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. Attached Files Name Description MIMEType Size Downloads Title Minimal multi-functional observers for linear systems using a direct approach Author(s) Mohajerpoor, Reza Abdi, Hamid orcid.org/0000-0001-6597-7136 Nahavandi, Saeid orcid.org/0000-0002-0360-5270 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 Technology Automation & Control Systems Engineering, Electrical & Electronic Engineering functional observers functional observability/detectability Sylvester equation generalized inverse FAULT-DETECTION DESIGN EXISTENCE 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 Persistent URL http://hdl.handle.net/10536/DRO/DU:30082306 Document type: Conference Paper Collections: Institute for Intelligent Systems Research and Innovation (IISRI) GTP Research Related Links Link Description Connect to published version Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Fri, 18 Mar 2016, 09:58:56 EST Sat, 19 Mar 2016, 04:16:35 EST Mon, 18 Apr 2016, 14:25:02 EST Tue, 19 Apr 2016, 06:06:33 EST Tue, 17 May 2016, 14:04:05 EST Tue, 17 May 2016, 14:10:59 EST Wed, 09 Nov 2016, 11:38:15 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 1 times in Scopus Search Google Scholar Access Statistics: 482 Abstract Views, 4 File Downloads  -  Detailed Statistics Created: Mon, 18 Apr 2016, 14:25:02 EST

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