@incollection{GawRiz11, author = {Gawthrop, P.J. and Rizwi, F.}, affiliation = {School of Engineering, University of Glasgow, Scotland, UK}, title = {Coaxially Coupled Inverted Pendula: Bond Graph-Based Modelling, Design and Control}, booktitle = {Bond Graph Modelling of Engineering Systems}, editor = {Borutzky, Wolfgang}, publisher = {Springer New York}, isbn = {978-1-4419-9368-7}, keyword = {Engineering}, pages = {179-194}, doi = {10.1007/978-1-4419-9368-75}, abstract = {A bond graph method is used to examine qualitative aspects of a class of unstable under-actuated mechanical systems. It is shown that torque actuation leads to an unstabilisable system, whereas velocity actuation gives a controllable system which has, however, a right-half plane zero. The fundamental limitations theory of feedback control when a system has a right-half plane zero and a right-half plane pole is used to evaluate the desirable physical properties of coaxially coupled inverted pendula. An experimental system which approximates such a system is used to illustrate and validate the approach.}, year = 2011 }
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