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Observer Design with Gershgorin Disc and Application to System with Unknown Input


Affiliations
1 Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Suzhou, 210123, China
 

Observer design for system with unknown input was carried out. Kalman filter was considered to estimate system state with white noise.With the results of Kalman filter design, state observer, controller properties, including controllability and observability, and the Kalman filter structure and algorithm were also studied. Kalman filter algorithm was applied to Position and velocity measurement based on Kalman filter with white noise, and it was constructed and achieved by programming based on Matlab programming. Finally, observer for system with unknown input was constructed with the help of Gershgorin's disc theorem. With the designed observer, system states was constructed and applied to system with unknown input. By simulation results, estimation performance was verified.

Keywords

Estimation, Gershigorim’s Disc Theorem, Kalman Filter, Linear Minimum Variance Estimation, Linear System, Observer, Unknown Input.
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  • Observer Design with Gershgorin Disc and Application to System with Unknown Input

Abstract Views: 160  |  PDF Views: 30

Authors

Si Chen
Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Suzhou, 210123, China
Sanghyuk Lee
Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Suzhou, 210123, China

Abstract


Observer design for system with unknown input was carried out. Kalman filter was considered to estimate system state with white noise.With the results of Kalman filter design, state observer, controller properties, including controllability and observability, and the Kalman filter structure and algorithm were also studied. Kalman filter algorithm was applied to Position and velocity measurement based on Kalman filter with white noise, and it was constructed and achieved by programming based on Matlab programming. Finally, observer for system with unknown input was constructed with the help of Gershgorin's disc theorem. With the designed observer, system states was constructed and applied to system with unknown input. By simulation results, estimation performance was verified.

Keywords


Estimation, Gershigorim’s Disc Theorem, Kalman Filter, Linear Minimum Variance Estimation, Linear System, Observer, Unknown Input.

References