State estimation (Kalman filter)

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Presentation transcript:

State estimation (Kalman filter) Course PEF3006 Process Control Fall 2018 State estimation (Kalman filter) Av Finn Aakre Haugen (finn.haugen@usn.no) USN. PEF3006 Process Control. Haugen. 2018.

A prosess with a state estimator: Real process A state estimator (or observer) is in principle a real-time process simulator that runs on a computer, in parallel with the physical process. The states of the simulator (estimator) are updated by the error or deviation between of the real measurement and the simulated (predicted) measurement. State estimator or observer Literature for further reading. USN. PEF3006 Process Control. Haugen. 2018.

Example: Kalman-filter for estimation of the states of a biogas reactor Article: State Estimation and Model-Based Control of a Pilot Anaerobic Digestion Reactor (https://www.hindawi.com/journals/jcse/2014/572621/) USN. PEF3006 Process Control. Haugen. 2018.

Foss Farm (Skien, Norway) USN. PEF3006 Process Control. Haugen. 2018.

USN. PEF3006 Process Control. Haugen. 2018.

The process (biogas reactor): USN. PEF3006 Process Control. Haugen. 2018.

AD model used: «Modified Hill model» (Hill, 1983, Haugen et al., 2013) USN. PEF3006 Process Control. Haugen. 2018.

USN. PEF3006 Process Control. Haugen. 2018. Results with Kalman Filter: USN. PEF3006 Process Control. Haugen. 2018.

Kalman-filter for estimation of the outflow of a simulated water tank Example: Kalman-filter for estimation of the outflow of a simulated water tank http://techteach.no/simview/kalmanfilter USN. PEF3006 Process Control. Haugen. 2018.