Chebyshev series approach to linear systems sensitivity analysis
โ Scribed by G.T. Kekkeris
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 510 KB
- Volume
- 323
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
A simplified method is proposedfor the determination of sensitivity functions of linear time invariant systems. This method, based on the idea of using Chebyshev polynomials, is also extended in the case of linear systems with time-varying variations. The approach is approximate, straightforward and computationally simple.
๐ SIMILAR VOLUMES
The problem of' trajectory and output sensitivity analysis of linear time-invariant systems is studied using a new orthogonal series method. Simple expressions are derived for the determination qf the coeficient sensitivity matrices involving multiplications of matrices of small dimensions. No solut
Based on the Chebyshev series, a directly computational formulation in matrix form is established for evaluating the optimal control and trajectory of time-delay systems. In
A new approximate method is proposed for the determination of the output sensitivity function of linear time-invariant systems using polynomial series expansions. The novelties of the proposed method are the use of the operational matrix of differentiation for the derivation of the algebraic equatio