1D Controller [A(v),B(v),C(v),D(v)]

Implement gain-scheduled state-space controller depending on one scheduling parameter

• Library:
• Aerospace Blockset / GNC / Control

Description

The 1D 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`

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, specified as a array. In the case of 1-D scheduling, the A-matrix should have three dimensions, the last one corresponding to the scheduling variable v. For example, if the A-matrix corresponding to the first entry of v is the identity matrix, then `A(:,:,1) = [1 0;0 1];`.

Programmatic Use

 Block Parameter: `A` Type: character vector Values: vector Default: `'A1'`

B-matrix of the state-space implementation, specified as a array. In the case of 1-D scheduling, the B-matrix should have three dimensions, the last one corresponding to the scheduling variable v. For example, if the B-matrix corresponding to the first entry of v is the identity matrix, then ```B(:,:,1) = [1 0;0 1];```.

Programmatic Use

 Block Parameter: `B` Type: character vector Values: vector Default: `'B1'`

C-matrix of the state-space implementation, specified as a vector. In the case of 1-D scheduling, the C-matrix should have three dimensions, the last one corresponding to the scheduling variable v. For example, if the C-matrix corresponding to the first entry of v is the identity matrix, then ```C(:,:,1) = [1 0;0 1];```.

Programmatic Use

 Block Parameter: `C` Type: character vector Values: vector Default: `'C1'`

D-matrix of the state-space implementation, specified as a array. In the case of 1-D scheduling, the D-matrix should have three dimensions, the last one corresponding to the scheduling variable v. For example, if the D-matrix corresponding to the first entry of v is the identity matrix, then `D(:,:,1) = [1 0;0 1];`.

Programmatic Use

 Block Parameter: `D` Type: character vector Values: vector Default: `'D1'`

Breakpoints for the scheduling variable, specified as a vector. The length of v must be the 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: `'v_vec'`

Initial states for the controller, such as initial values for the state vector, x, specified as a vector. The length of the vector must equal the size of the first dimension of A.

Programmatic Use

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

Algorithms

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

`$\begin{array}{l}\stackrel{˙}{x}=A\left(v\right)x+B\left(v\right)y\\ u=C\left(v\right)x+D\left(v\right)y\end{array}$`

where v is a parameter 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

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Introduced before R2006a

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