📄 pmodel.m
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function dy=pmodel(t,y)
%PMODEL Differential equation system for inverted pendulum.
%
% PMODEL(T,Y)
% T - Time.
% Y - Current state of inverted pendulum.
% Returns derivatives of the pendulum state.
%
% The state vector Y has three values:
% Y(1) - Pendulum angle from -2 pi to 2 pi radians.
% Y(2) - Pendulum angular velocity in radians/second.
% Y(3) - Force being applied to the pendulum.
%
% NOTES: Angle is 0 radians when the pendulum points up.
% Force stays constant, its derivative is always 0.
%
% See also APPCS1, PLINEAR.
% Mark Beale, 12-15-93
% Copyright 1992-2002 The MathWorks, Inc.
% $Revision: 1.11 $ $Date: 2002/04/14 21:25:51 $
if nargin < 2, error('Not enough input vectors.'); end
% STATE
angle = y(1);
vel = y(2);
force = y(3);
% CALCULATE DERIVATIVES
dangle = vel;
dvel = 9.81*sin(angle) - 2*vel + force;
dforce = zeros(size(force));
% RETURN DERIVATIVES
dy = [dangle; dvel; dforce];
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