International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com, Special Issue 42 (AMBALIKA) (March 2017), PP. 117-120 FUSION OF GLOBAL POSITIONING SYSTEM AND INERTIAL NAVIGATION SYSTEM: A REVIEW 1 1 Vertika Verma, 2 Wg. Cdr. (Retd) Dr. Anil Kumar Department of Electronics and Communication Engineering Amity University,Lucknow 2 Director,ASET,Amity University, Lucknow 1 [email protected],[email protected] Abstract— In this paper a study of general concepts of Global Positioning system fusion with Inertial Navigation has been carried out. Location and time information is provided by GPS as long as there is unobstructed line of sight to four or more GPS satellite.However, when line of sight is not clear the signal may inaccurate, sometimes completely blocked. In such situation Inertial Navigation System is appropriate choice for positioning. The GPS satellite Signals is used in integrated GPS- INS to correct or calibrate a solution from an inertial navigation system. There are two methods proposed for GPS/INS integration. One based on a bank of parallel running Kalam filter and the other based on an adaptive observer. Index Terms— fusion of global inertial navigation system. A satellite based navigation system Global Positioning system is made of network of 24satellites placed into orbit by U.S Defence Department. Location and time information is provided by it in all weather conditions anywhere near or on earth. It works well were there in no obstruction in line of sight to four or more satellites. However in case of obstruction eg forests,indoors,heavily built urban areas etc,it may not work well and provide inaccurate location information. In this situation to obtain accurate location one uses other devices or sensors for example accelerometers, gyroscopes and magentometers.Those sensors together with algorithm for object’s positions constitute main part of the Inertial Navigation System that will used in project. I. INTRODUCTION Fusion of INS and GPS has been used in last couple decade to span different systems. Ship, aircraft and submarine Navigation systems are just some of the most common applications. Most of the applications will struggle for following two characteristics: 1) Continuous and reliable navigation determination. 2) Acceptable accuracy level and possibility to keep accuracy over time. II. GLOBAL POSITIONING SYSTEM Global Positioning System consists of three major segments known as space segment,the control system and the user segment which is also known as receiver. INS provides continuous and reliable navigation determination but errors in them increases over time due to algorithm they use. Instead GPS can be used as an aiding system in order to minimize the errors over time updating the position and velocity as often as possible.The main reason for integrating INS and GPS is therefore done in order to get a system that can achieve both above mentioned characteristics. Fig 1. Diagram of GPS The accuracy needed can vary a lot between each application. Navigation systems for autonomous car and aircraft may require sub-meter level accuracy while others like car navigation systems only needs 10-30 meter of accuracy in order to achieve its goal. Most of the accuracy is determined by equipment used in INS and GPS.Especially the performance from different inertial senors can vary a lot and low cost INS systems may result in errors upto many thousands of meters in just a few stand alone mode. A. Space Segment Presently GPS Space Segment comprises a constellation of 24 operational Navstar satellelite.These satellites orbit the earth with a period of one-half a sidereal day, which is 11 hour 58 minutes to be precise, in nearly circular orbit of radius approximately 26560 km from centre of the earth. This is an altitude of approximately 20,200Km.There are six orbital planes with four satellites in each plus four orbital spares. The full constellation ensures global coverage with 6 to 11 117 | P a g e International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com, Special Issue 42 (AMBALIKA) (March 2017), PP. 117-120 simultaneously observable satellites to users located anywhere in the world at any time of day, thus ensuring considerable satellites considerable satellites continuously transmits coded L band radio signals that the receiver will decode to determine important satellite parameters. The receiver tracks RF signals of selected satellites and calculates three dimensional navigation data and time.The satellites have various identification such as (i) Launch sequence number (ii)Assigned vehicle Pseduo Radom Noise(PRN)code(iii)Orbital position number(iv)Catalogue number (v)International designation and so on. Each satellite carries a highly accurate Cesium or a Rubidium atomic clock to provide timing for satellite signals .Internal clock correction is provided for each satellite clock. All components are precisely controlled by the atomic clock. All signal components are precisely controlled by the atomic clock. The satellite employs transmitting antenna whose shapebeam gain uniform power to system users. B. Control Segment The control comprises a Master Control Station(MCS),an alternate master control