Control design for first-order processes: Shaping the probability density of the process state

Journal of Process Control

Volumn 14, Issue 4, 2004, Pages 399-410

  Forbes, M G ^a   Guay, M ^b   Forbes, J F ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Discrete time processes; Feedback control methods; Non Gaussian processes; Non linear processes; Stationarity; Stochastic control

Indexed keywords

CONTROL EQUIPMENT; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

CONTROL LAW PARAMETERIZATION; NON-GAUSSIAN PROCESSES;

PROCESS CONTROL;

EID: 0348011348     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2003.07.002     Document Type: Article

References (18)

1. Latour P.R. Quantify quality control's intangible benefits. Hydrocarb. Process. 71(5):1992;61-68.
2. Latour P.R. Process control: CLIFFTENT shows it's more profitable than expected. Hydrocarb. Process. 75(12):1996;75-80.
3. Wang H. Robust control of the output probability density functions of multivariable stochastic systems with guaranteed stability. IEEE Trans. Automat. Contr. 44(11):1999;2103-2107.
4. Wang H. Bounded Dynamic Stochastic Distributions Modelling and Control. 2000;Springer-Verlag, London.
5. Wang H., Zhang J.H. Bounded stochastic distribution control for pseudo armax systems. IEEE Trans. Automat. Contr. 46(3):2001;486-490.
6. Wang H. Minimum entropy control for non-Gaussian dynamic stochastic systems. IEEE Trans. Automat. Contr. 47(2):2002;398-403.
7. Jazwinski A.H. Stochastic Processes and Filtering Theory. 1970;Academic Press, New York.
8. Harris T.J. Encyclopedia of Statistical Sciences. vol. 6:1985;459-464 John Wiley, New York. (Chapter: Optimal stochastic control).
9. Harris T.J. Optimal controllers for nonsymmetric and nonquadratic loss functions. Technometrics. 34(3):1992;298-306.
10. Lee A.C. Minimum-variance controller for a class of non-linear systems. Int. J. Syst. Sci. 21(11):1990;2091-2101.
11. E. Jondeau, M. Rockinger, Estimating Gram-Charlier expansions with positivity constraints, Notes d'Etudes et de Recherche, Banque de France 56.
12. Cramer H. Mathematical Methods of Statistics. 1946;Princeton University Press, Princeton.
13. Stuart A., Ord J.K. sixth ed. Kendall's Advanced Theory of Statistics. vol. 1:1994;Halsted Press, Toronto.
14. Kuznetsov P.I., Stratonovich R.L., Tikhonov V.I. Non-Linear Transformations of Stochastic Processes. 1965;Pergamon Press, New York.
15. Polak E. Optimization: Algorithms and Consistent Approximations. 1997;Springer, New York.
16. Krstic M., Deng H. Stabilization of Nonlinear Uncertain Systems. 1998;Springer, Great Britain.
17. Tong H. Non-Linear Time Series: A Dynamical System Approach. 1990;Oxford University Press, Oxford.
18. Devore J.L. Probability and Statistics for Engineering and the Sciences. fourth ed. 1995;Duxbury Press, Toronto.