Engee documentation

1D Observer Form [A(v),B(v),C(v),F(v),H(v)]

A linear switchable controller in the state space with one changeable parameter (planning variable) with a state observer.

blockType: SubSystem

Path in the library:

/Aerospace/GNC/Control/1D Observer Form [A(v),B(v),C(v),F(v),H(v)]

Description

Block 1D Observer Form [A(v),B(v),C(v),F(v),H(v)] implements a linear switchable controller in the state space with one changeable parameter with a state observer, defined by the equation:

Where — this is a planning variable, depending on which are determined , , , and . This type of regulator assumes that the matrices , , and smoothly change depending on , which is common in the aerospace industry.

At the output of this unit, a control signal is obtained, which can be applied to the drive unit.

Restrictions

If the block’s input parameters fall outside the acceptable range, they are cut off. The state space matrices are not interpolated beyond the acceptable range.

Ports

Input

# y-y_dem — control error
vector

Details

The control error given as a vector that corresponds to the dimensions of the state-space matrices.

Data types

Float64.

Complex numbers support

No

# v — planning variable
`vector'

Details

A planning variable given as a vector that corresponds to the dimensions of state-space matrices. It is a parameter that determines how the system should adapt its parameters in response to changing conditions.

Data types

Float64.

Complex numbers support

No

# u_meas — measured position of the actuator
vector

Details

The measured position of the actuator specified as a vector. Helps to correct the state estimation by taking into account the actual behaviour of the actuator.

Data types

Float64.

Complex numbers support

No

Output

# u_dem — control signal
scalar | vector

Details

Control signal to the actuator.

Data types

Float64.

Complex numbers support

No

Parameters

Parameters

# A-matrix(v): — matrix A of state space realisation

Details

A state space realisation matrix. In the case of univariate planning, the matrix must have three dimensions, the last of which corresponds to the planning variable v. For example, if -matrix corresponding to the first element of v is a unit matrix, then A[:,::,1] = [1.0 0 0.0; 0.0 1.0].

Default value

A

Program usage name

Matrix1

Tunable

No

Evaluatable

Yes

# B-matrix(v): — matrix B of state space realisation

Details

State space realisation matrix. In the case of univariate planning, the matrix must have three dimensions, the last of which corresponds to the planning variable v. For example, if -matrix corresponding to the first element of v is a unit matrix, then B[:,::,1] = [1.0 0 0.0;0.0 1.0].

Default value

B

Program usage name

Matrix2

Tunable

No

Evaluatable

Yes

# C-matrix(v): — matrix C of state space realisation

Details

State space realisation matrix. In the case of univariate planning, the matrix must have three dimensions, the last of which corresponds to the planning variable v. For example, if -matrix corresponding to the first element of v is a unit matrix, then C[:,::,1] = [1.0 0 0.0;0.0 1.0].

Default value

C

Program usage name

Matrix3

Tunable

No

Evaluatable

Yes

# F-matrix(v): — matrix F of state space realisation

Details

State-space realisation matrix. In the case of univariate planning, the matrix must have three dimensions, the last of which corresponds to the planning variable v. For example, if -matrix corresponding to the first element of v is a unit matrix, then F[:,::,1] = [1.0 0 0.0;0.0 1.0].

Default value

F

Program usage name

Matrix4

Tunable

No

Evaluatable

Yes

# H-matrix(v): — state space realisation matrix H

Details

State space realisation matrix. In the case of univariate planning, the matrix must have three dimensions, the last of which corresponds to the planning variable v. For example, if -matrix corresponding to the first element of v is a unit matrix, then H[:,::,1] = [1.0 0 0.0;0.0 1.0].

Default value

H

Program usage name

Matrix5

Tunable

No

Evaluatable

Yes

# Scheduling variable breakpoints: — control points of the planning variable

Details

Control points of the planning variable given as a vector. The length v must match the size of the third dimension , , , and .

Default value

v_vec

Program usage name

AoA_vec

Tunable

No

Evaluatable

Yes

# Initial state, x_initial: — initial states

Details

The initial states for the controller, such as the initial values of the state vector, x, are specified as a vector. The length of the vector must correspond to the size of the first dimension .

Default value

[0.0;0.0]

Program usage name

x_initial

Tunable

No

Evaluatable

Yes