station, six worldwide monitor stations and four dedicated ground antenna stations. The ground monitoring stations measure signals from overhead satellites at fixed interval of time and corrected data is transmitted to master control station.MCS determines the orbital model ,clock performance and health of the satellites and these are then delayed to the uplink ground antennas for transmission to satellites ,which is further broadcast to the user segment.The main operations and tasks of MCS can be listed as: (a) Tracking of satellites (b) Orbit determination (c) Prediction,modelling and time synchronisation of satellites (d) Upload of data for broadcast to the user segment (e) Monitoring the health status of the satellites C. User Segment The user segment, normally called a receiver , consists of an antenna along with the receiver electronics that receives and decodes satellite transmissions. The receiver also converts satellite signals to computed position , velocity and time (P,V,T) estimates. The receiver performs the following primary task: (a)Selection of one or more satellites (b)To acquire satellite signals, measuring the range to the satellite and tracking more satellites (c)Processing of measurements in real time to compute navigational data in a navigation frame that is needed by the user application. The receiver maintains a time reference used to generate a replica of the code transmitted by the satellite. The amount of time the receiver must apply to correlate the replica with the satellite clock referenced code received from the satellite, provided a measure of the signal propagation time between the satellite and the receiver. This time when multiplied by the velocity of light provides the range distance. III. INERTIAL NAVIGATION SYSTEM An INS is a navigation system that uses accelerometers and gyroscopes to calculate(with dead reckoning or integration of accelerometers) the position, velocity, acceleration and orientation of an object of interest. Two big advantages of an INS is that it uses no external measurement (except for (expect for initializing) for positioning and is it immune to jamming. It is commonly used in aircraft, missiles and spacecraft. An drawback of INS is the drift error that will accumulate with time and thus positioning information will be in accurate. A sensor that is commonly with INS to solve this problem is magnetometer The magnetometer provide heading information and the magnetometers’ heading information can be fused together with the INS to provide better position estimation. The INS that has been used in this project is based on a previous master thesis and a report is recommended for further information about the INS. This chapter provide some brief information about the INS used in this project IV. GPS/INS INTEGRATION The system is made up of two systems, one called Dead Reckoning Module (DRM) which is an INS system that uses accelerometers, gyroscopes and magnetometers to provide a position information for a (in our case) pedestrian. The other system is the GPS. The objective of integrating these two systems is to provide a better estimation of the position. INS/GPS integration can provide a better estimation of the position than each of the systems used. It utilizes the strengths of the bounded error of the GPS and the short term accuracy from the INS. A normal basic approach is to let INS provide the model and trajectory, while the GPS measurements serve as the update measurement. There are four different ways to approach INS/GPS integration: uncoupled, loosely coupled, tightly coupled and ultra tightly coupled. A. Uncoupled Approach Uncoupled approach is probably the simplest one to INS/GPS integration. It uses the position and velocity estimated by the receiver to, in some intervals of time, update the INS estimated position. Although this is the simplest method to apply it does not provides any possibility for either GPS outage detection or jamming detection. Also, when less than 4 satellites are available the system performance decreases apace. Fig-2 Illustration of Uncoupled Approach B. Loosely Coupled Approach The loosely coupled approach is using two filters to provide an estimate of the receivers position. The first filter is operating in the GPS receiver. It uses raw data from the satellites to estimate the position and velocity. Parallel is a mechanization 118 | P a g e International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com, Special Issue 42 (AMBALIKA) (March 2017), PP. 117-120 process working, estimating the velocity and position of the INS. A second filter is then applied to fuse the GPS position and velocity with the INS position and velocity. The information about the estimated position is then used to update the INS position. The benefit of using loosely coupled is both that it is robust since it uses two diff erent systems to estimate the position, as well as it can be applied to any INS and GPS receiver. The two system also make the loosely coupled approach suitable for GPS fault detection Fig3 illustrates the loosely coupled approach. Fig.3 Loosely Coupled Approach C. Tightly coupled and ultra tightly coupled approach The last two approaches are