DELETED mttroot/mtt/lib/examples/Inverse/iTwoLink/itwolink_desc.tex Index: mttroot/mtt/lib/examples/Inverse/iTwoLink/itwolink_desc.tex ================================================================== --- mttroot/mtt/lib/examples/Inverse/iTwoLink/itwolink_desc.tex +++ /dev/null @@ -1,50 +0,0 @@ -% Verbal description for system itwolink (itwolink_desc.tex) -% Generated by MTT on Mon Nov 17 10:42:48 GMT 1997. - -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% %% Version control history -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% %% $Id$ -% %% $Log$ -% %% Revision 1.2 1998/01/19 09:57:26 peterg -% %% Added a discussion of the relevance of G(s). -% %% -% Revision 1.1 1997/12/09 16:53:27 peterg -% Initial revision -% -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - The acausal bond graph of system \textbf{itwolink} is - displayed in Figure \Ref{itwolink_abg} and its label - file is listed in Section \Ref{sec:itwolink_lbl}. - The subsystems are listed in Section \Ref{sec:itwolink_sub}. - -This example illustrates the inversion of two link manipulator -dynamics using two identical simple mass-spring-damper systems as -specification systems. - -The velocities $\omega_1=\omega_2$ specified by the specification -systems are given in Figure \Ref{fig:itwolink_odeso.ps-itwolink-t1s} -together with the input defined in Section \Ref{sec:itwolink_input.txt}. -The torques $\tau_1$ and $\tau_2$ required to give the these -velocities specified by the specification system are given in Figures -\Ref{fig:itwolink_odeso.ps-itwolink-t1} and -\Ref{fig:itwolink_odeso.ps-itwolink-t2} respectively. - -The corresponding velocity/torque diagrams for joints 1 and 2 appear in -Figures \Ref{fig:itwolink_odeso.ps-itwolink-t1s:itwolink-t1} -\Ref{fig:itwolink_odeso.ps-itwolink-t2s:itwolink-t2} respectively. -Such diagrams can be used for actuator sizing in terms of torque, -velocity and power. - - -This non-linear system can be linearised (about the various -configurations) and small-signal frequency response methods applied. -For example, the four transfer functions $G_11$ to $G_22$ in Section -\Ref{sec:itwolink_tf} (representing the system linearised about zero -angles and velocities), give the small-signal relations between the -two spec. torques and the required system torques. Used together with -$G_31$ and $G_42$ (relating the spec. torques and the joint -velocities) gives, in principle, a method for evaluating actuator -requirements (for small signals) as a function of frequency. -