Abstract
This chapter pertains of the control of linear parameter-varying time-delay systems in the framework of parameter-dependent differential equations and Lyapunov-Krasovskii functionals. State-feedback and output-feedback controllers are considered both in the memoryless and with-memory cases. Controllers with approximate memory, which implement a different delay than the one in the system, are also introduced and shown to generalize the concepts of memoryless controllers and controllers with exact memory. Some examples with simulations are given for illustration.
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Notes
- 1.
We drop the dependence on the parameters to improve clarity.
- 2.
Avoiding this simplification is possible; see e.g. [16].
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Briat, C. (2015). Control 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_8
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DOI: https://doi.org/10.1007/978-3-662-44050-6_8
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