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- Title
Poles and zeros assignment by state feedbacks in positive linear systems.
- Authors
KACZOREK, Tadeusz
- Abstract
Poles and zeros assignment problem by state feedbacks in positive continuous-time and discrete-time systems is analyzed. It is shown that in multi-input multi-output positive linear systems by state feedbacks the poles and zeros of the transfer matrices can be assigned in the desired positions. In the positive continuous-time linear systems the feedback gain matrix can be chosen as a monomial matrix so that the poles and zeros of the transfer matrices have the desired values if the input matrix B is monomial. In the positive discrete-time linear systems to solve the problem the matrix B can be chosen monomial if and only if in every row and every column of the n × n system matrix A the sum of n-1 its entries is less than one.
- Subjects
POSITIVE systems; POLE assignment; STATE feedback (Feedback control systems); TRANSFER matrix; PROBLEM solving
- Publication
Archives of Control Sciences, 2021, Vol 31, Issue 3, p593
- ISSN
1230-2384
- Publication type
Article
- DOI
10.24425/acs.2021.138693