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Theoretical advance for switched LPV systems; leaves open practical validation before engineering adoption.
In this note, the model reduction problem for a class of discrete-time switched linear parameter varying systems under average dwell time switching is investigated. A parameterized reduced-model is constructed and the corresponding existence conditions of such models are derived via strict LMI formulation. The minimal average dwell time among all the subsystems and the desired reduced system are obtained such that the resulting model error system is exponentially stable and has a guaranteedl2-linfinerror performance. A numerical example is given to demonstrate the potential and effectiveness of the developed theoretical results.
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Zhang et al. (2008) studied this question.
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