H¿ optimal sampled-data state observer design

The problem of sampled-data state reconstruction in linear time invariant systems is considered. A new full order observer structure that can generate intersample state estimation is introduced. The observer synthesis is carried out using the H/sub /spl infin// framework and is shown to have some important advantages over the classical lifting technique that has been used to study similar problems. A simulation example illustrates the application of the proposed design in the fast rate fault detection problem.

[1]  Richard Weber,et al.  The use of secondary measurements to improve control , 1972 .

[2]  A. Jazwinski.  Stochastic Processes and Filtering Theory , 1970 .

[3]  Thomas Kailath,et al.  Linear Systems , 1980 .

[4]  D. G. Meyer.  A parametrization of stabilizing controllers for multirate sampled-data systems , 1990 .

[5]  Manfred Morari,et al.  Robust measurement selection , 1991, Autom..

[6]  Torsten Jeinsch,et al.  A unified approach to the optimization of fault detection systems , 2000 .

[7]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

[8]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: A survey and some new results , 1990, Autom..

[9]  Steven X. Ding,et al.  Model-based fault diagnosis in technical processes , 2000 .

[10]  D. Luenberger.  An introduction to observers , 1971 .

[11]  Horacio J. Marquez,et al.  A frequency domain approach to state estimation , 2003, J. Frankl. Inst..

[12]  Panos J. Antsaklis,et al.  Linear Systems , 1997 .

[13]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[14]  D. G. Meyer,et al.  Cost translation and a lifting approach to the multirate LQG problem , 1992 .

[15]  Paul M. Frank,et al.  Sensor Fault Detection via Robust Observers , 1987 .

[16]  J. A. Rossiter,et al.  A comparison of lifting and inferential control for multi-rate systems , 2003, Proceedings of the 2003 American Control Conference, 2003..

[17]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[18]  D. M. Himmelblau,et al.  Instrument fault detection in systems with uncertainties , 1982 .