Back to Search
Start Over
On pole assignment in linear systems with incomplete state feedback
- Source :
- IEEE Transactions on Automatic Control. 15:348-351
- Publication Year :
- 1970
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 1970.
-
Abstract
- The following system is considered: \dot{x}= Ax + Bu y = Cx where x is an n vector describing the state of the system, u is an m vector of inputs to the system, and y is an l vector ( l \leq n ) of output variables. It is shown that if rank C = l , and if (A,B) are controllable, then a linear feedback of the output variables u = K*y, where K*is a constant matrix, can always be found, so that l eigenvalues of the closed-loop system matrix A + BK*C are arbitrarily close (but not necessarily equal) to l preassigned values. (The preassigned values must be chosen so that any complex numbers appearing do so in complex conjugate pairs.) This generalizes an earlier result of Wonham [1]. An algorithm is described which enables K*to be simply found, and examples of the algorithm applied to some simple systems are included.
- Subjects :
- Complex conjugate
Rank (linear algebra)
Linear system
n-vector
State (functional analysis)
Computer Science Applications
Combinatorics
Matrix (mathematics)
Control and Systems Engineering
Control theory
Electrical and Electronic Engineering
Complex number
Eigenvalues and eigenvectors
Mathematics
Subjects
Details
- ISSN :
- 00189286
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control
- Accession number :
- edsair.doi...........7b0a0bfe078eb3329ee81ce108f4ec83