Abstract
This chapter presents very important definitions in the framework of DPSs. We define the dynamic equations of the system and give mathematical descriptions of a sensor and an actuator. From those definitions we introduce the concepts of regional controllability and observability. Then, we describe the dynamics of the system in an appropriate way for the FIM framework of optimal sensor location for parameter estimation. We give the definitions of the parameter estimation and optimal sensor location. Finally, we discuss two of the important issues of the FIM framework: the sensor clustering phenomenon and the dependence of the solution on initial parameter estimates using an illustrative example.
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Tricaud, C., Chen, Y. (2012). Distributed Parameter Systems: Controllability, Observability, and Identification. In: Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems. Springer, London. https://doi.org/10.1007/978-1-4471-2262-3_2
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DOI: https://doi.org/10.1007/978-1-4471-2262-3_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2261-6
Online ISBN: 978-1-4471-2262-3
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