A review of Kalman filter with artificial intelligence techniques

Kalman filter (KF) is a widely used estimation algorithm for many applications. However, in many cases, it is not easy to estimate the exact state of the system due to many reasons such as an imperfect mathematical model, dynamic environments, or inaccurate parameters of KF. Artificial intelligence (AI) techniques have been applied to many estimation algorithms thanks to the advantage of AI techniques that have the ability of mapping between the input and the output, the so-called "black box". In this paper, we found and reviewed 55 papers that proposed KF with AI techniques to improve its performance. Based on the review, we categorised papers into four groups according to the role of AI as follows: 1) Methods tuning parameters of KF, 2) Methods compensating errors in KF, 3) Methods updating state vector or measurements of KF, and 4) Methods estimating pseudo-measurements of KF. In the concluding section of this paper, we pointed out the directions for future research that suggestion to focus on more research for combining the categorised groups. In addition, we presented the suggestion of beneficial approaches for representative applications

Localisation of mobile nodes in wireless networks with correlated in time measurement noise.

Wireless sensor networks are an inherent part of decision making, object tracking and location awareness systems. This work is focused on simultaneous localisation of mobile nodes based on received signal strength indicators (RSSIs) with correlated in time measurement noises. Two approaches to deal with the correlated measurement noises are proposed in the framework of auxiliary particle filtering: with a noise augmented state vector and the second approach implements noise decorrelation. The performance of the two proposed multi model auxiliary particle filters (MM AUX-PFs) is validated over simulated and real RSSIs and high localisation accuracy is demonstrated

Hybrid multi-sensor navigation system with uncertainty correction for GNSS-denied environments

Acknowledging the vulnerabilities of the Global Navigation Satellite Systems (GNSS) to various interferences, this research investigates alternative navigation solutions, essential for overcoming challenges where GNSS quality is compromised. The study explores a multi-sensor solution, suitable for operation in complex scenarios including degraded environmental conditions. To mitigate the inherent drifting behavior of a widely used alternative navigation information source referred to as the Inertial Navigation System (INS), fusion with a camera and a barometer is adopted within the federated multi-sensor architecture. This approach utilizes an error detection mechanism based on analysis of residual test statistics for Extended Kalman Filter (EKF)-based local filters. To enhance the robustness of the system, a Bidirectional Long Short-Term Memory (BiLSTM) model is implemented for error correction of the filter measurements, integrated before fusion in the master filter. Validation tests in a simulated urban environment using various trajectories and environmental conditions reveal that the proposed mechanism provides a viable alternative to a GNSS-based system for positioning. The performance is compared with the state-of-the-art learning-based multi-sensor navigation system by testing on similar datasets. Comparative results indicate significant improvements in positioning with error correction yielding enhancements of 34%, 44%, and 20% in rainy, snowy and foggy conditions, respectively

