Title :
Ring pole assignment and variance-constrained synthetical control for random constant system
Author_Institution :
Basic Courses Dept., Lanzhou Polytech. Coll., Lanzhou, China
Abstract :
By using the Moore-Penrose inverse and the singular value decomposition theory, in this paper, the author designed controllers make the eigenvalues of the closed -loop system located in a ring of the unit circle, and the variance of each steady state compose to the given constraint. And author derives the existing sufficient and necessary conditions and the expression of solution by a modified algebraic Lyapunov matrix equation. The corresponding numerical example explains this method designed in practical engineering control system possible.
Keywords :
Lyapunov matrix equations; closed loop systems; control system synthesis; eigenvalues and eigenfunctions; singular value decomposition; Moore-Penrose inverse; author designed controller; closed-loop system; modified algebraic Lyapunov matrix equation; practical engineering control system; random constant system; ring pole assignment; singular value decomposition theory; steady state variance; variance-constrained synthetical control; Covariance matrix; Equations; Linear matrix inequalities; Matrices; State feedback; Steady-state; Symmetric matrices; Feedback Controllers; Lyapunov Equation; Random constant system; The Moore-Penrose inverse;
Conference_Titel :
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
Conference_Location :
Jilin
Print_ISBN :
978-1-61284-719-1
DOI :
10.1109/MEC.2011.6026021
