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Analysis of an isopetype dual algorithm for optimizing control and nonlinear optimization

100%
Tadej W., Tatjewski P.
International Journal of Applied Mathematics and Computer Science
|
2001
|
tom 11
|
nr 2
429-457
EN
First results concerning important theoretical properties of the dual ISOPE (Integrated System Optimization and Parameter Estimation) algorithm are presented. The algorithm applies to on-line set-point optimization in control structures with uncertainty in process models and disturbance estimates, as well as to difficult nonlinear constrained optimization problems. Properties of the conditioned (dualized) set of problem constraints are investigated, showing its structure and feasibility properties important for applications. Convergence conditions for a simplified version of the algorithm are derived, indicating a practically important threshold value of the right-hand side of the conditioning constraint. Results of simulations are given confirming the theoretical results and illustrating properties of the algorithms.
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Optimization and pole assignment in control system design

100%
Chu E. K.
International Journal of Applied Mathematics and Computer Science
|
2001
|
tom 11
|
nr 5
1035-1053
EN
Some elementary optimization techniques, together with some not so well-known robustness measures and condition numbers, will be utilized in pole assignment. In particular, ''Method 0'' by Kautsky et al. (1985) for optimal selection of vectors is shown to be convergent to a local minimum, with respect to the condition number . This contrasts with the misconception by Kautsky et al. that the method diverges, or the recent discovery by Yang and Tits (1995) that the method converges to stationary points.
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