Objective
Stability of linear control systems with uncertain parameters can be analysed by families of characteristic polynomials whose coefficients depend on the uncertain parameters. In the case of linear parameter dependence there exists a well developed theory. The aim of this joint research is to explore the important case in practice of non-linear parameter dependence.
The research will be oriented in three directions: find classes of non-linear polynomial families for which there exists a testing set such that stability of the testing set guarantees stability of the entire family; find classes of non-linear polynomial families for which the computation of the boundary of the value set becomes simple; analyse the robust stability of a control loop consisting of an uncertain linear plant and an uncertain sector-bounded non-linearity.
Topic(s)
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53100 Siena
Italy