The resolution of the equationXA+XBX=HXand the pole assignment problem: A general approach
| Autor: | Hamid Maarouf |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
XBX Mathematical optimization Generalization 020208 electrical & electronic engineering 02 engineering and technology State (functional analysis) Resolution (logic) 020901 industrial engineering & automation Control and Systems Engineering Control theory Simple (abstract algebra) Full state feedback 0202 electrical engineering electronic engineering information engineering Point (geometry) Electrical and Electronic Engineering Assignment problem Mathematics |
| Zdroj: | Automatica. 79:162-166 |
| ISSN: | 0005-1098 |
| DOI: | 10.1016/j.automatica.2017.01.024 |
| Popis: | In this paper, we generalize an existing technique which is relevant to a pole placement problem and state feedback control design with constraints on control inputs. The existing technique concerns only a restrictive class of systems for which many assumptions should be satisfied. The generalization aims then at avoiding those assumptions. The advantages of generalizing this technique are to determine linear feedback controllers that asymptotically stabilize a wide class of systems which are subject to input constraints without violating these constraints, to derive a simple formula for the state feedback and to assign the whole spectrum when stable poles are not suitably located for performances. Moreover, there will be no need to assume a lack of overlap between open and closed-loop spectra. Illustrative examples are presented to point out these advantages. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect