RTO-EN-SET-116(2010) 1 - 1
INS/GPS Technology Trends
George T. Schmidt
Massachusetts Institute of Technology
10 Goffe Road
Lexington, MA 02421
USA
ABSTRACT
This paper focuses on accuracy and other technology trends for inertial sensors, Global Positioning Systems
(GPS), and integrated Inertial Navigation System (INS)/GPS systems, including considerations of
interference, that will lead to better than 1 meter accuracy navigation systems of the future. For inertial
sensors, trend-setting sensor technologies will be described. A vision of the inertial sensor instrument field
and strapdown inertial systems for the future is given. Planned accuracy improvements for GPS are
described. The trend towards deep integration of INS/GPS is described, and the synergistic benefits are
explored. Some examples of the effects of interference are described, and expected technology trends to
improve system robustness are presented.
1.0 INTRODUCTION
Inertial navigation systems have progressed from the crude electromechanical devices that guided the early
V-2 rockets (Figure 1a) to the current solid-state devices that are in many modern vehicles. The impetus for
this significant progress came during the ballistic missile programs of the 1960s, in which the need for high
accuracy at ranges of thousands of kilometers using autonomous navigation systems was apparent. By
“autonomous” it is meant that no man-made signals from outside the vehicle are required to perform
navigation. If no external man-made signals are required, then an enemy cannot jam them.
One of the early leaders in inertial navigation was the Massachusetts Institute of Technology (MIT)
Instrumentation Laboratory (now Draper Laboratory), which was asked by the Air Force to develop inertial
systems for the Thor and Titan missiles and by the Navy to develop an inertial system for the Polaris missile.
This request was made after the Laboratory had demonstrated in 1953 the feasibility of autonomous all-
inertial navigation for aircraft in a series of flight tests with a system called SPIRE (Space Inertial Reference
Equipment), Figure 1b. This system had gimbals, was 5 feet in diameter and weighed 2700 pounds. The
notable success of those early programs led to further application in aircraft, ships, missiles, and spacecraft
such that inertial systems are now almost standard equipment in military and civilian navigation applications.
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Figure 1a: V-2 Rocket. Figure 1b: SPIRE System.
Inertial navigation systems do not indicate position perfectly because of errors in components (the gyroscopes
and accelerometers) and errors in the model of the gravity field that the INS implements. Those errors cause
the error in indicated position to grow with time. For vehicles with short flight times, such errors might be
acceptable. For longer-duration missions, it is usually necessary to provide periodic updates to the navigation
system such that the errors caused by the inertial system are reset as close to zero as possible. Because GPS
offers world-wide, highly accurate position information at very low cost, it has rapidly become the primary
aid to be used in updating inertial systems, at the penalty of using an aid that is vulnerable to interference.
Clearly, the ideal situation would be low-cost but highly accurate INS that can do all, or almost all, of the
mission without using GPS.
The military has had access to a specified accuracy of 21 m (95-percent probability) from the GPS Precise
Positioning Service (PPS). This capability provides impressive worldwide navigation performance, especially
when multiple GPS measurements are combined in a Kalman filter to update an INS on a military platform or
a weapon. The Kalman filter provides an opportunity to calibrate some of the GPS errors, such as satellite
clock and ephemeris errors, as well as several of the inertial system errors, and when properly implemented, a
Circular Error Probable (CEP) better than 5m has been observed. In the very near term, accuracies in the
integrated navigation solution are predicted to improve to the 1 meter level. These accuracies will need to be
available in the face of intentional interference of GPS, and the inertial system will provide autonomous
navigation information during periods of GPS outage.
The following sections describe:
• The expected technology trends for inertial sensors and strapdown (no gimbals) systems that can
support autonomous operation at low cost. The hope is for strapdown INS/GPS systems that are
smaller than 3 in3 and weigh less than a pound, and possibly cost under $1000.
• Expected accuracy improvements and implementations for GPS.
• Issues and benefits of INS/GPS integration, particularly in an environment with interference.
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RTO-EN-SET-116(2010) 1 - 3
The combination of a GPS receiver and an accurate, low-cost inertial system will provide the global precision
navigation system of the future. Figure 2 depicts the “roadmap” to meeting this objective.
START HERE GPS SPACE AND
GROUND SEGMENT
IMPROVEMENTS
RECEIVER
IMPROVEMENTS
AND
ALL IN VIEW
TRACKING
FINISH
ANTI-JAM
ENHANCEMENTS
HIGH A/J,
HIGHLY
INTEGRATED,
LOW COST
PRECISION
NAVIGATION
LOW COST,
ACCURATE
INERTIAL
SYSTEMS
TOLL
Figure 2: Roadmap to precision navigation for multiple applications.