The Estimation Methods for an Integrated INS/GPS UXO Geolocation System

This work was supported by a project funded by the US Army Corps of Engineers, Strategic Environment Research and Development Program, contract number W912HQ- 08-C-0044.This report was also submitted to the Graduate School of the Ohio State University in partial fulfillment of the PhD degree in Geodetic Science.Unexploded ordnance (UXO) is the explosive weapons such as mines, bombs, bullets, shells and grenades that failed to explode when they were employed. In North America, especially in the US, the UXO is the result of weapon system testing and troop training by the DOD. The traditional UXO detection method employs metal detectors which measure distorted signals of local magnetic fields. Based on detected magnetic signals, holes are dug to remove buried UXO. However, the detection and remediation of UXO contaminated sites using the traditional methods are extremely inefficient in that it is difficult to distinguish the buried UXO from the noise of geologic magnetic sources or anthropic clutter items. The reliable discrimination performance of UXO detection system depends on the employed sensor technology as well as on the data processing methods that invert the collected data to infer the UXO. The detection systems require very accurate positioning (or geolocation) of the detection units to detect and discriminate the candidate UXO from the non-hazardous clutter, greater position and orientation precision because the inversion of magnetic or EMI data relies on their precise relative locations, orientation, and depth. The requirements of position accuracy for MEC geolocation and characterization using typical state-of-the-art detection instrumentation are classified according to levels of accuracy outlined in: the screening level with position tolerance of 0.5 m (as standard deviation), area mapping (less than 0.05 m), and characterize and discriminate level of accuracy (less than 0.02m). The primary geolocation system is considered as a dual-frequency GPS integrated with a three dimensional inertial measurement unit (IMU); INS/GPS system. Selecting the appropriate estimation method has been the key problem to obtain highly precise geolocation of INS/GPS system for the UXO detection performance in dynamic environments. For this purpose, the Extended Kalman Filter (EKF) has been used as the conventional algorithm for the optimal integration of INS/GPS system. However, the newly introduced non-linear based filters can deal with the non-linear nature of the positioning dynamics as well as the non-Gaussian statistics for the instrument errors, and the non-linear based estimation methods (filtering/smoothing) have been developed and proposed. Therefore, this study focused on the optimal estimation methods for the highly precise geolocation of INS/GPS system using simulations and analyses of two Laboratory tests (cart-based and handheld geolocation system). First, the non-linear based filters (UKF and UKF) have been shown to yield superior performance than the EKF in various specific simulation tests which are designed similar to the UXO geolocation environment (highly dynamic and small area). The UKF yields 50% improvement in the position accuracy over the EKF particularly in the curved sections (medium-grade IMUs case). The UKF also performed significantly better than EKF and shows comparable improvement over the UKF when the IMU noise probability iii density function is symmetric and non-symmetric. Also, since the UXO detection survey does not require the real-time operations, each of the developed filters was modified to accommodate the standard Rauch-Tung-Striebel (RTS) smoothing algorithms. The smoothing methods are applied to the typical UXO detection trajectory; the position error was reduced significantly using a minimal number of control points. Finally, these simulation tests confirmed that tactical-grade IMUs (e.g. HG1700 or HG1900) are required to bridge gaps of high-accuracy ranging solution systems longer than 1 second. Second, these result of the simulation tests were validated from the laboratory tests using navigation-grade and medium-grade accuracy IMUs. To overcome inaccurate a priori knowledge of process noise of the system, the adaptive filtering methods have been applied to the EKF and UKF and they are called the AEKS and AUKS. The neural network aided adaptive nonlinear filtering/smoothing methods (NN-EKS and NN-UKS) which are augmented with RTS smoothing method were compared with the AEKS and AUKS. Each neural network-aided, adaptive filter/smoother improved the position accuracy in both straight and curved sections. The navigation grade IMU (H764G) can achieve the area mapping level of accuracy when the gap of control points is about 8 seconds. The medium grade IMUs (HG1700 and HG1900) with NN-AUKS can maintain less than 10cm under the same conditions as above. Also, the neural network aiding can decrease the difference of position error between the straight and the curved section. Third, in the previous simulation test, the UPF performed better than the other filters. However since the UPF needs a large number of samples to represent the a posteriori statistics in high-dimensional space, the RBPF can be used as an alternative to avoid the inefficiency of particle filter. The RBPF is tailored to precise geolocation for UXO detection using IMU/GPS system and yielded improved estimation results with a small number of samples. The handheld geolocation system using HG1900 with a nonlinear filter-based smoother can achieve the discrimination level of accuracy if the update rate of control points is less than 0.5Hz and 1Hz for the sweep and swing respectively. Also, the sweep operation is more preferred than the swing motion because the position accuracy of the sweep test was better than that of the swing test

Shrinkage Based Particle Filters for Tracking in Wireless Sensor Networks with Correlated Sparse Measurements

This thesis focuses on the development of mobile tracking approaches in wireless sensor networks (WSNs) with correlated and sparse measurements. In wireless networks, devices have the ability to transfer information over the network nodes via wireless signals. The strength of a wireless signal at a receiver is referred as the received signal strength (RSS) and many wireless technologies such as Wi-Fi, ZigBee, the Global Positioning Systems (GPS), and other Satellite systems provide the RSS measurements for signal transmission. Due to the availability of RSS measurements, various tracking approaches in WSNs were developed based on the RSS measurements. Unfortunately, the feasibility of tracking using the RSS measurements is highly dependent on the connectivity of the wireless signals. The existing connectivity may be intermittently disrupted due to the low-battery status on the sensor node or temporarily sensor malfunction. In ad-hoc networks, the number of observation of the RSS measurements rapidly changing due to the movements of network nodes and mobile user. As a result, the tracking algorithms have limited data to perform state inference and this prevents accurate tracking. Furthermore, consecutive RSS measurements obtained from nearby sensor nodes exhibit spatio-temporal correlation, which provides extra information to be exploited. Exploiting the statistical information on the measurements noise covariance matrix increases the tracking accuracy. When the number of observations is relatively large, estimating the measurement noise covariance matrix is feasible. However, when they are relatively small, the covariance matrix estimation becomes ill-conditioned and non-invertible. In situations where the RSS measurements are corrupted by outliers, state inference can be misleading. Outliers can come from the sudden environmental disturbances, temporary sensor failures or even from the intrinsic noise of the sensor device. The outliers existence should be considered accordingly to avoid false and poor estimates. This thesis proposes first a shrinkage-based particle filter for mobile tracking in WSNs. It estimates the correlation in the RSS measurement using the shrinkage estimator. The shrinkage estimator overcomes the problems of ill-conditioned and non-invertibility of the measurement noise covariance matrix. The estimated covariance matrix is then applied to the particle filter. Secondly, it develops a robust shrinkage based particle filter for the problem of outliers in the RSS measurements. The proposed algorithm provides a non-parametric shrinkage estimate and represents a multiple model particle filter. The performances of both proposed filters are demonstrated over challenging scenarios for mobile tracking

