Title :
D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach
Author :
Feng, Wang ; Pan, Xiong ; Jian, Chen ; Li, Shi ; XiBin, Cao
Author_Institution :
Res. Center of Satellite Technol., Harbin Inst. of Technol., Harbin, China
Abstract :
New LMI conditions are present to analyze the stability of polynomial matrices and polynomial matrix polytopes in an intersecting region D. During the analysis, the intersecting region D is described by disjoint regions and the problem to analyze the stability of polynomial matrices and polytopes in intersection D is transformed to analyze the stability in each disjoint D-region respectively. With this strategy, the stability of polynomial matrices and polytopes in an arbitrary D-region is checked successfully. To solve LMI problem in Matlab, the real-valued LMI conditions of all complex-valued LMI conditions are developed as well. Finally, numerical examples are provided to illustrate the effects of these new conditions.
Keywords :
linear matrix inequalities; numerical stability; polynomial matrices; D-stability analysis; Matlab; arbitrary D-region; complex-valued LMI conditions; disjoint D-region; intersecting region; linear matrix inequality; polynomial matrices; polynomial matrix polytopes; real-valued LMI conditions; Linear matrix inequalities; MATLAB; Numerical stability; Polynomials; Robust stability; Robustness; Stability analysis;
Conference_Titel :
Industrial Electronics and Applications (ICIEA), 2012 7th IEEE Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-2118-2
DOI :
10.1109/ICIEA.2012.6360822
