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Robust Kalman filtering for uncertain discrete-time systems. (English) Zbl 0812.93069
Summary: This note is concerned with the problem of a Kalman filter design for uncertain discrete-time systems. The system under consideration is subjected to time-varying norm-bounded parameter uncertainty in both the state and output matrices. The problem addressed is the design of a linear filter such that the variance of the filtering error is guaranteed to be within a certain bound for all admissible uncertainties. Furthermore, the guaranteed cost can be optimized by appropriately searching a scaling design parameter.

MSC:
93E11Filtering in stochastic control
93C55Discrete-time control systems
93B55Pole and zero placement problems
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