Application of data and information fusion

Ph.DDOCTOR OF PHILOSOPH

Optimized state feedback regulation of 3DOF helicopter system via extremum seeking

In this paper, an optimized state feedback regulation of a 3 degree of freedom (DOF) helicopter is designed via extremum seeking (ES) technique. Multi-parameter ES is applied to optimize the tracking performance via tuning State Vector Feedback with Integration of the Control Error (SVFBICE). Discrete multivariable version of ES is developed to minimize a cost function that measures the performance of the controller. The cost function is a function of the error between the actual and desired axis positions. The controller parameters are updated online as the optimization takes place. This method significantly decreases the time in obtaining optimal controller parameters. Simulations were conducted for the online optimization under both fixed and varying operating conditions. The results demonstrate the usefulness of using ES for preserving the maximum attainable performance

Cooperative Localization in Mobile Underwater Acoustic Sensor Networks

Die großflächige Erkundung und Überwachung von Tiefseegebieten gewinnt mehr und mehr an Bedeutung für Industrie und Wissenschaft. Diese schwer zugänglichen Areale in der Tiefsee können nur mittels Teams unbemannter Tauchbote effizient erkundet werden. Aufgrund der hohen Kosten, war bisher ein Einsatz von mehreren autonomen Unterwasserfahrzeugen (AUV) wirtschaftlich undenkbar, wodurch AUV-Teams nur in Simulationen erforscht werden konnten. In den letzten Jahren konnte jedoch eine Entwicklung hin zu günstigeren und robusteren AUVs beobachtet werden. Somit wird der Einsatz von AUV-Teams in Zukunft zu einer realen Option. Die wachsende Nachfrage nach Technologien zur Unterwasseraufklärung und Überwachung konnte diese Entwicklung noch zusätzlich beschleunigen. Eine der größten technischen Hürden für tief tauchende AUVs ist die Unterwasserlokalisierug. Satelitengestützte Navigation ist in der Tiefe nicht möglich, da Radiowellen bereits nach wenigen Metern im Wasser stark an Intensität verlieren. Daher müssen neue Ansätze für die Unterwasserlokalisierung entwickelt werden die sich auch für Fahrzeugenverbände skalieren lassen. Der Einsatz von AUV-Teams ermöglicht nicht nur völlig neue Möglichkeiten der Kooperation, sondern erlaubt auch jedem einzelnen AUV von den Navigationsdaten der anderen Fahrzeuge im Verband zu profitieren, um die eigene Lokalisierung zu verbessern. In dieser Arbeit wird ein kooperativer Lokalisierungsansatz vorgestellt, welcher auf dem Nachrichtenaustausch durch akustische Ultra-Short Base-Line (USBL) Modems basiert. Ein akustisches Modem ermöglicht die Übertragung von Datenpaketen im Wasser, wärend ein USBL-Sensor die Richtung einer akustischen Quelle bestimmen kann. Durch die Kombination von Modem und Sensor entsteht ein wichtiges Messinstrument für die Unterwasserlokalisierung. Wenn ein Fahrzeug ein Datenpaket mit seiner eignen Position aussendet, können andere Fahrzeuge mit einem USBL-Modem diese Nachricht empfangen. In Verbindung mit der Richtungsmessung zur Quelle, können diese Daten von einem Empfangenden AUV verwendet werden, um seine eigene Positionsschatzung zu verbessern. Diese Arbeit schlägt einen Ansatz zur Fusionierung der empfangenen Nachricht mit der Richtungsmessung vor, welcher auch die jeweiligen Messungenauigkeiten berücksichtigt. Um die Messungenauigkeit des komplexen USBL-Sensors bestimmen zu können, wurde zudem ein detailliertes Sensormodell entwickelt. Zunächst wurden existierende Ansätze zur kooperativen Lokalisierung (CL) untersucht, um daraus eine Liste von erwünschten Eigenschaften für eine CL abzuleiten. Darauf aufbauend wurde der Deep-Sea Network Lokalisation (DNL) Ansatz entwickelt. Bei DNL handelt es sich um eine CL Methode, bei der die Skalierbarkeit sowie die praktische Anwendbarkeit im Fokus stehen. DNL ist als eine Zwischenschicht konzipiert, welche USBL-Modem und Navigationssystem miteinander verbindet. Es werden dabei Messwerte und Kommunikationsdaten des USBL zu einer Standortbestimmung inklusive Richtungsschätzung fusioniert und an das Navigationssystem weiter geleitet, ähnlich einem GPS-Sensor. Die Funktionalität von USBL-Modell und DNL konnten evaluiert werden anhand von