کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
694602 | 890160 | 2008 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Hybrid Estimation of State and Input for Linear Discrete Time-varying Systems: A Game Theory Approach Hybrid Estimation of State and Input for Linear Discrete Time-varying Systems: A Game Theory Approach](/preview/png/694602.png)
The H∞ hybrid estimation problem for linear discrete time-varying systems is investigated in this paper, where estimated signals are linear combination of state and input. Design objective requires the worst-case energy gain from disturbance to estimation error to be less than a prescribed level. Optimal solution of the hybrid estimation problem is the saddle point of a two-player zero sum differential game. On the basis of the differential game approach, necessary and sufficient solvable conditions for the hybrid estimation problem are provided in terms of solutions to a Riccati differential equation. Moreover, one possible estimator is proposed if the solvable conditions are satisfied. The estimator is characterized by a gain matrix and an output mapping matrix, where the latter reflects the internal relations between unknown input and output estimation error. At last, a numerical example is provided to illustrate the proposed approach.
Journal: Acta Automatica Sinica - Volume 34, Issue 6, June 2008, Pages 665-669