2.0 INERTIAL SENSOR TRENDS
The major error sources in the inertial navigation system are due to gyro and accelerometer inertial sensor
imperfections, incorrect navigation system initialization, and imperfections in the gravity model used in the
computations. But, in nearly all inertial navigation systems, the largest errors are due to the inertial sensors.
Whether the inertial sensor error is caused by internal mechanical imperfections, electronics errors, or other
sources, the effect is to cause errors in the indicated outputs of these devices. For the gyros, the major errors
are in measuring angular rates. For the accelerometers, the major errors are in measuring acceleration. For
both instruments, the largest errors are usually a bias instability (measured in deg/hr for gyro bias drift, or
micro g (µg) for the accelerometer bias), and scale-factor stability (which is usually measured in parts per
million (ppm) of the sensed inertial quantity). The smaller the inertial sensor errors, the better the quality of
the instruments, the improved accuracy of the resulting navigation solution, and the higher the cost of the
system. As a “rule-of-thumb,” an inertial navigation system equipped with gyros whose bias stability is 0.01
deg/hr will see its navigation error grow at a rate of 1 nmi/hr of operation. The navigation performance
requirements placed on the navigation system lead directly to the selection of specific inertial instruments in
order to meet the mission requirements.
Figure 3, “Current Gyro Technology Applications,” gives a comprehensive view of the gyro bias and scale-
factor stability requirements for various mission applications and what type of gyro is likely to be used in
current applications (Figures 3 – 9 are revised versions of the figures in Ref. [1]).
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RLG & IFOG
Rate &
Integrating
Gyros
MEMS
Self-
Aligning
Strategic
Missile
Consumer
RLG & IFOG
Autonomous
Submarine
Navigation
Tactical
Missile
Midcourse
Guidance
Cruise Missile
Air/Land/Sea
Navigation
Surveying
AHRS
Torpedoes
Flight Control,
Smart Munitions,
Robotics
IFOG &
Quartz
DTG
Bias Stability (deg/hr)
Sc
al
e
Fa
ct
or
S
ta
bi
lit
y
(p
pm
)
1,000
100
10
1
0.1
1,000
100
10
1
0.1
0.000150.000015 0.0015 0.015 0.15 1.5 15 1500150 36000.000150.000015 0.0015 0.015 0.15 1.5 15 1500150 3600
Mechanical
RLG = Ring Laser Gyro
DTG = Dry Tuned Gyro
IFOG = Interferometric Fiber Optic Gyro
Quartz = Coriolis Sensor
Mechanical = Spinning Mass
AHRS = Attitude Heading Reference System
MEMS = Micro-Electro-Mechanical Sensors (silicon)
Interceptor
Figure 3: Current gyro technology applications.
Solid-state inertial sensors, such as Microelectromechanical System (MEMS) devices, have potentially
significant cost, size, and weight advantages, which has resulted in a proliferation of the applications where
such devices can be used in systems. While there are many conventional military applications, there are also
many newer applications that will emerge with the low cost and very small size inherent in such sensors,
particularly at the lower performance end of the spectrum. A vision of the gyro inertial instrument field for
relevant military applications for the near-term is shown in Figure 4. Strapdown systems will also dominate.
1,000
100
10
1
0.1
0.0000015 0.000015 0.00015 0.0015 0.015 0.15 1.5 15 150 1500
SC
A
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F
A
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TO
R
S
TA
B
IL
IT
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(p
pm
)
MECHANICAL
RLG
IFOG
QUARTZ
SILICON
MICRO-
MECHANICAL
1 nautical mile/hour earth rate
BIAS STABILITY (°/hr)
RLG
IFOG
= Ring Laser Gyro
= Interferometric Fiber Optic Gyro
RLG
IFOG
= Ring Laser Gyro
= Interferometric Fiber Optic Gyro
Figure 4: Near-term gyro technology applications.
