Title :
Simultaneous synthesis of weights and controllers in ℋ∞ loop-shaping
Author :
Lanzon, Alexander
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
Several steps of the standard ℋ∞ loop-shaping design procedure are combined into one optimization problem that maximizes the robust stability margin over the loop-shaping weights subject to constraints which ensure that the loop-shape and the singular values/condition numbers of the weights lie in pre-specified regions. Thus, loop-shaping weights, which can be required to have either a diagonal or a non-diagonal structure, and a robustly stabilizing controller are simultaneously synthesized by one algorithm in a systematic way. This approach greatly simplifies the often long and tedious process of designing "good" loop-shaping weights directly and allows the designer to quickly get an idea of what is attainable
Keywords :
H∞ control; control system synthesis; feedback; matrix algebra; optimisation; robust control; H∞ loop-shaping; H∞ control; controllers synthesis; diagonal structure; loop-shaping weights; nondiagonal structure; optimization problem; performance optimization; robust control; robust stability margin; simultaneous synthesis; weights synthesis; Aerospace engineering; Constraint optimization; Design methodology; Design optimization; Frequency domain analysis; Optimal control; Process design; Robust control; Robust stability; Weight control;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980181
