Title :
Transient response shaping in H∞ control by eigenstructure assignment to convex regions
Author :
Satoh, Atsushi ; Okubo, Junro ; Sugimoto, Kenji
Author_Institution :
Graduate Sch. of Inf. Sci., Nara Inst. of Sci. & Technol., Japan
Abstract :
In this paper, eigenstructure assignment to a set of convex regions is proposed. Transient response shaping of H∞ control via the proposed approach is also discussed. Firstly, closed-loop eigenvalue (pole) assignment to a set of convex Lyapunov regions is proved via rank-one LMI (linear matrix inequality) approach. Secondly, as the first result of this paper, eigenstructure assignment to convex regions is proved. Closed-loop eigenvector misalignment angle bound condition is reduced to a rank-one LMI condition and easily combined with the eigenvalue assignment problem. Finally, as the second result of this paper, transient response shaping in H∞ control by the presented approach is proposed. By using the presented loose assignment approach, design trade-off between the closed-loop eigenstructure assignment and H∞ condition can be easily considered. These two conditions are connected via enhanced LMI characterization.
Keywords :
H∞ control; Lyapunov methods; closed loop systems; eigenstructure assignment; transient response; H∞ control; LMI approach; closed-loop eigenvalue; convex Lyapunov regions; convex regions; eigenstructure assignment; eigenvalue assignment problem; linear matrix inequality; transient response shaping; Aerospace control; Damping; Eigenvalues and eigenfunctions; Frequency; Information science; Linear matrix inequalities; Propulsion; Shape control; State feedback; Transient response;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272959