Optimal Mobile Actuation Policy for Parameter Estimation of Distributed Parameter Systems ∗
نویسندگان
چکیده
The “model-analysis-design” process in dynamic systems control has been widely recognized. In both physical and mathematical modeling, the optimal parameter estimation is essential in successful control designs. Successful parameter estimation relies not only on “good” measurements and observations, but also on “rich” excitation of the system. These are all known concepts in system identification for finite dimensional systems. In the present work, the system to be modeled is of distributed parameter nature (i.e. the states evolve along both time and space axes). Clearly, common finite-dimensional input-output relationships cannot be adopted to characterize the system and in turn, one needs to rely on partial differential equations (PDEs) for modeling. However, determining a rich excitation to increase the relevance of observations and measurements of the states of a distributed parameter system is not a straightforward task. One needs to consider the actuation capabilities as well as location of the sensors so that the gathered information best helps the parameter
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