Title :
Positive real ℋ∞ controller design-an LMI approach
Author :
Chen, Xin ; Wen, John T.
Author_Institution :
Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
Abstract :
This paper presents a solution to the ℋ∞ control problem for an extended strictly positive real plant subject to the constraint that the controller is positive real. Under a fixed order approximation of an ℛℋ∞ parameter, a necessary and sufficient condition is given in terms of a system of linear matrix inequalities. A flexible beam example is included to illustrate the design methodology
Keywords :
H∞ control; closed loop systems; control system synthesis; transfer function matrices; closed loop H∞ norm; design methodology; fixed order approximation; flexible beam; linear matrix equality; necessary condition; optimal control; positive real H∞ controller; sufficient condition; transfer matrix; Control systems; Design methodology; Flexible structures; Linear matrix inequalities; Matrix converters; Output feedback; Performance gain; Robust control; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.533783
