Course PEF 3006 Process Control Fall 2018 State

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Course PEF 3006 Process Control Fall 2018 State estimation (Kalman filter) Av Finn Aakre

Course PEF 3006 Process Control Fall 2018 State estimation (Kalman filter) Av Finn Aakre Haugen (finn. haugen@usn. no) USN. PEF 3006 Process Control. Haugen. 2018. 1

A prosess with a state estimator: Real process A state estimator (or observer) is

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. Literature for further reading. State estimator or observer USN. PEF 3006 Process Control. Haugen. 2018. 2

Example: Kalman-filter for estimation of the states of a biogas reactor Article: State Estimation

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. PEF 3006 Process Control. Haugen. 2018. 3

Foss Farm (Skien, Norway) USN. PEF 3006 Process Control. Haugen. 2018. 4

Foss Farm (Skien, Norway) USN. PEF 3006 Process Control. Haugen. 2018. 4

USN. PEF 3006 Process Control. Haugen. 2018. 5

USN. PEF 3006 Process Control. Haugen. 2018. 5

The process (biogas reactor): USN. PEF 3006 Process Control. Haugen. 2018. 6

The process (biogas reactor): USN. PEF 3006 Process Control. Haugen. 2018. 6

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

AD model used: «Modified Hill model» (Hill, 1983, Haugen et al. , 2013) USN. PEF 3006 Process Control. Haugen. 2018. 7

Results with Kalman Filter: USN. PEF 3006 Process Control. Haugen. 2018. 8

Results with Kalman Filter: USN. PEF 3006 Process Control. Haugen. 2018. 8

Example: Kalman-filter for estimation of the outflow of a simulated water tank http: //techteach.

Example: Kalman-filter for estimation of the outflow of a simulated water tank http: //techteach. no/simview/kalmanfilter USN. PEF 3006 Process Control. Haugen. 2018. 9