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RTO-EN-SET-116(2010) 1 - 5
The MEMS and Interferometric Fiber-Optic (IFOG) technologies are expected to replace many of the current
systems using Ring Laser Gyros (RLGs) and mechanical instruments. However, one particular area where the
RLG is expected to retain its superiority over the IFOG is in applications requiring extremely high scale-factor
stability. The change to all-MEMS technology hinges primarily on MEMS gyro development. The
performance of MEMS instruments is continually improving, and they are currently being developed for many
applications. This low cost can only be attained by leveraging off the consumer industry, which will provide
the infrastructure for supplying the MEMS sensors in extremely large quantities (millions). The use of these
techniques will result in low-cost, high-reliability, small-size, and lightweight inertial sensors and the systems
into which they are integrated. The tactical (lower) performance end of the application spectrum will likely be
dominated by micromechanical inertial sensors. The military market will push the development of these
sensors for applications such as “competent” and “smart” munitions, aircraft and missile autopilots, short-
time-of-flight tactical missile guidance, fire control systems, radar antenna motion compensation, “smart
skins” using embedded inertial sensors, multiple intelligent small projectiles such as flechettes or even
“bullets,” and wafer-scale INS/GPS systems.
Figure 5 shows how the gyro technology may possibly be applied to new applications in the far term. The figure
shows that the MEMS and integrated-optics (IO) systems technology may dominate the entire low- and medium-
performance range. The rationale behind this projection is based on two premises. The first is that gains in
performance in the MEMS devices will continue with similar progression to the orders-of-magnitude
improvement that has already been accomplished in the last decades. That further improvements are likely is not
unreasonable since the designers are beginning to understand the effects of geometry, size, electronics, and
packaging on performance and reliability. Second, efforts have already demonstrated how to put all six sensors
on one (or two) chips, which is the only way to reach a possible cost goal of less than $1000 per INS/GPS
system. In addition, since many of the MEMS devices are vibrating structures with a capacitive readout, this
may restrict the performance gains. It is in this area that the integrated optics technology is most likely to be
required to provide a true solid-state micromechanical gyro with optical readout. At this time, the technology to
make a very small, accurate gyro does not exist, but advances in integrated optics are already under development
in the communications industry. For the strategic application, the IFOG could become the dominant gyro.
Work is underway now to develop radiation-hard IFOGs as well as super-high-performance IFOGs.
1,000
100
10
1
0.1
0.0000015 0.000015 0.00015 0.0015 0.015 0.15 1.5 15 150 1500
Sc
al
e
Fa
ct
or
S
ta
bi
lit
y
(p
pm
)
IFOG
Bias Stability (deg/hr)
IFOG
MEMS
IO
= Interferometric Fiber Optic Gyro
= Micro-Electro-Mechanical Systems
= Integrated Optics
IFOG
MEMS
IO
= Interferometric Fiber Optic Gyro
= Micro-Electro-Mechanical Systems
= Integrated Optics
MEMS/IO
1 nautical mile/hr earth rate
Atom
Figure 5: Far-term gyro technology applications.
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A potentially promising technology, which is in its infancy stages, is inertial sensing based upon cold atom
interferometry. (Refs. [16], [18]) A typical atom de Broglie wavelength is 10-11 times smaller than an optical
wavelength, and because atoms have mass and internal structure, cold atom interferometers are extremely
sensitive. Accelerations, rotations, electromagnetic fields, and interactions with other atoms change the atom
interferometric fringes. This means that atom interferometers could make the most accurate gyroscopes,
accelerometers, gravity gradiometers, and precision clocks, by orders of magnitude. If this far-term
technology can be developed, then it could result in a 2 to 5-meter/hour navigation system without GPS, in
which the accelerometers are also measuring gravity gradients.
Figure 6, “Current Accelerometer Technology Applications,” gives a comprehensive view of the
accelerometer bias and scale-factor stability requirements for various mission applications and what type of
accelerometer is likely to be used in current applications. “Mechanical Instruments” refers to the use of a
Pendulous Integrating Gyro Assembly (PIGA) which is a mass unbalanced spinning gyroscope used to
measure specific force.
Mechanical
Floated
Instruments
Self-Aligning
Strategic Missile
Stellar-Aided
Strategic Missile
Autonomous
Submarine
Navigation
Cruise Missile
Land Navigation
Aircraft Navigation
Stellar-Aided
Interceptor
Tactical Missile
Midcourse
Guidance
Quartz
Mechanical
Pendulous Rebalance
Accelerometer
MEMS
1,000
100
10
1
0.1
1,000
100
10
1
0.1
0.1 1 10 100 1,000 10,0000.1 1 10 100 1,000 10,000
Bias Stability (µg)
Sc
al
e
Fa
ct
or
S
ta
bi
lit
y
(p
pm
)
Consumer
Figure 6: Current accelerometer technology applications.
Current applications are still dominated by electromechanical sensors, not only because they are generally
low-cost for the performance required, but also because no challenging alternative technology has succeeded,
except for quartz resonators, which are used in the lower-grade tactical and commercial applications. MEMS
inertial sensors have not yet seriously broached the market, although they are on the verge of so doing,
especially in consumer applications.
