Time-delay estimation for nonlinear systems with piecewise-constant input

Applied Mathematics and Computation

Volumn 219, Issue 17, 2013, Pages 9543-9560

  Chai, Qinqin ^a,b   Loxton, Ryan ^b   Teo, Kok Lay ^b   Yang, Chunhua ^c  

^a FUZHOU UNIVERSITY   (China)

^b CURTIN UNIVERSITY   (Australia)

^c CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Parameter identification Time delay system Nonlinear optimization Purification processes Evaporation processes

Indexed keywords

COMPUTATIONAL APPROACH; CONVENTIONAL OPTIMIZATION; LEAST-SQUARES ERRORS; NON-LINEAR OPTIMIZATION PROBLEMS; NONLINEAR TIME-DELAY SYSTEMS; PURIFICATION PROCESS; TIME DELAY ESTIMATION; TIME-DELAY SYSTEMS;

ALGORITHMS; CHROMATOGRAPHY; COST FUNCTIONS; DELAY CONTROL SYSTEMS; EVAPORATION; INDUSTRIAL APPLICATIONS; OPTIMIZATION; PHASE TRANSITIONS; PURIFICATION;

TIME DELAY;

EID: 84876568656     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.03.015     Document Type: Article

References (39)

1. Z.G. Wu, J.H. Park, H. Su, and J. Chu Stochastic stability analysis for discrete-time singular Markov jump systems with time-varying delay and piecewise-constant transition probabilities Journal of the Franklin Institute 349 2012 2889 2902
2. G.T. Stamov, and A.G. Stamov On almost periodic processes in uncertain impulsive delay models of price fluctuations in commodity markets Applied Mathematics and Computation 219 2013 5376 5383
3. Z.G. Wu, J.H. Park, H. Su, and J. Chu Stochastic stability analysis of piecewise homogeneous Markovian jump neural networks with mixed time-delays Journal of the Franklin Institute 349 2012 2136 2150
4. Z.G. Wu, J.H. Park, H. Su, and J. Chu Passivity analysis of Markov jump neural networks with mixed time-delays and piecewise-constant transition rates Nonlinear Analysis: Real World Applications 13 2012 2423 2431
5. A.K. Misra, S.N. Mishra, A.L. Pathak, P. Misra, and R. Naresh Modeling the effect of time delay in controlling the carrier dependent infectious disease - Cholera Applied Mathematics and Computation 218 2012 11547 11557
6. Q. Song Synchronization analysis in an array of asymmetric neural networks with time-varying delays and nonlinear coupling Applied Mathematics and Computation 216 2010 1605 1613
7. H. Li, J. Lam, and K.C. Cheung Passivity criteria for continuous-time neural networks with mixed time-varying delays Applied Mathematics and Computation 218 2012 11062 11074
8. Y. Liu, L.S. Hu, and P. Shi A novel approach on stabilization for linear systems with time-varying input delay Applied Mathematics and Computation 218 2012 5937 5947
9. M. Maleki, I. Hashim, and S. Abbasbandy Solution of time-varying delay systems using an adaptive collocation method Applied Mathematics and Computation 219 2012 1434 1448
10. S. Torkamani, and E.A. Butcher Optimal estimation of parameters and states in stochastic time-varying systems with time delay Communications in Nonlinear Science and Numerical Simulation 18 2013 2188 2201
11. Q.Q. Chai, C.H. Yang, K.L. Teo, and W.H. Gui Time-delayed optimal control of an industrial-scale evaporation process sodium aluminate solution Control Engineering Practice 20 2012 618 628
12. S. Dimartino, C. Boi, and G.C. Sarti A validated model for the simulation of protein purification through affinity membrane chromatography Journal of Chromatography A 1218 2011 1677 1690
13. G. Fernholz, S. Engell, L.U. Kreul, and A. Gorak Optimal operation of a semi-batch reactive distillation column Computers and Chemical Engineering 24 2000 1569 1575 (Pubitemid 30608399)
14. L. Wang, W. Gui, K.L. Teo, R. Loxton, and C. Yang Time delayed optimal control problems with multiple characteristic time points: computation and industrial applications Journal of Industrial and Management Optimization 5 2009 705 718
15. K.L. Teo, C.J. Goh, and K.H. Wong A Unified Computational Approach to Optimal Control Problems 1991 Longman Scientific and Technical Essex, U.K.
