ESA in high‐order linear systems via output feedback

Abstract

This paper considers eigenstructure assignment in high‐order linear systems via output feedback. Parametric expressions for the left and right closed‐loop eigenvectors associated with the finite closed‐loop eigenvalues and two simple and complete parametric solutions for the feedback gain matrices are obtained on the basis of the parametric solutions of the generalized high‐order Sylvester matrix equations. This approach does not impose any restrictions on the closed‐loop eigenvalues. An illustrative example shows the effect of the proposed approach. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

Direct parametric control of fully-actuated second-order nonlinear systems—The normal case

“…where Z ∈ R n×2n is an arbitrary parameter matrix satisfying constraint (18). Moreover, the resulted closed-loop system isẊ [10] and [12].…”

Quaternion-based satellite attitude control—A direct parametric approach

“…Firstly, it is obvious that Assumption A2 holds since the JIv[ (x) coefficient matrix in the satellite attitude sys tem model (17)- (19) is identity.…”

“…In this section, we apply the general direct paramet ric approach for general nonlinear fully-actuated second order systems to the satellite attitude model in the nonlin ear matrix second-order quaternion form (17)- (19).…”

“…While when the system is converted into a first-order one, not only the physical meanings of the variables as well as the system coefficients vanishes, but also the advantages in controller design no longer exist. Very recently, in spired by his earlier work on control of second and high order linear systems (see, e.g., [16]- [19]) and solutions to second and high-order generalized Sylvester matrix e quations (see, e.g., [20]- [21]), the author has proposed a direct parametric control approach for a type of gener al fully-actuated second-order nonlinear systems ( [22]), which possesses several important features. °T In this paper, quaternion-based satellite attitude con trol is considered.…”

“…What is more, often it is easier and more convenient to find the controller for a second-order system (see, e.g., [16]- [19]). While when the system is converted into a first-order one, not only the physical meanings of the variables as well as the system coefficients vanishes, but also the advantages in controller design no longer exist.…”