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

被引：68
作者：
Forbes, MG
Guay, M
Forbes, JF [1 ]
机构：
[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
[2] Queens Univ, Dept Chem Engn, Kingston, ON K7L 3N6, Canada
来源：
JOURNAL OF PROCESS CONTROL | 2004年 / 14卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
non-Gaussian processes; non-linear processes; feedback control methods; stationarity; stochastic control; discrete-time processes;
D O I：
10.1016/j.jprocont.2003.07.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
While the long term behaviour of a stationary stochastic process is concisely summarized by the probability density function (PDF), many well-established regulatory control techniques focus only on two quantities derived from the PDF, the mean and variance, as key design targets. This paper presents a technique for the design of control laws that shape all aspects of the PDF of a first-order process. By developing relationships between the moments of the PDF and the coefficients in a control law parameterization, an approximate control law is developed to shape the process PDF as desired. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：399 / 410
页数：12
相关论文
共 18 条
  • [1] [Anonymous], 1999, Mathematical Methods of Statistics
  • [2] Devore JL., 2000, Probability and statistics for engineering and the sciences
  • [3] OPTIMAL CONTROLLERS FOR NONSYMMETRIC AND NONQUADRATIC LOSS FUNCTIONS
    HARRIS, TJ
    [J]. TECHNOMETRICS, 1992, 34 (03) : 298 - 306
  • [4] HARRIS TJ, 1985, ENCY STAT SCI, V6, P459
  • [5] Jazwinski A.H., 2007, STOCHASTIC PROCESSES
  • [6] JONDEAU E, ESTIMATING GRAM CHAR
  • [7] Krstic Miroslav., 1998, Stabilization of nonlinear uncertain systems, V1st
  • [8] Kuznetsov P. I., 1965, NONLINEAR TRANSFORMA, DOI DOI 10.1016/B978-1-4832-3230-0.50026-2
  • [9] LATOUR PR, 1992, HYDROCARB PROCESS, V71, P61
  • [10] Latour PR, 1996, HYDROCARB PROCESS, V75, P75
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