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Use unicode characters in docs equations (#3487)
javac and javadoc needed the encoding set to UTF-8.
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@@ -64,6 +64,7 @@ public final class Discretization {
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/**
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* Discretizes the given continuous A and Q matrices.
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*
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* @param <States> Nat representing the number of states.
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* @param contA Continuous system matrix.
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* @param contQ Continuous process noise covariance matrix.
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* @param dtSeconds Discretization timestep.
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@@ -128,11 +129,11 @@ public final class Discretization {
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Matrix<States, States> lastTerm = Q.copy();
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double lastCoeff = dtSeconds;
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// A^T^n
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// Aᵀⁿ
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Matrix<States, States> Atn = contA.transpose();
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Matrix<States, States> phi12 = lastTerm.times(lastCoeff);
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// i = 6 i.e. 6th order should be enough precision
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// i = 6 i.e. 5th order should be enough precision
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for (int i = 2; i < 6; ++i) {
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lastTerm = contA.times(-1).times(lastTerm).plus(Q.times(Atn));
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lastCoeff *= dtSeconds / ((double) i);
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@@ -18,7 +18,7 @@ public final class LinearSystemId {
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/**
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* Create a state-space model of an elevator system. The states of the system are [position,
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* velocity]^T, inputs are [voltage], and outputs are [position].
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* velocity]ᵀ, inputs are [voltage], and outputs are [position].
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*
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* @param motor The motor (or gearbox) attached to the arm.
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* @param massKg The mass of the elevator carriage, in kilograms.
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@@ -72,7 +72,7 @@ public final class LinearSystemId {
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/**
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* Create a state-space model of a differential drive drivetrain. In this model, the states are
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* [v_left, v_right]^T, inputs are [V_left, V_right]^T and outputs are [v_left, v_right]^T.
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* [v_left, v_right]ᵀ, inputs are [V_left, V_right]ᵀ and outputs are [v_left, v_right]ᵀ.
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*
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* @param motor the gearbox representing the motors driving the drivetrain.
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* @param massKg the mass of the robot.
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@@ -157,7 +157,7 @@ public final class LinearSystemId {
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/**
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* Identify a position system from it's kV (volts/(unit/sec)) and kA (volts/(unit/sec^2). These
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* constants cam be found using frc-characterization. The states of the system are [position,
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* velocity]^T, inputs are [voltage], and outputs are [position].
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* velocity]ᵀ, inputs are [voltage], and outputs are [position].
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*
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* <p>The distance unit you choose MUST be an SI unit (i.e. meters or radians). You can use the
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* {@link edu.wpi.first.math.util.Units} class for converting between unit types.
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@@ -181,8 +181,8 @@ public final class LinearSystemId {
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* Identify a standard differential drive drivetrain, given the drivetrain's kV and kA in both
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* linear (volts/(meter/sec) and volts/(meter/sec^2)) and angular (volts/(meter/sec) and
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* volts/(meter/sec^2)) cases. This can be found using frc-characterization. The states of the
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* system are [left velocity, right velocity]^T, inputs are [left voltage, right voltage]^T, and
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* outputs are [left velocity, right velocity]^T.
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* system are [left velocity, right velocity]ᵀ, inputs are [left voltage, right voltage]ᵀ, and
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* outputs are [left velocity, right velocity]ᵀ.
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*
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* @param kVLinear The linear velocity gain, volts per (meter per second).
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* @param kALinear The linear acceleration gain, volts per (meter per second squared).
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@@ -211,8 +211,8 @@ public final class LinearSystemId {
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* Identify a standard differential drive drivetrain, given the drivetrain's kV and kA in both
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* linear (volts/(meter/sec) and volts/(meter/sec^2)) and angular (volts/(radian/sec) and
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* volts/(radian/sec^2)) cases. This can be found using frc-characterization. The states of the
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* system are [left velocity, right velocity]^T, inputs are [left voltage, right voltage]^T, and
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* outputs are [left velocity, right velocity]^T.
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* system are [left velocity, right velocity]ᵀ, inputs are [left voltage, right voltage]ᵀ, and
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* outputs are [left velocity, right velocity]ᵀ.
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*
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* @param kVLinear The linear velocity gain, volts per (meter per second).
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* @param kALinear The linear acceleration gain, volts per (meter per second squared).
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