Abstract
The optimal actuation framework for parameter identification in distributed parameter systems is formulated in this chapter as an optimization problem using the concept of the Fisher information matrix. The problem is then reformulated into an optimal control one. With the help of the MATLAB PDE toolbox for the system simulations and RIOTS_95 MATLAB toolbox for solving the optimal control problem, we successfully obtain the optimal solutions for an illustrative example. Especially, this chapter introduces the optimal measurement/actuation framework for parameter identification in a cyber-physical system constituted of mobile sensors and actuators behaving in a distributed parameter system. The problem is similarly formulated as an optimization problem. Combined with the online scheme, this research represents a realistic application example of a CPS. Mobile sensors and actuators are communicating to achieve the parameter estimation of the physical system that they are monitoring/stimulating. An exciting application consists of center-pivot operations, where our research center has a project of using camera-equipped unmanned aerial vehicles for soil moisture measurement combined with irrigators to stimulate the farming field. Thanks to this framework, an accurate model of the soil dynamics can be derived, and water savings can be obtained via optimal operations of the center pivot.
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Tricaud, C., Chen, Y. (2012). Optimal Mobile Actuation/Sensing Policies for Parameter Estimation of Distributed Parameter Systems. In: Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems. Springer, London. https://doi.org/10.1007/978-1-4471-2262-3_6
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DOI: https://doi.org/10.1007/978-1-4471-2262-3_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2261-6
Online ISBN: 978-1-4471-2262-3
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