Transfer Fcn Direct Form II Time Varying

Implement time varying Direct Form II realization of transfer function

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Libraries:
Simulink / Additional Math & Discrete / Additional Discrete

Description

The Transfer Fcn Direct Form II Time Varying block implements a Direct Form II realization of the specified transfer function. The block supports only single input-single output (SISO) transfer functions.

The input signal labeled Den No Lead contains the denominator coefficients of the transfer function. The full denominator has a leading coefficient of one, but it is excluded from the input signal. For example, to use a denominator of [1 -1.7 0.72], specify a signal with the value [-1.7 0.72]. The input signal labeled Num contains the numerator coefficients. The data types of the numerator and denominator coefficients can be different, but the length of the numerator vector and the full denominator vector must be the same. Pad the numerator vector with zeros, if needed.

The block automatically selects the data types and scalings of the output, the coefficients, and any temporary variables.

Ports

Input

u — Input signal

scalar | vector

Input signal, specified as a scalar or vector.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | Boolean | fixed point

Num — Numerator coefficients

scalar | vector

Numerator coefficients of the transfer function, specified as a scalar or vector.

Dependencies

The data types of the numerator and denominator coefficients can be different, but the length of the numerator vector and the full denominator vector must be the same. Pad the numerator vector with zeros, if needed.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | Boolean | fixed point

Den No Lead — Denominator coefficients

scalar | vector

Denominator coefficients of the transfer function, specified as a scalar or vector, without the leading coefficient of one. The full denominator has a leading coefficient of one, but it is excluded from the input signal.

Example: For a denominator coefficient of [1 -1.7 0.72], specify a signal with value [-1.7 0.72].

Dependencies

The data types of the numerator and denominator coefficients can be different, but the length of the numerator vector and the full denominator vector must be the same.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | Boolean | fixed point

Output

y — Output signal

scalar | vector

Output signal, specified as a scalar or vector.

The block automatically selects the data types and scalings of the output and any temporary variables.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | Boolean | fixed point | enumerated | bus

Parameters

Initial condition — Initial condition

0.0 (default) | scalar

Specify the initial condition as a scalar.

Programmatic Use

Block Parameter: vinit

Type: character vector

Values: scalar

Default: '0.0'

Integer rounding mode — Rounding mode for fixed-point operations

Floor (default) | Ceiling | Convergent | Nearest | Round | Simplest | Zero

Specify the rounding mode for fixed-point operations. For more information, see Rounding Modes (Fixed-Point Designer).

Programmatic Use

Block Parameter: RndMeth

Type: character vector

Values: 'Ceiling' | 'Convergent' | 'Floor' | 'Nearest' | 'Round' | 'Simplest' | 'Zero'

Default: 'Floor'

Saturate to max or min when overflows occur — Method of overflow action

off (default) | on

When you select this check box, overflows saturate to the maximum or minimum value that the data type can represent. Otherwise, overflows wrap.

When you select this check box, saturation applies to every internal operation on the block, not just the output or result. In general, the code generation process can detect when overflow is not possible. In this case, the code generator does not produce saturation code.

Programmatic Use

Block Parameter: DoSatur

Type: character vector

Values: 'off' | 'on'

Default: 'off'

Block Characteristics

Data Types	Booleana | double | fixed point | integer | single
Direct Feedthrough	no
Multidimensional Signals	no
Variable-Size Signals	no
Zero-Crossing Detection	no
a This block is not recommended for use with Boolean signals.

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using Simulink® Coder™.

The code generator does not explicitly group primitive blocks that constitute a nonatomic masked subsystem block in the generated code. This flexibility allows for more efficient code generation. In certain cases, you can achieve grouping by configuring the masked subsystem block to execute as an atomic unit by selecting the Treat as atomic unit option.

PLC Code Generation
Generate Structured Text code using Simulink® PLC Coder™.

Fixed-Point Conversion
Design and simulate fixed-point systems using Fixed-Point Designer™.

Version History

Introduced before R2006a