WA 9 - 1 O : OO The use of symbolic computation in nonlinear control : Is it viable ?
نویسنده
چکیده
Abdract To aid in the Mllysis and design of nonhear control systems the No&,-oN prlage, an raonym f o r m p l r m ( r o l h m b w d e v e @ e d . Thispaper addressestheusefulngsoftheNO~ONpuckrgeu,aselfcontrinedtoolinthe symbolic analysis and design of nonlinear control systems, u, a replacement d o r complement for numerical tools, and as a clubdtute for a sly tical @pa and pencil) wak. The symbolic computation p r o m is U& a solution of the problems, the algorithms used, and an investigation of the functionality needed. The g e n d structure of the imp1ementation in MAPLE Of thealgaithmsneededtosohretheseproblemsis~tedinSeclion5,wherethe NO&ON Package is described. Section 6 Presents some textbook e m P k using the NO&ON package, for each of the problem areas. The next section contains a discusdon of the larger scale problem. Section 8 present% some conclusions and gives directions for future research. -
منابع مشابه
The use of symbolic computation in nonlinear control : is it viable?
To help along the analysis and design of nonlinear control systems the NONLINCON package, an acronym for Nonlinear Control, was developed. This note addresses the usefulness of symbolic computation, and of the NONLINCON package in particular, for the symbolic analysis and design of nonlinear control systems. The symbolic computation program MAPLE is used as computing substratum. Textbook proble...
متن کاملThe use of symbolic computation in nonlinear control: is it viable?
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
متن کاملSymbolic computation of the Duggal transform
Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...
متن کاملComputational method based on triangular operational matrices for solving nonlinear stochastic differential equations
In this article, a new numerical method based on triangular functions for solving nonlinear stochastic differential equations is presented. For this, the stochastic operational matrix of triangular functions for It^{o} integral are determined. Computation of presented method is very simple and attractive. In addition, convergence analysis and numerical examples that illustrate accuracy and eff...
متن کاملNormal forms of Hopf Singularities: Focus Values Along with some Applications in Physics
This paper aims to introduce the original ideas of normal form theory and bifurcation analysis and control of small amplitude limit cycles in a non-technical terms so that it would be comprehensible to wide ranges of Persian speaking engineers and physicists. The history of normal form goes back to more than one hundreds ago, that is to the original ideas coming from Henry Poincare. This tool p...
متن کامل