Fixed-Point Blockset

Integrator Trapezoidal Resettable Limited

Perform discrete-time limited integration of a signal using the trapezoidal method, with external Boolean reset

Library

Calculus

Description

The Integrator Trapezoidal Resettable Limited block performs a discrete-time integration of a signal using the trapezoidal method.

The block can reset its state based on an external reset signal R. When the cumulative sum reaches one of the limits given by the Upper limit and Lower limit parameters, the sum saturates to that limit.

When the reset signal R is false at time step k, the block calculates the output at time k by the rule

where is the input at time k and

When the reset signal R is true at time k, the block resets the output y(k) to the value of the Initial condition for previous output parameter. The block also resets w(k) to the value of the Initial condition for previous weighted input K*Ts*u/2 parameter.

Parameters and Dialog Box

Gain value

Specify the weight by which the sample time is multiplied.

Initial condition for previous output

Set the initial condition for the previous output.

Initial condition for previous weighted input K*Ts*u/2

Set the initial condition for the previous weighted input.

Upper limit

The upper limit for saturation of the cumulative sum.

Lower limit

The lower limit for saturation of the cumulative sum.

Output data type and scaling

The options are:

• Specify via dialog
• Inherit via internal rule
• Inherit via back propagation
  When Specify via dialog is selected, you can specify the Output data type and Output scaling parameters.

Round toward

Rounding mode for the fixed-point output.

Saturate to max or min when overflows occur

If selected, fixed-point overflows saturate.

Characteristics

Input Ports	Any data type supported by the blockset
Output Port	Same as the input
Direct Feedthrough	Yes, of the input and reset source ports
Scalar Expansion	Of inputs and gain

See Also

Integrator Backward, Integrator Backward Resettable, Integrator Backward Resettable Limited, Integrator Forward, Integrator Forward Resettable, Integrator Forward Resettable Limited, Integrator Trapezoidal, Integrator Trapezoidal Resettable

Integrator Trapezoidal Resettable

Interval Test