Abstract
This chapter pertains of the observation and filtering of linear parameter-varying time-delay systems in the framework of parameter-dependent delay-differential equations and Lyapunov-Krasovskii functionals. Full-order and reduced order observers are first considered both in the memoryless and with-memory cases. Filters are discussed next. The results of this chapter have both corollaries in the non-delayed LPV systems and parameter-independent time-delay systems settings, and can thus be applied on these types of systems. Several examples with simulations are given for illustration.
No phenomenon is a real phenomenon until it is an observed phenomenon.
John Archibald Wheeler
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Notes
- 1.
Note, however, that it would be perhaps more relevant to consider \(x(t-h(t))\) as a bounded disturbance, i.e. \(x\in L_\infty \).
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Briat, C. (2015). Observation and Filtering of LPV Time-Delay Systems. In: Linear Parameter-Varying and Time-Delay Systems. Advances in Delays and Dynamics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44050-6_7
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DOI: https://doi.org/10.1007/978-3-662-44050-6_7
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