摘要:

In this paper the functional reproducibility of a general multivariable analytic nonlinear system of the formx =f(x, u), y = h{x, u)will be discussed, where the state space is a real analytic manifold. A general inversion algorithm is presented for the system. A sufficient and necessary condition for the functional reproducibility of the system is derived. The construction of a right-inverse system is also included.

ISSN:0020-7179    

DOI:10.1080/00207178708933726

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

This paper extends the application of shifted Legendre-series expansions to integrodifferential systems with quadratic performance index. Based on the shifted Legendre series, a directly computational formulation for evaluating the optimal control and trajectory is developed. The formulation is straightforward and convenient for digital computation. An example is given to demonstrate the applicability of the proposed method.

ISSN:0020-7179    

DOI:10.1080/00207178708933727

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

Based on shifted Jacobi series, algorithms have been established for the analysis and identification of non-linear systems described by a Hammerstein model consisting of a single-valued non-linearity followed by a linear plant. Moreover, the parameter estimation of a certain non-linear lumped system is also presented. By using the shifted Jacobi expansion for the analysis, the solution of a non-linear state equation is reduced to the solution of a linear algebraic matrix equation. For the identification, by expanding the measured input-output data into the shifted Jacobi series the unknown parameters of the non-linear system are estimated through the least-squares method. Examples are given to demonstrate the usefulness of this approach.

ISSN:0020-7179    

DOI:10.1080/00207178708933728

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

In Arbel and Rath (1985) an iterative eigenvalue assignment algorithm was presented. This algorithm has the shortcomings of clustering most of the closed-loop eigenvalues on the real axis. A general method is given here for recursive eigenstructure assignment in linear systems. The method eliminates the shortcomings of the algorithm of Arbel and Rath. It is shown that the right and left eigenvectors of the closed-loop system matrix can be determined in terms of those of a small-dimension matrixA*c. It is also shown that the results of Arbel and Tse (1980) are special cases of those of the proposed method. Moreover, the arbitrary parameters, beyond eigenvalue assignment, are shown to be embedded in the choice of a certain arbitrary invertible matrixS. Furthermore, computer-oriented steps are outlined for recursive eigenstructure assignment in large-scale systems. Numerical examples are worked out to illustrate the generality and feasibility of the proposed method.

ISSN:0020-7179    

DOI:10.1080/00207178708933729

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

The theory of hypothesis testing is used to select a model with the correct structure, and the relation of such a method to the AIC and FPE criteria is investigated. Parametric validation and correlation validation methods are developed for non-non-linear difference equation models. Several shortcomings of traditional methods, especially when applied to non-linear systems, are described.

ISSN:0020-7179    

DOI:10.1080/00207178708933730

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

A discrete-time, multiple-input non-linear Hammerstein system is identified. The dynamical subsystem is recovered using the standard correlation method. The main results concern estimation of the non-linear memoryless subsystem. No conditions concerning the functional form of the transform characteristic of the subsystem are made and an algorithm for estimation of the characteristic is given. The algorithm is simply a non-parametric kernel estimate of the regression function calculated from the dependent data. It is shown that the algorithm converges to the characteristic of the subsystem in the pointwise as well as the global sense. For sufficiently smooth characteristics, the rate of convergence is o(n-1/(2+din probability, where d is the dimension of the input variable.

ISSN:0020-7179    

DOI:10.1080/00207178708933731

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

A new method of observer design for shift-invariant two-dimensional digital systems is presented. The method is applicable to a large class of two-dimensional systems and the condition of applicability is very simple to test.

ISSN:0020-7179    

DOI:10.1080/00207178708933732

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

In this work, linear time-invariant discrete-time systems acted on by correlated-noise disturbances with uncertain models are mean-square stabilized by reduced-order controllers.

ISSN:0020-7179    

DOI:10.1080/00207178708933733

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207178708933734

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207178708933735

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor