# Orbit Follower

**Libraries:**

UAV Toolbox /
Algorithms

## Description

The Orbit Follower block generates course and yaw controls for following a
circular orbit around a location of interest based on the current pose of the unmanned aerial
vehicle (UAV). Select a **UAV type** of fixed-wing or multirotor UAVs. You
can specify any orbit center location, orbit radius, and turn direction. A lookahead distance,
**LookaheadDistance**, is used for tuning the path tracking and generating
the **LookaheadPoint** output.

## Examples

## Ports

### Input

**Pose** — Current UAV pose

`[x y z course]`

vector

Current UAV pose, specified as an `[x y z course]`

vector.
`[x y z]`

is the position of the UAV in NED coordinates
(north-east-down) specified in meters. `course`

is the angle between
ground velocity and north direction in radians per second.

**Example: **
`[1,1,-10,pi/4]`

**Data Types: **`single`

| `double`

**Center** — Center of orbit

`[x y z]`

vector

Center of orbit, specified as an `[x y z]`

vector. ```
[x y
z]
```

is the orbit center position in NED coordinates (north-east-down)
specified in meters.

**Example: **
`[5,5,-10]`

**Data Types: **`single`

| `double`

**Radius** — Radius of orbit

positive scalar

Radius of orbit, specified as a positive scalar in meters.

**Example: **
`5`

**Data Types: **`single`

| `double`

**TurnDirection** — Direction of orbit

scalar

Direction of orbit, specified as a scalar. Positive values indicate a clockwise
turn as viewed from above. Negative values indicate a counter-clockwise turn. A value
of `0`

automatically determines the value based on the input to
**Pose**.

**Example: **
`-1`

**Data Types: **`single`

| `double`

**LookaheadDistance** — Lookahead distance for tracking orbit

positive scalar

Lookahead distance for tracking the orbit, specified as a positive scalar. Tuning this value helps adjust how tightly the UAV follows the orbit circle. Smaller values improve tracking, but can lead to oscillations in the path.

**Example: **
`2`

**Data Types: **`single`

| `double`

**ResetNumTurns** — Reset for counting turns

numeric signal

Reset for counting turns, specified as a numeric signal. Any rising signal
triggers a reset of the **NumTurns** output.

**Example: **
`2`

#### Dependencies

To enable this input, select `rising`

for **External
reset**.

**Data Types: **`single`

| `double`

### Output

**LookaheadPoint** — Lookahead point on path

`[x y z]`

position vector

Lookahead point on path, returned as an `[x y z]`

position vector
in meters.

**Data Types: **`double`

**DesiredCourse** — Desired course

numeric scalar

Desired course, returned as numeric scalar in radians in the range of
`[-pi, pi]`

. The UAV course is the angle of direction of the
velocity vector relative to north measured in radians. For fixed-wing type UAV, the
values of desired course and desired yaw are equal.

**Data Types: **`double`

**DesiredYaw** — Desired yaw

numeric scalar

Desired yaw, returned as numeric scalar in radians in the range of ```
[-pi,
pi]
```

. The UAV yaw is the forward direction of the UAV (regardless of the
velocity vector) relative to north measured in radians. For fixed-wing type UAV, the
values of desired course and desired yaw are equal.

**Data Types: **`double`

**OrbitRadiusFlag** — Orbit radius flag

`0`

(default) | `1`

Orbit radius flag, returned as `0`

or `1`

.
`0`

indicates orbit radius is not saturated, `1`

indicates orbit radius is saturated to minimum orbit radius value specified.

**Data Types: **`uint8`

**LookaheadDistFlag** — Lookahead distance flag

`0`

(default) | `1`

Lookahead distance flag, returned as `0`

or `1`

.
`0`

indicates lookahead distance is not saturated,
`1`

indicates lookahead distance is saturated to minimum lookahead
distance value specified.

**Data Types: **`uint8`

**CrossTrackError** — Cross track error from UAV position to path

positive numeric scalar

Cross track error from UAV position to path, returned as a positive numeric scalar in meters. The error measures the perpendicular distance from the UAV position to the closest point on the path.

#### Dependencies

This port is only visible if **Show CrossTrackError output
port** is checked.

**Data Types: **`double`

**NumTurns** — Number of times the UAV has completed the orbit

numeric scalar

Number of times the UAV has completed the orbit, returned as a numeric scalar. As
the UAV circles the center point, this value increases or decreases based on the
specified **Turn Direction**. Decimal values indicate partial
completion of a circle. If the UAV cross track error exceeds the lookahead distance,
the number of turns is not updated.

**NumTurns** is reset whenever **Center**,
**Radius**, or **TurnDirection** are changed. You
can also use the **ResetNumTurns** input.

#### Dependencies

This port is only visible if **Show NumTurns output port** is
checked.

## Parameters

**UAV type** — Type of UAV

`fixed-wing`

(default) | `multirotor`

Type of UAV, specified as either `fixed-wing`

or
`multirotor`

.

This parameter is non-tunable.

**Minimum orbit radius (m)** — Minimum orbit radius

`1`

(default) | positive numeric scalar

Minimum orbit radius, specified as a positive numeric scalar in meters.

When input to the orbit **Radius** port is less than the minimum
orbit radius, the **OrbitRadiusFlag** is returned as
`1`

and the orbit radius value is specified as the value of minimum
orbit radius.

This parameter is non-tunable.

**Minimum lookahead distance (m)** — Minimum lookahead distance

`0.1`

(default) | positive numeric scalar

Minimum lookahead distance, specified as a positive numeric scalar in meters.

When input to the **LookaheadDistance** port is less than the
minimum lookahead distance, the **LookaheadDistFlag** is returned as
`1`

and the lookahead distance value is specified as the value of
minimum lookahead distance.

This parameter is non-tunable.

**External reset** — Reset trigger source

`none`

(default) | `rising`

Select `rising`

to enable the **ResetNumTurns**
block input.

This parameter is non-tunable.

**Show CrossTrackError output port** — Output cross track error

`off`

(default) | `on`

Output cross track error from the **CrossTrackError** port.

This parameter is non-tunable.

**Show NumTurns output port** — Output UAV waypoint status

`off`

(default) | `on`

Output UAV waypoint status from the **Status** port.

This parameter is non-tunable.

## Extended Capabilities

### C/C++ Code Generation

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

## Version History

**Introduced in R2019a**

## MATLAB Command

You clicked a link that corresponds to this MATLAB command:

Run the command by entering it in the MATLAB Command Window. Web browsers do not support MATLAB commands.

# Select a Web Site

Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .

You can also select a web site from the following list:

## How to Get Best Site Performance

Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.

### Americas

- América Latina (Español)
- Canada (English)
- United States (English)

### Europe

- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)

- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)