Title :
Robust control for a benchmark problem via nonlinear matrix inequalities
Author :
Collins, Emmanuel G., Jr. ; Sadhukhan, Debashis ; Watson, Layne T.
Author_Institution :
Dept. of Mech. Eng., Florida State Univ., Tallahassee, FL, USA
Abstract :
When the LMI formulations for mixed structured singular value analysis is extended to robust synthesis, it leads to nonlinear matrix inequalities (NMI), and under certain conditions bilinear matrix inequalities (BMI), a special case of NMI. In this paper an improved continuation algorithm for the solution of NMI, which requires the solution of a series of LMI, is proposed. The use of this algorithm is illustrated by designing a fixed-structure robust controller for a benchmark problem
Keywords :
control system synthesis; robust control; singular value decomposition; BMI; NMI; bilinear matrix inequalities; continuation algorithm; fixed-structure robust controller design; mixed structured singular value analysis; nonlinear matrix inequalities; robust synthesis; Algorithm design and analysis; Computer science; Convergence; Eigenvalues and eigenfunctions; H infinity control; Linear matrix inequalities; Mathematics; Mechanical engineering; Robust control; Springs;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.694730
