High-Gain Observer Design for a Class of Hyperbolic Systems of Balance Laws

Considering a class of hyperbolic systems of balance laws with distributed measurements, and possibly distributed effects of known inputs, a structure suitable for uniform observability is first emphasized. Sufficient conditions for an explicit high-gain observer design are then derived for special cases of such systems. The stability of the related observer estimation error is fully established by means of Lyapunov-based techniques, and a numerical example finally illustrates the results.

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