摘要:

We consider the recursive estimation of the unknown parameters in the stochastic differential equation describing the system utilizing the observations of the state of the system. We show that the unknown parameters can be divided into two groups so that the true values of the members of the first group can be recovered instantaneously whereas the true values of the members of the second group cannot be recovered in finite time. We derive the recursive equations for the conditional mean and covariance of the unknown parameters of the second.

ISSN:0020-7179    

DOI:10.1080/00207177008931916

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

This paper presents a new technique for determining the optimum settings of the conventional two-mode and three-mode controllers. The procedure which utilizes the practically available on-line closed loop data is an extension of the classical work of Ziegler and Nichols (1942). The advantages of the present method over that of Ziegler and Nichols are (i) that it does not require the process to undergo sustained oscillations, (ii) that the tuning constants are determined iteratively (and not by hit-and-miss technique) thereby making the tuning adaptive in nature and (iii) that it is possible to select a criterion of optimality other than the usual 1:4 decay ratio.

ISSN:0020-7179    

DOI:10.1080/00207177008931917

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A study of a certain type of non-linear differential equation of 1st and 2nd order has been made. It is shown that these equations are reduceable to solvable form through the transformation techniques, provided the coefficients occurring in the differential equations satisfy some connective conditions.

ISSN:0020-7179    

DOI:10.1080/00207177008931918

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A near-optimal feedback control law for a distributed parameter system with a quadratic performance index is obtained by the method of trajectory approximation. The system equation is reduced to an approximate system of ordinary differential equations by the Galerkin—Kantorovich method, and then Pontryagin's maximum principle is applied to show that the feedback control law is linear and can be obtained as the solution of a matrix Riccati equation. Numerical computations performed using Chebyshev polynomials as the Galerkin weighting functions on the equation for a heat exchanger with wall flux forcing indicate that four thermocouples are enough to attain virtual optimality.

ISSN:0020-7179    

DOI:10.1080/00207177008931919

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor