Parametric H∞ loopshaping and weighted mixed sensitivity minimization Export

@article{citeulike:5106936, abstract = {Generalized H_∞ loopshaping is developed for a particular weighted mixed sensitivity minimization task. A free parameter is introduced to tradeoff minimizations of sensitivity and complementary sensitivity in the H_∞ performance index. A quadratically convergent algorithm is derived for computing the optimal performance index, and a state-space solution is obtained for suboptimal controllers. These results are applicable to stabilization of uncertain systems where normalized coprime factors involve parametrically weighted H_∞ norm-bounded perturbations. Controller reduction is also investigated for the parametric H_∞ loopshaping. Robust stability condition for using the reduced-order controller is established, and an estimate for the associated H_∞ performance is obtained. Similar results are derived for normalized linear quadratic Gaussian (LQG) control}, author = {Gu, Guoxiang and Chen, Jie and Lee, E. B.}, booktitle = {Automatic Control, IEEE Transactions on}, citeulike-article-id = {5106936}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/9.754832}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=754832}, doi = {10.1109/9.754832}, journal = {Automatic Control, IEEE Transactions on}, keywords = {algebraic, coprime, equation, factors, h, infinity, loop, non-normalised, ricatti, shaping}, number = {4}, pages = {846--852}, posted-at = {2009-07-10 16:10:46}, priority = {3}, title = {Parametric H∞ loopshaping and weighted mixed sensitivity minimization}, url = {http://dx.doi.org/10.1109/9.754832}, volume = {44}, year = {1999} }

TY - JOUR ID - citeulike:5106936 L3 - citeulike-article-id:5106936 N2 - Generalized H_∞ loopshaping is developed for a particular weighted mixed sensitivity minimization task. A free parameter is introduced to tradeoff minimizations of sensitivity and complementary sensitivity in the H_∞ performance index. A quadratically convergent algorithm is derived for computing the optimal performance index, and a state-space solution is obtained for suboptimal controllers. These results are applicable to stabilization of uncertain systems where normalized coprime factors involve parametrically weighted H_∞ norm-bounded perturbations. Controller reduction is also investigated for the parametric H_∞ loopshaping. Robust stability condition for using the reduced-order controller is established, and an estimate for the associated H_∞ performance is obtained. Similar results are derived for normalized linear quadratic Gaussian (LQG) control IS - 4 JF - Automatic Control, IEEE Transactions on EP - 852 TI - Parametric H∞ loopshaping and weighted mixed sensitivity minimization VL - 44 T2 - Automatic Control, IEEE Transactions on SP - 846 KW - algebraic KW - coprime KW - equation KW - factors KW - h KW - infinity KW - loop KW - non-normalised KW - ricatti KW - shaping AU - Gu, Guoxiang AU - Chen, Jie AU - Lee, EB PY - 1999/// UR - http://dx.doi.org/10.1109/9.754832 ER -