𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Eigenvalue placement for generalized linear systems

✍ Scribed by Vinicius A. Armentano

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
301 KB
Volume
4
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

This paper deals with some aspects of eigenvalue placement by state feedback for generalized linear systems described by Ei = Ax + Bu, where E is a singular map. It is shown that controllability of the infinite eigenvalues of the pencil (SE -A) is equivalent to the existence of a state feedback map which assigns those eigenvalues to pre-specified complex numbers. A procedure for the assignment of all eigenvalues to distinct complex numbers is also discussed.

πŸ“œ SIMILAR VOLUMES

Linear systems with bounded inputs: glob
Linear systems with bounded inputs: global stabilization with eigenvalue placement
✍ Rodolfo SuΓ‘rez; JosΓ© Álvarez-RamΓ­rez; Julio SolΓ­s-Daun πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 132 KB πŸ‘ 2 views

This work presents a technique for obtaining a bounded continuous feedback control function which stabilizes a linear system in a certain region. If the open-loop system has no eigenvalues with positive real part, the region of attraction of the resulting closed-loop system is all 1L, i.e., the feed

Robust eigenvalue assignment for general
Robust eigenvalue assignment for generalized systems
✍ V.L. Syrmos; F.L. Lewis πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 539 KB

In this paper we examine the problem of robust pole placement using state-feedback in generalized systems. We develop a robustness theory for the finite generalized spectrum of the system as a partial problem, and for the "infinite" pole placement problem as a second partial problem where perfect co

Optimal pole placement with prescribed e
Optimal pole placement with prescribed eigenvalues for continuous systems
✍ Abdul-Razzaq S. Arar; Mahmoud E. Sawan πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 516 KB

A recursive method jOr determining the state weighting matrix qf a linear quadratic regulator problem in order to shift the open loop poles to the desired locations is presented. This method is capable of shifiing the real and imaginary parts.for continuous time systems. Aggregation is used in each

Linear quadratic regulators with eigenva
Linear quadratic regulators with eigenvalue placement in a specified region
✍ Leang S. Shieh; Hani M. Dib; Sekar Ganesan πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 441 KB

A linear optimal quadratic regulator is developed for optimally placing the closed-loop poles of multivariable continuous-time systems within the common region of an open sector, bounded by lines inclined at +zt/2k (k = 2 or 3) from the negative real axis with a sector angle ---~t/2, and the left-ha