On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback. (English) Zbl 1483.93512
Summary: For a given system with time-invariant affine uncertainties, ranging in a unit hypercube or, equivalently, in a hyper-rectangle, new LMI sufficient conditions for the verification of a given simultaneous static-output-feedback for hypercube nodes, being robust static-output-feedback for the whole system, are proved. The conditions generalise previous results in the sense that we do not assume that the state-to-measurement or the input-to-state matrix is constant. Based on the LMI conditions, a randomised algorithm is suggested. The effectiveness of the method is reinforced through experiments on real-life systems.
MSC:
| 93D21 | Adaptive or robust stabilization |
| 93D15 | Stabilization of systems by feedback |
| 93C05 | Linear systems in control theory |
Keywords:
continuous-time linear systems; state-space representation; feedback stability; robust stabilisabiliy; simultaneous stabilisation; static-output-feedbacks; NP-hard control problems; randomised algorithmsReferences:
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