the tightly and ultra tightly coupled approaches. Those two approaches combine the raw GPS measurements with the raw sensor measurements from the INS, in a single filter. Information to update the sensor values are then transferred back to both the INS and GPS. This approach provides a better estimation than the loosely coupled approach, since the signals coming from the GPS part will not be as correlated as in the loosely coupled approach. This method may also works with as many as one satellite V. APPLICATIONS GPS/INS fusion is mostly used on aircraft for navigation. Use of GPS/INS allows for smoother position and velocity estimates that provides sampling rate faster then GPS receiver.It also allows for accurate estimation of the aircraft attitude (roll, pitch, and yaw)[citation needed] angles. GPS/INS sensor fusion is a nonlinear filter problem, which is commonly approached using the extended Kalman filter (EKF) or the unscented Kalman filter (UKF). The use of these two filters for GPS/INS has been compared in various sources, includes analysis of sensitivity. The analytical linearization approach is used in EKF using Jacobian matrices to linearize The system, while the UKF uses a statistical linearization approach called the unscented transform which uses a set of deterministically selected points that handles the nonlinearity. In UKF the calculation of a matrix square root is required of the state error covariance matrix, determines the spread of the sigma points for the unscented transform. There are various ways that calculate the matrix square root, which have been presented and compared within GPS/INS application. GPS/INS are also used for automobile applications such as autonomous navigation,vehicle dynamics control, or sideslip, roll, and tire cornering stiffness estimation. A. INTEGRATION OF GPS/INS/VISION SENSORS TO NAVIGATE UNMANNED AERIAL VEHICLES Integrated GPS/INS/Vision navigation system is used for Unmanned Aerial Vehicles (UAVs). A CCD (ChargeCoupled Device) video camera and laser rangefinder (LRF) based vision system, combined with inertial sensors, provide the information on the vertical and horizontal movements of the UAV (helicopter) relative to the ground, which is critical for the safety of UAV operations. Two Kalman filers has been designed to operate separately to provide a reliable check on the navigation solutions. When GPS signal is available, the GPS measurements are used to update the error states in the two Kalman filters, in order to estimate the INS sensors, LRF and optic flow modelling errors, and provide redundant navigation solutions.Vision system’s the corrected measurements, the UAV’s relative movements relative to the ground are then estimated continuously, even during GPS signal blockages. The modelling strategy and the data fusion procedure for this sensor integration scenario is discussed with some numerical analysis results, demonstrating the potential performance of the proposed triple integration. B. DGPS/INS data fusion for land navigation The interest in land navigation in increased for the recent years. With the advent of the Global Position System (GPS) we have now the ability to determine the absolute position anywhere on the globe. The GPS system works well only in open environments with no overhead obstructions and the un avoidable errors occur when it there is obstruction.It is occured frequently in urban environments, forests and tunnels. At least four visible satellites are required in GPS Systems to maintain a good position fix. In many situations in which higher level of accuracy is required, the navigation cannot be achieved by GPS alone.The design of a reliable multisensor fusion algorithm uses GPS and Inertial Navigation System in order to decrease the implementation cost of such systems on land vehicles. CONCLUSION The paper has bought out some aspects of integrated inertial navigation. We discussed about basics of global position system and inertial navigation. Tightly coupled or ultra tightly coupled scheme has features which individual systems do not possess and is becoming the choice for aerospace high dynamics area where performance and mission reliability are of prime importance. Satellite navigation aiding is inertial systems are integrated with SNS receivers whose cost strap down micro inertial systems are integrated with the SNS receivers whose cost has also come down over the years. 119 | P a g e International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com, Special Issue 42 (AMBALIKA) (March 2017), PP. 117-120 References [1] Vincent Gabaglio, GPS/INS integration for pedestrian navigation. Lausanne, Switzerland, 2002. [2] Vikas Kumar N, Integration of Inertial Navigation System and Global Positioning System Using Kalman Filtering. Mumbai, India, July 2004. [3] Adrian Schumacher, Integration of a GPS aided Strapdown Inertial Navigation System for Land Vehicles. Stockholm, Sweden, March 2006. [4] Tiziano Fiorenzani, C. Manes, G. Oriolo, P. Peliti Comparative study of unscented Kalman filter and Extended Kalman filter for position/attitude estimation in unmanned aerial vehicles. IASR-CNR, August 2008. 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