Using an Observer to Transform Linear Systems Into Strictly Positive Real Systems

by: J Collado, R Lozano, R Johansson

Automatic Control, IEEE Transactions on, Vol. 52, No. 6. (2007), pp. 1082-1088.

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Abstract

<para> In this note, we study the extension of the class of linear time invariant plants that may be transformed into SPR systems introducing an observer. It is shown that for open loop stable systems a cascaded observer achieves the result. For open loop unstable systems an observer-based feedback is required to succeed. In general any stabilizable and observable system may be transformed into an SPR system defining a new output based on the observer state. This overcomes the old conditions of minimum phase and relative degree one for the case of keeping the original output. The result is illustrated with some examples. </para>

@article{citeulike:1398749, abstract = {<para> In this note, we study the extension of the class of linear time invariant plants that may be transformed into SPR systems introducing an observer. It is shown that for open loop stable systems a cascaded observer achieves the result. For open loop unstable systems an observer-based feedback is required to succeed. In general any stabilizable and observable system may be transformed into an SPR system defining a new output based on the observer state. This overcomes the old conditions of minimum phase and relative degree one for the case of keeping the original output. The result is illustrated with some examples. </para>}, author = {Collado, J. and Lozano, R. and Johansson, R. }, citeulike-article-id = {1398749}, journal = {Automatic Control, IEEE Transactions on}, keywords = {20070619}, number = {6}, pages = {1082--1088}, posted-at = {2007-06-19 15:57:49}, priority = {2}, title = {Using an Observer to Transform Linear Systems Into Strictly Positive Real Systems}, url = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=4237297}, volume = {52}, year = {2007} }

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TY - JOUR ID - citeulike:1398749 L3 - citeulike-article-id:1398749 TI - Using an Observer to Transform Linear Systems Into Strictly Positive Real Systems JF - Automatic Control, IEEE Transactions on VL - 52 IS - 6 SP - 1082 EP - 1088 N2 - <para> In this note, we study the extension of the class of linear time invariant plants that may be transformed into SPR systems introducing an observer. It is shown that for open loop stable systems a cascaded observer achieves the result. For open loop unstable systems an observer-based feedback is required to succeed. In general any stabilizable and observable system may be transformed into an SPR system defining a new output based on the observer state. This overcomes the old conditions of minimum phase and relative degree one for the case of keeping the original output. The result is illustrated with some examples. </para> KW - 20070619 AU - Collado, J AU - Lozano, R AU - Johansson, R PY - 2007/// UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4237297 ER -

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