Sampled-Data Observers

How do you design a sampled-data observer?

The concept of the "inter-sample output predictor" and its use in parallel with a conventional observer which is designed on the assumption that the output is continuously available was introduced in the paper

• I. Karafyllis and C. Kravaris, “From Continuous-Time Design to Sampled-Data Design of Observers”, IEEE Transactions on Automatic Control, 54(9), 2009, pp. 2169-2174.

and was later explored and developed in the following papers for many classes of systems: 

• T. Ahmed-Ali, I. Karafyllis and F. Lamnabhi-Lagarrigue, “Global Exponential Sampled-Data Observers for Nonlinear Systems with Delayed Measurements”, Systems & Control Letters, 62(7), 2013, pp. 539-549.

• T. Ahmed-Ali, I. Karafyllis, F. Giri, M. Krstic, F. Lamnabhi-Lagarrigue, “Exponential Stability Analysis of Sampled-Data ODE-PDE Systems and Application to Observer Design”, IEEE Transactions on Automatic Control, 62(6), 2017, pp. 3091-3098.

• T. Ahmed-Ali, I. Karafyllis, F. Giri and M. Krstic, “Sampled Boundary Observer For Strict-Feedback Nonlinear ODE Systems with Parabolic PDE Sensor”, Automatica, 101, 2019, pp. 439-449.

• I. Karafyllis, T. Ahmed-Ali and F. Giri, “Sampled-Data Observers for 1-D Parabolic PDEs with Non-Local Outputs”, Systems & Control Letters, 133, 2019, 104553.

• I. Karafyllis, T. Ahmed-Ali and F. Giri, “A Note on Sampled-Data Observers”, Systems & Control Letters, 144, 2020, 104760.

• T. Ahmed-Ali, I. Karafyllis and F. Giri, “Sampled-Data Observers for Delay Systems and Hyperbolic PDE-ODE Loops”, Automatica, 123, 2021, 109349.

• I. Karafyllis and T. Ahmed-Ali, “Sampled-Data Observer Design for Linear Kuramoto-Sivashinsky Systems with Non-Local Output”, Automatica, 165, 2024, 111664.