16. R.C. Loxton, K.L. Teo, V. Rehbock, and K.F.C. Yiu Optimal control problems with a continuous inequality constraint on the state and the control Automatica 45 2009 2250 2257
17. H.R. Marzban, and S.M. Hoseini Solution of linear optimal control problems with time delay using a composite Chebyshev finite difference method Optimal Control Applications and Methods 2012 10.1002/oca.2019
18. J.P. Richard Time-delay systems: an overview of some recent advances and open problems Automatica 39 2003 1667 1694
19. M. Anguelova, and B. Wennberg State elimination and identifiability of the delay parameter for nonlinear time-delay systems Automatica 44 2008 1373 1378
20. L. Belkoura, J.P. Richard, and M. Fliess Parameters estimation of systems with delayed and structured entries Automatica 45 2009 1117 1125
21. B. Ni, D. Xiao, and S.L. Shah Time delay estimation for MIMO dynamical systems-With time-frequency domain analysis Journal of Process Control 20 2010 83 94
22. M. Liu, Q.G. Wang, B. Huang, and C.C. Hang Improved identification of continuous-time delay processes from piecewise step tests Journal of Process Control 17 2007 51 57 (Pubitemid 44854489)
23. B. Rakshit, A.R. Chowdhury, and P. Saha Parameter estimation of a delay dynamical system using synchronization in presence of noise Chaos, Solitons & Fractals 32 2007 1278 1284 (Pubitemid 44920412)
24. Y. Tang, and X. Guan Parameter estimation of chaotic system with time-delay: a differential evolution approach Chaos, Solitons and Fractals 42 2009 3132 3139
25. Y. Tang, and X. Guan Parameter estimation for time-delay chaotic systems by particle swarm optimization Chaos, Solitons and Fractals 40 2009 1391 1398
26. R. Loxton, K.L. Teo, and V. Rehbock An optimization approach to state-delay identification IEEE Transactions on Automatic Control 55 2010 2113 2119
27. M.S. Charalambides, N. Shah, and C.C. Pantelides Synthesis of batch reaction/distillation processes using detailed dynamic models Computers and Chemical Engineering 19 1995 167 174
28. Q. Lin, R. Loxton, K.L. Teo, and Y.H. Wu A new computational method for optimizing nonlinear impulsive systems Dynamics of Continuous, Discrete and Impulsive Systems - Series B 18 2011 59 76
29. R. Loxton, K.L. Teo, and V. Rehbock Computational method for a class of switched system optimal control problems IEEE Transactions on Automatic Control 54 2009 2455 2460
30. N.U. Ahmed Dynamic Systems and Control with Applications 2006 World Scientific Singapore
31. C. Seatzu, D. Corona, A. Giua, and A. Bemporad Optimal control of continuous-time switched affine systems IEEE Transactions on Automatic Control 51 2006 726 741 (Pubitemid 43792635)
32. M. Kamgarpour, and C. Tomlin On optimal control of non-autonomous switched systems with a fixed mode sequence Automatica 48 2012 1177 1181
33. C. Liu, Z. Gong, E. Feng, and H. Yin Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture Journal of Industrial and Management Optimization 5 2009 835 850
34. I. Malloci, J. Daafouz, and C. Iung Stability and stabilization of two time scale switched systems in discrete time IEEE Transactions on Automatic Control 55 2010 1434 1438
35. C. Jiang, K.L. Teo, R. Loxton, and G.R. Duan A neighboring extremal solution for an optimal switched impulsive control problem Journal of Industrial and Management Optimization 8 2012 591 609
36. T. Ruby, and V. Rehbock Numerical solutions of optimal switching control problems Optimization and Control with Applications 96 2005 447 459
37. X. Xu, and P.J. Antsaklis Optimal control of switched systems based on parameterization of the switching instants IEEE Transactions on Automatic Control 49 2004 2 16
38. R.G. Bartle The Elements of Integration and Lebesgue Measure first ed. 1995 Wiley Interscience
39. L.Y. Wang, W.H. Gui, K.L. Teo, R. Loxton, and C.H. Yang Optimal control problems arising in the zinc sulphate electrolyte purification process Journal of Global Optimization 54 2012 307 323