This report presents a survey of methods for the Distributed Parameter System Identification Problem. Fundamental concepts such as ‘ System Identification ’ and ‘ Distributed Parameter Systems ’ are briefly summarized in order to make precise what kind of problem will be considered here. The various identification methods are grouped into three disjoint classes, namely : ‘ Direct Method ’, ‘ Reduction to a Lumped Parameter System ’ and ‘ Reduction to an Algebraic Equation ’. Under this classification we give a general survey of the main approaches to the problem of identification in distributed systems

Distributed parameter system indentification A survey

This paper surveys the distributed system parameter identification problem and concludes that it can be treated as a series of largely independent subproblems, each of which must be considered in any attempt to treat the problem in applications. An approach is discussed which treats in a unified manner all the inherent subproblems. An annotated bibliography of the literature in the field analyzes the contributions of the various authors to each step in the solution of problems of parameter identification in distributed systems. The applications of existing techniques are discussed, and the paper closes with conclusions and recommendations for future work in the field.

http://ieeexplore.ieee.org/iel5/5/31237/01454335.pdf

Parameter identification in distributed systems: A synthesizing overview

Some recent applications of distributed parameter systems theory-A survey

This survey paper presents a comprehensive review of work in the field of non-linear oscillations. A brief discussion of second-order systems is followed by a presentation of exact criteria, approximate analytical methods and computational techniques for limit cycles in single variable systems. Multivariate systems are then covered from an analogous viewpoint which allows the reader to clearly identify both how single variable methods have been extended and the possibilities for further research. Particular emphasis is placed on describing function methods since it is believed that, where exact solutions are not possible, the approach may not only give approximate solutions but provides good insight for further computational or simulation studies. The coverage is essentially restricted to continuous lumped parameter systems and includes both free and forced oscillations. Several applications of the theories in various fields of engineering and science are discussed and indicate the broad interest in non-l...

A survey on non-linear oscillations

Paper: A self-tuning regulator for distributed parameter systems

A method for determining the optimum control for distributed parameter systems is presented. The method is based upon mathematical programming and is restricted to systems which can be represented by discrete time models having coefficients which are functions of the spatial variables. The control function is assumed to be spatially concentrated. A closed form Bolutton is given which is valid when no constraints exist. An illustrative example is provided.

Optimal control of distributed parameter systems

On-line identification of distributed parameter systems

The paper investigates asymmetrical transient osciliations in non-linear systems. The Krylov—Bogoliubov asymptotic method is extended to cover the asymmetrical transient case. A new asymmetrical oscillatory transient describing function, AOTDF, is derived and its properties are discussed. It is shown that the new function is optimal in the sense that it minimizes a weighted mean-square-error criterion. The AOTDF is utilized to evaluate asymmetrical oscillatory transient behaviour in nonlinear systems. Two illustrative examples are given.

On the asymmetrical oscillatory transient describing function

An on-line digital computer scheme that generates time-suboptimal control policies for discrete systems is described. The scheme is based upon solving the minimum-effort discrete problem using linear programming, where the number of sampling periods used depends on the available computation time. It is established that the suboptimal control policies generated through that scheme result in transferring the discrete system from any initial state to the origin in a finite number of sampling periods. Furthermore, the time delay that resulted from the usage of an on-line digital computer is overcome by incorporating a feedback signal to control the system during the first few sampling periods. Computational results are furnished to illustrate the efficacy of the proposed suboptimal policies.

M. H. Hamza

Papers

Optimal control of distributed parameter systems

On-line identification of distributed parameter systems

On the asymmetrical oscillatory transient describing function

Suboptimal control of minimum-time linear discrete systems†