Title :
A new design method for robust H2 controllers using Popov multipliers
Author :
Yang, Kyle Y. ; Hall, Steven R. ; Feron, Eric
Author_Institution :
Crystal Phys. & Opt. Electron. Lab., MIT, Cambridge, MA, USA
Abstract :
This paper presents a new method for designing full order, dynamic LTI controllers that provide guaranteed levels of H2 performance for systems with static, real, parametric uncertainties. The controllers are designed using a D-K iteration, i.e., by iterating between solutions of controller synthesis problem and a performance analysis problem. The controllers are synthesized by solving a set of coupled Riccati equations using a recently proposed iterative technique. Performance analysis is studied using a gradient optimization technique. In order to increase the utility of the method, the analysis and synthesis routines intentionally avoid the use of convex optimization routines, such as LMI solution codes. The design methodology is demonstrated on a realistic structural control problem, a model of the Middeck Active Control Experiment (MACE)
Keywords :
Popov criterion; Riccati equations; control system synthesis; iterative methods; linear systems; matrix algebra; optimal control; optimisation; robust control; uncertain systems; D-K iteration; H2 control; Middeck Active Control Experiment; Popov multipliers; Riccati equations; dynamic LTI systems; full order systems; iterative method; linear time invariant systems; matrix algebra; optimization; robust control; uncertain systems; Control system synthesis; Control systems; Design methodology; Linear matrix inequalities; Lyapunov method; Optimization methods; Performance analysis; Riccati equations; Robust control; Robust stability;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.609731