Title :
H2 and H∞ -optimal control for the tracking problem with zero variation
Author :
Assunçao, E. ; Andrea, C.Q. ; Teixeira, M.C.M.
Author_Institution :
Dept. of Electr. Eng., UNESP Univ. Estadual Paulista, Ilha Solteira Sao Paulo
fDate :
5/1/2007 12:00:00 AM
Abstract :
The problem of signal tracking, in the presence of a disturbance signal in the plant, is solved using a zero-variation methodology. A state feedback controller is designed in order to minimise the Hscr 2-norm of the closed-loop system, such that the effect of the disturbance is attenuated. Then, a state estimator is designed and the modification of the zeros is used to minimise the Hscrinfin -norm from the reference input signal to the error signal. The error is taken to be the difference between the reference and the output signals, thereby making it a tracking problem. The design is formulated in a linear matrix inequality framework, such that the optimal solution of the stated control problem is obtained. Practical examples illustrate the effectiveness of the proposed method
Keywords :
Hinfin control; control system synthesis; linear matrix inequalities; minimisation; pole assignment; state estimation; state feedback; H2 optimal control; Hinfin optimal control; closed-loop system; disturbance signal; error signal; linear matrix inequality framework; optimal solution; reference input signal; signal tracking; state estimator; state feedback controller; tracking problem; zero variation; zero-variation methodology;
Journal_Title :
Control Theory & Applications, IET
