Simultaneously stabilising controllers for time-varying linear systems within the framework of nest algebras. (English) Zbl 1353.93042
Summary: From the perspective of strong transitivity, a controller design method is provided to simultaneously stabilise a collection of time-varying linear systems within the framework of nest algebras. In particular, all simultaneously stabilising controllers for a class of linear plants are characterised based on the doubly coprime factorisations. These results hold as well in the time-invariant case. An illustrative example is given to demonstrate the validity of the method.
MSC:
| 93B35 | Sensitivity (robustness) |
| 93D15 | Stabilization of systems by feedback |
| 93C05 | Linear systems in control theory |
| 93C55 | Discrete-time control/observation systems |
Keywords:
simultaneous stabilisation; controllers; time-varying linear systems; coprime factorisationsReferences:
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