In the near-term (Figure 7), it is expected that the tactical (lower) performance end of the accelerometer
application spectrum will be dominated by micromechanical accelerometers. As in the case for gyros, the
military market will push the development of these sensors for applications such as “competent” and “smart”
munitions, aircraft and missile autopilots, short-time-of-flight tactical missile guidance, fire control systems,
radar antenna motion compensation, “smart skins” using embedded inertial sensors, multiple intelligent small
projectiles such as flechettes or even “bullets,” and wafer-scale INS/GPS systems. Higher performance
applications will continue to use mechanical accelerometers and possibly resonant accelerometers based on
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RTO-EN-SET-116(2010) 1 - 7
quartz or silicon. Quartz resonant accelerometers have proliferated widely into tactical and commercial (e.g.,
factory automation) applications. Silicon micromechanical resonator accelerometers are also being
developed. Both of these technologies have possible performance improvements.
1,000
100
10
1
0.1 0.1 1 10 100 1,000 10,000
SC
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F
A
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TO
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S
TA
B
IL
IT
Y
(p
pm
)
BIAS STABILITY (µg)
PRECISION
RESONATORS
MECHANICAL
QUARTZ
SILICON
MICROMECHANICAL
Figure 7: Near-term accelerometer technology applications.
Figure 8 shows how the accelerometer technology may be applied to new applications in the far term. As in
the case of gyro projections for the future, the figure shows that the MEMS and integrated optics technology
will dominate the entire low- and medium-performance range. The rationale behind this projection is based
on exactly the same two premises as for the gyros. However, it is likely that the far-term accelerometer
technology projections will be realized years sooner than the gyro.
1,000
100
10
1
0.1
0.1 1 10 100 1,000 10,000
Sc
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e
Fa
ct
or
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ta
bi
lit
y
(p
pm
)
Bias Stability (µg)
MECH. SILICONQUARTZ
MEMS/IO
MEMS
IO
= Micro-Electro-Mechanical Systems
= Integrated Optics
MEMS
IO
= Micro-Electro-Mechanical Systems
= Integrated Optics
Atom
Figure 8: Far-term accelerometer technology applications.
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Figure 9 shows INS or INS/GPS relative strapdown system cost “projections” as a function of inertial
instrument technology and performance. The cost of a GPS receiver is likely to be so small that it will be
insignificant. The systems are classified as: laser gyro or IFOG systems containing various types of
accelerometer technologies; quartz systems with both quartz gyros and quartz accelerometers; and
MEMS/integrated optics systems. The solid line indicates the range of approximate costs expected. Clearly,
the quantity of systems produced affects the cost; large production quantities would be at the lower end of the
cost range. The IFOG systems have the potential for lower cost than laser gyro systems because the IFOG
should be well below the cost of an RLG. However, this has not happened to date, primarily because the RLG
is in relatively large-volume production in well-facilitated factories and the IFOG is not yet manufactured in
similar production quantities. Clearly, the MEMS/integrated optics INS/GPS systems offer the lowest cost.
The ultimate low cost only becomes feasible in quantities of millions. This can be achieved only with multi-
axis instrument clusters and on-chip or adjacent-chip electronics and batch packaging.
C
os
t $
100,000
50,000
10,000
1,000
100
10
100,000
50,000
10,000
1,000
100
10
.001°/hr .01°/hr 0.1°/hr 1°/hr 10°/hr 100°/hr 1000°/hr
1 µg 25 µg 500 µg 1 mg 10 mg 100 mg 1000 mg
Performance
MEMS/IO
IFOG
LASER
QUARTZ
IFOG
MEMS
IO
QUARTZ
= Interferometric Fiber Optic Gyro
= Micro-Electro-Mechanical Systems
= Integrated Optics
= Coriolis Sensor
IFOG
MEMS
IO
QUARTZ
= Interferometric Fiber Optic Gyro
= Micro-Electro-Mechanical Systems
= Integrated Optics
= Coriolis Sensor
Figure 9: Strapdown INS cost as a function of instrument technology.
The ability of silicon-based MEMS devices to withstand high “g” forces has been demonstrated recently in a
series of firings in artillery shells where the g forces reached over 6500 g. These small MEMS-based systems,
illustrated in Figure 10, have provided proof-of-principal that highly integrated INS/GPS systems can be
developed and led to a recent program where the goal was a system on the order of 3 in3, or 2 in3 for the INS
alone (Ref. [2]). Unfortunately, the goals were not met. The current status of a typical MEMS INS is
represented by the Honeywell HG1900