State observer design for quadratic parameter varying (QPV) systems
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This paper addresses the problem of state observation in quadratic parameter varying (QPV) systems. In particular, a state observer is designed in such a way that the estimation error converges to zero with a desired rate of convergence in a given polytopic region of the error space. Under some assumptions, it is shown that design conditions can be given in the form of a set of bilinear matrix inequalities (BMIs), which can be reduced to linear matrix inequalities (LMIs), which are computationally more tractable. The main characteristics of the proposed approach are illustrated by means of an example, which confirms the validity of the theoretical results.