block DeadZone "Provide a region of zero output"
parameter Real uMax(start = 1) "Upper limits of dead zones";
parameter Real uMin = -uMax "Lower limits of dead zones";
extends Interfaces.SISO;
equation
assert(uMin <= uMax, "DeadZone: Limits must be consistent. However, uMax (=" + String(uMax) + ") < uMin (=" + String(uMin) + ")");
y = homotopy(actual = smooth(0, if uMax < u then u - uMax else if u < uMin then u - uMin else 0), simplified = u);
annotation (
Documentation(info = "<html>\n<p>\nThe DeadZone block defines a region of zero output.\n</p>\n<p>\nIf the input is within uMin ... uMax, the output\nis zero. Outside of this zone, the output is a linear\nfunction of the input with a slope of 1.\n</p>\n</html>"),
Icon(
coordinateSystem(
preserveAspectRatio = true,
extent = {
{-100, -100},
{100, 100}}),
graphics = {
Line(
points = {
{0, -90},
{0, 68}},
color = {192, 192, 192}),
Polygon(
points = {
{0, 90},
{-8, 68},
{8, 68},
{0, 90}},
lineColor = {192, 192, 192},
fillColor = {192, 192, 192},
fillPattern = FillPattern.Solid),
Line(
points = {
{-90, 0},
{68, 0}},
color = {192, 192, 192}),
Polygon(
points = {
{90, 0},
{68, -8},
{68, 8},
{90, 0}},
lineColor = {192, 192, 192},
fillColor = {192, 192, 192},
fillPattern = FillPattern.Solid),
Line(points = {
{-80, -60},
{-20, 0},
{20, 0},
{80, 60}}),
Text(
extent = {
{-150, -150},
{150, -110}},
textColor = {160, 160, 164},
textString = "uMax=%uMax")}));
end DeadZone;