uc santa cruz, autonomous systems lab, an improved line-of- sight guidance law for uavs r. curry, m....

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UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB , An Improved Line- of-Sight Guidance Law for UAVs R. Curry, M. Lizarraga, B. Mairs, and G.H. Elkaim University of California, Santa Cruz 2 L

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UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

, An Improved Line-of-Sight Guidance Law for

UAVs

R. Curry, M. Lizarraga, B. Mairs, and G.H. Elkaim

University of California, Santa Cruz

2L

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Accelerating UAV Demand

Military Civilian

Forestry Marine Fisheries Photography Border surveilance

New Missions New Autopilot Designs

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

SLUGS Put in your descriptio n

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Line-of-Sight Guidance

Originally proposed by Amidi (1991) for robots

Park, Deyst, How (2007) made significant contributions Theory

Linear Analysis Asymptotic stability

Flight demonstrations A form of pursuit guidance originally

used in air-to-air missiles

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Line-of-Sight Guidance

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Acceleration

Geometry

Kinematics

Combined L1 constant

UAV Bank angle

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Linear Model (Park, Deyst, How)

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Linear Model (cont)

System Response

where

Note: wn increases with Vg

Let

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Linear Model with Roll Dynamics

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Root Locus with Roll Dynamics

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Summary of Guidance

Asymptotically stable assuming instantaneous acceleration response

Reduced stability with increasing ground speed

not specified in operational situations Errors larger than (track acquisition) If desired track does not exist (go direct)

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UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Guidance

Look ahead distance depends on ground speed

T* is constant Poles independent of ground speed

ALWAYS define an aim point Limit intercept angle (reduce overshoot) Limit down track aim point distance

Large errors and track acquisition

2L

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Guidance2L

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Simulations

6 DOF nonlinear rigid body model of Rascal UAV Hobby aircraft, wing span of 1.2m Inputs: throttle, elevator, aileron, rudder Outputs: 12 state variables

Dryden model wins Constant wind Gust levels depend on height above ground

and mean wind

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

and on Waypoints2L1L

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

and Circle Tracking2L1L

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Homing Mode

What if there is a destination but no path?

Point ground track from current position to objective Aircraft use “direct to” everyday

uses one guidance law in all conditions

Automatic “Return To Base” if comm failure

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UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Homing Mode—Return To Base

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

Moving “Base”

The homing mode only requires a line of sight to the objective

There is no requirement that the objective be stationary

Useful for tracking moving objectives We used the L2+ homing mode on

moving base without any modification

UC SANTA CRUZ, AUTONOMOUS SYSTEMS LAB

RTB with Moving “Base”