Minimal unknown-input functional observers for multi-input multi-output LTI systems

Mohajerpoor, Reza, Abdi, Hamid and Nahavandi, Saeid 2015, Minimal unknown-input functional observers for multi-input multi-output LTI systems, Journal of process control, vol. 35, pp. 143-153, doi: 10.1016/j.jprocont.2015.09.002.

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Title Minimal unknown-input functional observers for multi-input multi-output LTI systems
Author(s) Mohajerpoor, Reza
Abdi, HamidORCID iD for Abdi, Hamid
Nahavandi, SaeidORCID iD for Nahavandi, Saeid
Journal name Journal of process control
Volume number 35
Start page 143
End page 153
Total pages 11
Publisher Elseiver
Place of publication Amsterdam, The Netherlands
Publication date 2015-11
ISSN 0959-1524
Keyword(s) Science & Technology
Automation & Control Systems
Engineering, Chemical
Unknown-input observers
Functional observers
Unknown-input functional observability
Generalized inverse
Summary Designing minimum possible order (minimal) disturbance-decoupled proper functional observers for multi-input multi-output (MIMO) linear time-invariant (LTI) systems is studied. It is not necessary that a minimum-order unknown-input functional observer (UIFO) exists in our proposed design procedure. If the minimum-order observer cannot be attained, the observer's order is increased sequentially through a recursive algorithm, so that the minimal order UIFO can be obtained. To the best of our knowledge, this is the first time that this specific problem is addressed. It is assumed that the system is unknown-input functional detectable, which is the least requirement for the existence of a stable UIFO. This condition also is a certificate for the convergence of our observer's order-increase algorithm. Two methodologies are demonstrated to solve the observer design equations. The second presented scheme, is a new design method that based on our observations has a better numerical performance than the first conventional one. Numerical examples and simulation results in the MATLAB/Simulink environment describe the overall observer design procedure, and highlight the efficacy of our new methodology to solve the observer equations in comparison to the conventional one.
Language eng
DOI 10.1016/j.jprocont.2015.09.002
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
0904 Chemical Engineering
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Elsevier
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