Title :
Controller Design for Preview and Delayed Systems
Author_Institution :
Grad. Sch. of Syst. Design, Tokyo Metropolitan Univ., Hino, Japan
Abstract :
The H∞ control problem of general preview/delayed systems is solved using analytic solutions of the corresponding operator Riccati equations. The solution to the problem can be applied to a broad range of input/output delayed systems and enables the handling of preview/delayed control problems. The solvability condition is characterized by the roots of the transcendental equations and the control law for the general problem is given based on a predictive compensation with an integro-differential observer. Some interpretations of typical control problems are presented based on the solvability condition and the resulting control law.
Keywords :
H∞ control; compensation; computability; control system synthesis; delays; observers; predictive control; H∞ controller design; Riccati equations; control law; input-output delayed systems; integro-differential observer; predictive compensation; preview system; solvability condition; transcendental equations; Bismuth; Delays; Eigenvalues and eigenfunctions; Output feedback; Riccati equations; Smoothing methods; $H^{infty}$ control; Delayed system; operator Riccati equation; preview control; state-space approach;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2354911