Title :
Controller design to optimize a composite performance measure
Author :
Salapaka, M.V. ; Voulgaris, P.G. ; Dahleh, M.
Author_Institution :
California Univ., Santa Barbara, CA, USA
Abstract :
This paper studies a “mixed” objective problem of minimizing a composite measure of the l1, ℋ2, and l∞ norms together with the l∞ norm of the step response of the closed loop. This performance index can be used to generate Pareto optimal solutions with respect to the individual measures. The problem is analysed for the discrete time, single-input single-output (SISO), linear time invariant systems. It is shown via the Lagrange duality theory that the problem can be reduced to a convex optimization problem with a priori known dimension. In addition, continuity of the unique optimal solution with respect to changes in the coefficients of the linear combination is established
Keywords :
H∞ control; closed loop systems; control system synthesis; convex programming; discrete time systems; duality (mathematics); performance index; step response; ℋ2 norm; Lagrange duality theory; Pareto optimal solutions; closed loop; composite norm measure minimization; composite performance measure optimization; controller design; convex optimization problem; discrete-time SISO linear time-invariant systems; l∞ norm; l1 norm; mixed objective problem; step response; Control systems; Design optimization; Functional analysis; Lagrangian functions; Output feedback; Particle measurements; Performance analysis; Time invariant systems; Topology; Vectors;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479083
