Contributions to the Problem of High-Gain Observer Design for Hyperbolic Systems
نویسندگان
چکیده
Kitsos, Constantinos Besan, Gildas Prieur, ChristopheThis chapter proposes some non-trivial extensions of the classical high-gain observerHigh-gain observer designs for finite-dimensionalFinite-dimensional nonlinear systemsNonlinear system to classes infinite-dimensional ones, written as triangular systems coupled first-order hyperbolic Partial Differential Equations (PDEs)Partial differential equation, where an observation one only coordinate state is considered system’s output. These forms may include epidemic models and tubular chemical reactors. To deal with this problem, depending on number distinct velocities system, direct indirect observerObserver are proposed. We first show intuitively how design can be applied quasilinear partial integrodifferential balance laws a single velocity, natural extension case. then introduce approach (up three velocities), infinite-dimensionalInfinite-dimensional transformation maps into suitable PDEsPartial equation convergence subsequently exhibited in appropriate norms. This leads use spatial derivatives output dynamics.
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ژورنال
عنوان ژورنال: Lecture Notes in Control and Information Sciences
سال: 2021
ISSN: ['0170-8643', '1610-7411']
DOI: https://doi.org/10.1007/978-3-030-74628-5_5