Suppose we have a lipschitz nonlinear system with a disturbance input. The disturbance is of decaying exponential like nature with an upper bound known.
System: x_dot = f(x) + g(x)u(t) + d(t)
where, x:state; u(t): control input; d(t): Disturbance input
How can we design nonlinear observer for such system?
It will be difficult.
Very simple and efficient (robust) you can transform a nonlinear system in any state with disturbance on input to the linear system with an acceptable error.
https://www.researchgate.net/project/An-adaptive-algorithm-for-optimal-control-of-nonlinear-systems
Dear Anirudh,
Also i suggest to see links and useful attached files in topics.
- Fault Detection, Supervision and Safety of Technical Processes 2006: ...
https://books.google.dz/books?isbn=008055539X
- State and disturbance estimation for nonlinear systems affine in the ...
www-unix.ecs.umass.edu/che/henson_group/.../cce98k.pdf
Best regards
Search for "robust nonlinear filtering" and "robust nonlinear observer design". There is a large body of literature (including my own papers). The two main competing approaches are nonlinear Hinf and UKF.
Please refer to these articles:
https://www.researchgate.net/publication/313576646_From_PID_to_Nonlinear_State_Error_Feedback_Controller
https://www.researchgate.net/publication/312046377_Improved_Sliding_Mode_Nonlinear_Extended_State_Observer_based_Active_Disturbance_Rejection_Control_for_Uncertain_Systems_with_Unknown_Total_Disturbance
https://www.researchgate.net/publication/309655805_On_the_Improved_Nonlinear_Tracking_Differentiator_based_Nonlinear_PID_Controller_Design
Article From PID to Nonlinear State Error Feedback Controller
Article Improved Sliding Mode Nonlinear Extended State Observer base...
Article On the Improved Nonlinear Tracking Differentiator based Nonl...
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