Mixed H 2 /H ∞ control via nonsmooth optimization

作者: Pierre Apkarian , Dominikus Noll , Aude Rondepierre

DOI: 10.1109/CDC.2009.5400165

关键词: Optimization methodsH controlControl theoryRobustness (computer science)Output feedbackRobust controlControl synthesisBundle methodsNumerical testsMathematics

摘要: We present a new approach to mixed 2 /H ∞ output feedback control synthesis. Our method uses nonsmooth mathematical programming techniques compute locally optimal -controllers, which may have predefined structure. prove global convergence of our and numerical tests validate it numerically.

参考文章(51)
Zhou, Doyle, Bodenheimer, Optimal control with mixed H2 and H¿ performance objectives american control conference. ,vol. 26, pp. 2065- 2070 ,(1989) , 10.1109/ACC.1989.4173546
K Glover, BA Francis, JC Doyle, PP Khargonekar, State-space solutions to standard H2 and H(infinity) control problems IEEE. ,(1989)
Jane Cullum, W. E. Donath, P. Wolfe, The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices Nondifferentiable Optimization. pp. 35- 55 ,(1975) , 10.1007/BFB0120698
D.J.N. Limebeer, B.D.O. Anderson, B. Hendel, A Nash game approach to mixed H/sub 2//H/sub /spl infin// control IEEE Transactions on Automatic Control. ,vol. 39, pp. 69- 82 ,(1994) , 10.1109/9.273340
C.W. Scherer, Multiobjective H/sub 2//H/sub /spl infin// control IEEE Transactions on Automatic Control. ,vol. 40, pp. 1054- 1062 ,(1995) , 10.1109/9.388682
C.W. Schere, Lower bounds in multi-objective H/sub 2//H/sub /spl infin// problems conference on decision and control. ,vol. 4, pp. 3605- 3610 ,(1999) , 10.1109/CDC.1999.827912
J. Doyle, K. Zhou, K. Glover, B. Bodenheimer, Mixed /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// performance objectives. II. Optimal control IEEE Transactions on Automatic Control. ,vol. 39, pp. 1575- 1587 ,(1994) , 10.1109/9.310031
Frank H. Clarke, Optimization and nonsmooth analysis ,(1983)
D. Arzelier, D. Peaucelle, An iterative method for mixed H/sub 2//H/sub /spl infin// synthesis via static output-feedback conference on decision and control. ,vol. 3, pp. 3464- 3469 ,(2002) , 10.1109/CDC.2002.1184411