Title :
Eigenstructure Assignment for Linear Systems with Constraints on Input and Its Rate via State Feedback - A Parametric Approach
Author :
Xue, Yu ; Duan, Guang-Ren
Author_Institution :
Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol.
Abstract :
A parametric approach for eigenstructure assignment for linear systems with constraints on input and its rate via state feedback is proposed. Based on the parametric solution to a Sylvester matrix equation, parameterizations of all the state feedback control matrices and the closed-loop eigenvector matrices are established in a group of parameters. The positive invariance condition can be inverted into constraints on the group of parameters. Under such state feedback controller, the trajectories of the input and its rate remain in a positively invariant set. The parametric method offers more the design degrees of freedom, which can be utilized to achieve certain desired properties and performances in the design of control systems. Two numerical examples show the effect of the proposed approach
Keywords :
closed loop systems; control system synthesis; eigenstructure assignment; linear systems; matrix algebra; state feedback; Sylvester matrix equation; closed-loop eigenvector matrix; control system design; eigenstructure assignment; linear system; state feedback control matrix; Actuators; Constraint theory; Control systems; Control theory; Equations; Linear feedback control systems; Linear systems; Stability; State feedback; Vectors; Eigenstructure assignment; Sylvester matrix equations; constrained input; linear systems; parametric solutions; positive invariance; rate constraints;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.315410
