Minimal multi-functional observers for linear systems using a direct approach

Mohajerpoor, Reza, Abdi, Hamid and Nahavandi, Saeid 2015, Minimal multi-functional observers for linear systems using a direct approach, in CCA 2015: Proceedings of the 2015 IEEE Conference on Control and Applications, IEEE, Piscataway, N.J., pp. 1266-1271, doi: 10.1109/CCA.2015.7320786.

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Title Minimal multi-functional observers for linear systems using a direct approach
Author(s) Mohajerpoor, Reza
Abdi, HamidORCID iD for Abdi, Hamid
Nahavandi, SaeidORCID iD for Nahavandi, Saeid
Conference name IEEE Conference on Control and Applications (2015: Sydney, N.S.W.)
Conference location Sydney, N.S.W.
Conference dates 21-23 Sep. 2015
Title of proceedings CCA 2015: Proceedings of the 2015 IEEE Conference on Control and Applications
Publication date 2015
Series IEEE International Conference on Control Applications
Start page 1266
End page 1271
Total pages 6
Publisher IEEE
Place of publication Piscataway, N.J.
Keyword(s) Science & Technology
Automation & Control Systems
Engineering, Electrical & Electronic
functional observers
functional observability/detectability
Sylvester equation
generalized inverse
Summary The direct approach in designing functional observers was first presented in [1] for estimating a single function of the states of a Linear Time-Invariant (LTI) system. One of the benefits of the direct scheme is that it does not require solving the interconnected Sylvester equations that appear in the other observer design approaches. In the present paper, the direct approach is extended to reconstruct multiple functions of the states in such a way that the minimum possible order of the observer is achieved. The observer is designed so that an asymptotic functional observer can be obtained with arbitrary convergence rate. In the proposed methodology, it is not necessary that a reduced order observer exists for the desired functions to be estimated. To release this limitation, an algorithm is employed to find some auxiliary functions in the minimum required number to be appended to the desired functions. This method assumes that the system is functional observable. This assumption however is less restrictive than the observability and detectability conditions of the system. A numerical example and simulation results explain the efficacy and the benefits of the proposed algorithm.
ISSN 1085-1992
Language eng
DOI 10.1109/CCA.2015.7320786
Field of Research 090602 Control Systems, Robotics and Automation
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category E1 Full written paper - refereed
ERA Research output type E Conference publication
Copyright notice ©2015, IEEE
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