2D Controller [A(v),B(v),C(v),D(v)]

Implement gain-scheduled state-space controller depending on two scheduling parameters

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  • Library:

  • Aerospace Blockset / GNC / Control

  • 2D Controller [A(v),B(v),C(v),D(v)] block

Description

The 2D Controller [A(v),B(v),C(v),D(v)] block implements a gain-scheduled state-space controller, as described in Algorithms.

The output from this block is the actuator demand, which you can input to an actuator block.

Limitations

If the scheduling parameter inputs to the block go out of range, they are clipped. The state-space matrices are not interpolated out of range.

Ports

Input

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Aircraft measurements, specified as a vector.

Data Types: double

Scheduling variable, specified as a vector, that conforms to the dimensions of the state-space matrices.

Data Types: double

Scheduling variable, specified as a vector, that conforms to the dimensions of the state-space matrices.

Data Types: double

Output

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Actuator demands, specified as a vector.

Data Types: double

Parameters

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A-matrix of the state-space implementation. In the case of 2-D scheduling, the A-matrix should have four dimensions, the last two corresponding to scheduling variables v1 and v2. For example, if the A-matrix corresponding to the first entry of v1 and first entry of v2 is the identity matrix, then A(:,:,1,1) = [1 0;0 1];.

Programmatic Use

Block Parameter: A
Type: character vector
Values: vector
Default: 'A'

B-matrix of the state-space implementation. In the case of 2-D scheduling, the B-matrix should have four dimensions, the last two corresponding to scheduling variables v1 and v2. For example, if the B-matrix corresponding to the first entry of v1 and first entry of v2 is the identity matrix, then B(:,:,1,1) = [1 0;0 1];.

Programmatic Use

Block Parameter: B
Type: character vector
Values: vector
Default: 'B'

C-matrix of the state-space implementation. In the case of 2-D scheduling, the C-matrix should have four dimensions, the last two corresponding to scheduling variables v1 and v2. For example, if the C-matrix corresponding to the first entry of v1 and first entry of v2 is the identity matrix, then C(:,:,1,1) = [1 0;0 1];.

Programmatic Use

Block Parameter: C
Type: character vector
Values: vector
Default: 'C'

D-matrix of the state-space implementation. In the case of 2-D scheduling, the D-matrix should have four dimensions, the last two corresponding to scheduling variables v1 and v2. For example, if the D-matrix corresponding to the first entry of v1 and first entry of v2 is the identity matrix, then D(:,:,1,1) = [1 0;0 1];.

Programmatic Use

Block Parameter: D
Type: character vector
Values: vector
Default: 'D'

Vector of the breakpoints for the first scheduling variable. The length of v1 should be same as the size of the third dimension of A, B, C, and D.

Programmatic Use

Block Parameter: AoA_vec
Type: character vector
Values: vector
Default: 'v1_vec'

Vector of the breakpoints for the second scheduling variable. The length of v2 should be same as the size of the fourth dimension of A, B, C, and D.

Programmatic Use

Block Parameter: Mach_vec
Type: character vector
Values: vector
Default: 'v2_vec'

Vector of initial states for the controller, that is, initial values for the state vector, x. It should have length equal to the size of the first dimension of A.

Programmatic Use

Block Parameter: x_initial
Type: character vector
Values: vector
Default: '0'

Model Examples

HL-20 with Simulink® 3D Animation™ and Flight Instrumentation Blocks

HL-20 with Simulink® 3D Animation™ and Flight Instrumentation Blocks

NASA's HL-20 lifting body and controller modeled in Simulink®, Aerospace Blockset™, and Simulink® 3D Animation™ software. This model simulates approach and landing flight phases using an auto-landing controller. The Visualization subsystem uses aircraft-specific gauges from the Aerospace Blockset™ Flight Instrumentation library.

Open Model

Algorithms

The block implements a gain-scheduled state-space controller as defined by this equation:

x˙=A(v)x+B(v)yu=C(v)x+D(v)y

where v is a vector of parameters over which A, B, C, and D are defined. This type of controller scheduling assumes that the matrices A, B, C, and D vary smoothly as a function of v, which is often the case in aerospace applications.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

See Also

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Introduced before R2006a

Aerospace Blockset Documentation

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