Title :
Mixed L∞/H∞ controllers for SISO systems
Author :
Chen, Xin ; Wen, John T.
Author_Institution :
Dept. of Aeronaut. & Astronaut. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
This paper presents a rational mixed L∞/H∞ controller design method for SISO continuous time systems. The problem formulation involves minimizing the amplitude of a regulated output subject to a bounded fixed input of one closed-loop system while satisfying a frequency domain H∞ norm constraint on another closed-loop system. We show that the optimal solution can be approximated arbitrarily closely, in terms of the time domain L∞ norm, by solving a sequence of convex optimization over linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of this approach
Keywords :
H∞ control; approximation theory; closed loop systems; continuous time systems; control system synthesis; matrix algebra; minimisation; multidimensional systems; suboptimal control; SISO continuous time systems; bounded fixed input; closed-loop system; convex optimization; frequency domain H∞ norm constraint; linear matrix inequalities; mixed L∞/H∞ controllers; Aerospace engineering; Constraint optimization; Control systems; Delay; Design engineering; Design methodology; Frequency domain analysis; Linear matrix inequalities; Optimal control; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573135
