Title :
Solving a class of rank minimization problems via semi-definite programs, with applications to the fixed order output feedback synthesis
Author :
Mesbahi, Mehran ; Papvassiloupoulos, G.P.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
Abstract :
We apply certain recent results pertaining to the rank minimization problem under LMI constraints to determine non-trivial lower and upper bounds for the minimal order dynamic output feedback which stabilizes a given linear time invariant plant, via semi-definite programs
Keywords :
control system synthesis; feedback; linear systems; matrix algebra; minimisation; robust control; LMI constraints; control system synthesis; fixed order output feedback; linear matrix inequality; linear time invariant systems; lower bounds; rank minimization problem; semidefinite programs; upper bounds; Control system synthesis; Control systems; Ear; Laboratories; Linear matrix inequalities; Lyapunov method; Output feedback; Propulsion; Symmetric matrices; Upper bound;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611758
