Title :
B3 algorithm for robust performances analysis in presence of mixed parametric and dynamic perturbations
Author :
Malan, Stefano ; Milanese, Mario ; Taragna, M. ; Garloff, J.
Author_Institution :
Dipartimento di Autom. e Inf., Politecnico di Torino, Italy
Abstract :
The performance robustness of control systems in the presence of both parametric perturbations and unmodeled dynamics is investigated. Assuming polynomial parametric perturbations and H∞ performances, the problem is reduced to checking the positivity of suitable polynomials. A novel algorithm based on the Bernstein polynomial expansion is proposed. A Bernstein branch and bound (B3 ) algorithm has been implemented using the formulas of Bernstein coefficients on subdivisions in the parameter space. The efficiency of the algorithm is demonstrated on some examples taken from the literature on the robustness analysis of nonlinearity perturbed control systems
Keywords :
control system analysis; optimal control; perturbation techniques; polynomials; Bernstein branch and bound algorithm; Bernstein coefficients; Bernstein polynomial expansion; H∞ performances; mixed parametric/dynamic perturbations; positivity; robust performances analysis; unmodeled dynamics; Algorithm design and analysis; Control systems; Nonlinear control systems; Performance analysis; Polynomials; Robust control; Robustness; Testing; Transfer functions; Upper bound;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371776
