automation, 20, pp. 113-115, 1984.
4. P. Gahinet, A. Nemirovsky, A.J. Laub and M. Chilali, LMI Control Toolbox: For Use with Matlab, New York: The MATH Works Inc., 1995.
5. ∞-error bounds", Int. J. Control, 39, pp. 1115-1193, 1984.
6. M. Malek-Zavarei and M. Jamshidi, Time-delay Systems: Analysis, Optimation and Application, North-Holland, Amsterdam, 1987.
7. N.E. Nahi, "Optimal recursive estimation with uncertain observations", IEEE Trans. Inform. Theory, 15, pp. 457-462, 1969.
8. W. NaNacara and E. Yaz, "Recursive estimator for linear and nonlinear systems with uncertain observations", Signal Processing, 62, pp. 215-228, 1997.
9. S.-I. Niculescu, E.I. Verriest, L. Dugard and J.M. Dion, "Stability and robust stability of time-delay systems: a guided tour", in Stability and Control of Time-delay Systems, L. Dugard, et al. Ed., Berlin: Springer, Lect. Notes Control Inf. Sci. 1998, 228, pp. 1-71.
10. J. Nilsson, B. Bernhardsson and B. Wittenmark, "Stochastic analysis and control of real-time systems with random time delays", Automation, 34(1), pp. 57-64, 1998.
11. A. Ray, "Output feedback control under randomly varying distributed delays", J. Guid. Control Dynam., 17(4), pp. 701-711, 1994.
12. J.-P. Richard, "Time-delay systems: an overview of some recent advances and open problems", Automatica, 39(10), pp. 1667-1694, 2003.
13. 2 Optimal Control, Series in Systems and Control Engineering, London: Prentice Hall International, 1995.
14. R.E. Skelton and T. Iwasaki, "Liapunov and covariance controllers", Int. J. Control, 51, pp. 519-536, 1993.
15. R.E. Skelton, T. Iwasaki and K.M. Grigoriadis, A Unified Algebraic Approach to Linear Control Design, Basingstoke: Taylor & Francis, 1997.
16. ∞ control for systems with time-varying parameter uncertainty and variance constraints", Cybernetics and Systems: An Inernational Journal, 31, pp. 175-191, 2000.
17. ∞ control with D-stability and variance constraints: a parameterization approach", J. Dynam. Control Syst., 11(2), pp. 263-280, 2005.
18. Y. Wang, L. Xie and C.E. de Souza, "Robust control of a class of uncertain nonlinear systems", Syst. Control Lett., 19, pp. 139-149, 1992.
19. Z. Wang, D.W.C. Ho and X. Liu, "Variance-constrained filtering for uncertain stochastic systems with missing measurements", IEEE Trans. Automat. Control. 48(7), pp. 1254-1258, 2003.
20. G. Zhu, K. Grigoriadis and R.E. Skelton, "Covariance control design for the HST", AIAA J. Guid. Control Dynam., 18(2), pp. 230-236, 1995.