ADDED mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_abg.fig Index: mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_abg.fig ================================================================== --- /dev/null +++ mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_abg.fig @@ -0,0 +1,29 @@ +#FIG 3.2 +Portrait +Center +Metric +A4 +100.00 +Single +-2 +1200 2 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3 + 1575 3375 2925 3375 2700 3600 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3 + 3375 3375 4725 3375 4500 3600 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3 + 4950 3150 4950 1800 5175 2025 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3 + 5175 3375 6525 3375 6300 3600 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3 + 3150 3150 3150 1800 3375 2025 +2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2 + 6525 3150 6525 3600 +2 4 0 2 31 7 51 0 -1 0.000 0 0 7 0 0 5 + 7875 4275 7875 900 450 900 450 4275 7875 4275 +4 1 0 100 0 18 18 0.0000 4 195 150 3150 3465 0\001 +4 1 0 100 0 18 18 0.0000 4 195 150 4950 3465 1\001 +4 2 4 100 0 18 18 0.0000 4 270 870 1530 3465 SS:[in]\001 +4 0 4 100 0 18 18 0.0000 4 270 1065 6660 3465 SS:[out]\001 +4 1 0 100 0 18 18 0.0000 4 270 780 3150 1665 C:k_p\001 +4 1 0 100 0 18 18 0.0000 4 270 765 4950 1665 R:k_d\001 ADDED mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_desc.tex Index: mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_desc.tex ================================================================== --- /dev/null +++ mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_desc.tex @@ -0,0 +1,56 @@ +% -*-latex-*- Put EMACS into LaTeX-mode +% Verbal description for system PDe (PDe_desc.tex) +% Generated by MTT on Tue May 1 09:26:33 BST 2001. + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %% Revision 1.1 2000/12/28 09:13:38 peterg +% %% Initial revision +% %% +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + The acausal bond graph of system \textbf{PDe} is + displayed in Figure \Ref{fig:PDe_abg.ps} and its label + file is listed in Section \Ref{sec:PDe_lbl}. + The subsystems are listed in Section \Ref{sec:PDe_sub}. + + This is a proportional + derivative (PD) controller for a + collocated sutuation where the control signal is an effort and the + measured signal is a (collocated) flow. + + The controller can be thought of as controlling \emph{integated + flow}, and it is with respect to this that the P and D terms are defined. + + The setpoint is a \emph{flow}; and must be generated to give the + desired \emph{integrated} flow. + + Physically, the controller is a \textbf{C} and an \textbf{R} + component - for mechanical systems a mass and a spring. + + Mathematically, in integral causality, the equations are: +%file: pde_{dae}.tex +%differential-algebraic equations + \begin{equation} + \begin{aligned} + \dot x_{1} &= + { + f_d - f + } + \end{aligned} + \end{equation} + \begin{equation} + \begin{aligned} + u &= + { + - k_{d} f + k_{p} x_{1} + } + \end{aligned} + \end{equation} + + The state $x_1$ is the the integrated difference between + \emph{desired} flow $f_d$ and the actual flow $f$. Thus the control + signal $u$ is $k_p$ multiplied by the position error minus $k_d$ time + the flow. ADDED mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_lbl.txt Index: mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_lbl.txt ================================================================== --- /dev/null +++ mttroot/mtt/lib/comp/compound/Control/Collocated/PDe/PDe_lbl.txt @@ -0,0 +1,39 @@ +%% Label file for system PDe (PDe_lbl.txt) +%SUMMARY PDe: Proportional + Derivative controller with effort output +%DESCRIPTION + +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% Version control history +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% %% $Id$ +% %% $Log$ +% %% Revision 1.1 2000/12/28 09:13:38 peterg +% %% Initial revision +% %% +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +% Port aliases +%ALIAS in in +%ALIAS out out + +% Argument aliases +%ALIAS $1 k_p +%ALIAS $2 k_d + +%% Each line should be of one of the following forms: +% a comment (ie starting with %) +% component-name cr_name arg1,arg2,..argn +% blank + +% ---- Component labels ---- + +% Component type C + k_p lin state,k_p + +% Component type R + k_d lin flow,k_d + +% Component type SS + [in] SS internal,external + [out] SS external,external