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Solution of the H optimal linear filtering problem for discrete-time systems. (English) Zbl 0712.93053
Summary: The solution of 2 (minimum variance) and H estimation problems is considered using a polynomial systems approach. The results for the 2 -filtering problem which corresponds with Wiener or Kalman filtering/prediction, are first presented in polynomial matrix form. Attention then turns to the solution of the H estimation problem for scalar systems. Numerous examples are presented to illustrate the computational procedures. The two types of estimator are appropriate to very different estimation problems and the new H devices should be valuable in certain application areas.
MSC:
93E11Filtering in stochastic control
93C55Discrete-time control systems