Messdaten aus Seeerprobungen in der Ostsee sowie im Mittelatlantik. Die Qualität einer CL hangt häufig von vielen unterschiedlichen Faktoren ab. Die Netzwerktopologie muss genauso berücksichtig werden wie die Lokalisierungsfähigkeiten jedes einzelnen Teilnehmers. Auch das Kommunikationsverhalten der einzelnen Teilnehmer bestimmt, welche Informationen im Netzwerk vorhanden sind und hat somit einen starken Einfluss auf die CL. Um diese Einflussfaktoren zu untersuchen, wurden eine Reihe von Szenarien simuliert, in denen Kommunikationsverhalten und Netzwerktopologie für eine Gruppe von AUVs variiert wurden. In diesen Experimenten wurden die AUVs durch ein Oberflächenfahrzeug unterstützt, welches seine geo-referenzierte Position über DNL an die getauchten Fahrzeuge weiter leitete. Anhand der untersuchten Topologie können die Experimente eingeteilt werden in Single-Hop und Multi-Hop. Single-Hop bedeutet, dass jedes AUV sich in der Sendereichweite des Oberflächenfahrzeugs befindet und dessen Positionsdaten auf direktem Wege erhält. Wie die Ergebnisse der Single-Hop Experimente zeigen, kann der Lokalisierungsfehler der AUVs eingegrenzt werden, wenn man DNL verwendet. Dabei korreliert der Lokalisierungsfehler mit der kombinierten Ungenauigkeit von USBL-Messung und Oberflächenfahrzeugposition. Bei den Multi-Hop Experimenten wurde die Topologie so geändert, dass sich nur eines der AUVs in direkter Sendereichweite des Oberflächenfahrzeugs befindet. Dieses AUV verbessert seine Position mit den empfangen Daten des Oberflächenfahrzeugs und sendet wiederum seine verbesserte Position an die anderen AUVs. Auch hier konnte gezeigt werden, dass sich der Lokalisierungfehler der Gruppe mit DNL einschränken lässt. Ändert man nun das Schema der Kommunikation so, dass alle AUVs zyklisch ihre Position senden, zeigte sich eine Verschlechterung der Lokalisierungsqualität der Gruppe. Dieses unerwartet Ergebnis konnte auf einen Teil des DNL-Algorithmus zurück geführt werden. Da die verwendete USBL-Klasse nur die Richtung eines Signals misst, nicht jedoch die Entfernung zum Sender, wird in der DNL-Schicht eine Entfernungsschatzung vorgenommen. Wenn die Kommunikation nicht streng unidirektional ist, entsteht eine Ruckkopplungsschleife, was zu fehlerhaften Entfernungsschatzungen führt. Im letzten Experiment wird gezeigt wie sich dieses Problem vermeiden lasst, mithilfe einer relativ neue USBL-Klasse, die sowohl Richtung als auch Entfernung zum Sender misst. Die zwei wesentlichen Beiträge dieser Arbeit sind das USBL-Model zum einen und zum Anderen, der neue kooperative Lokalisierungsansatz DNL. Mithilfe des Sensormodels lassen sich nicht nur Messabweichungen einer USBL-Messung bestimmen, es kann auch dazu genutzt werden, einige Fehlereinflüsse zu korrigieren. Mit DNL wurde eine skalierbare CL-Methode entwickelt, die sich gut für den den Einsatz bei mobilen Unterwassersensornetzwerken eignet. Durch das Konzept als Zwischenschicht, lasst sich DNL einfach in bestehende Navigationslösungen integrieren, um die Langzeitstabilität der Navigation für große Verbände von tiefgetauchten Fahrzeugen zu gewährleisten. Sowohl USBL-Model als auch DNL sind dabei so ressourcenschonend, dass sie auf dem Computer eines Standard USBL laufen können, ohne die ursprüngliche Funktionalität einzuschränken, was den praktischen Einsatz zusätzlich vereinfacht

Energy-Efficient Self-Organization of Wireless Acoustic Sensor Networks for Ground Target Tracking

With the developments in computing and communication technologies, wireless sensor networks have become popular in wide range of application areas such as health, military, environment and habitant monitoring. Moreover, wireless acoustic sensor networks have been widely used for target tracking applications due to their passive nature, reliability and low cost. Traditionally, acoustic sensor arrays built in linear, circular or other regular shapes are used for tracking acoustic sources. The maintaining of relative geometry of the acoustic sensors in the array is vital for accurate target tracking, which greatly reduces the flexibility of the sensor network. To overcome this limitation, we propose using only a single acoustic sensor at each sensor node. This design greatly improves the flexibility of the sensor network and makes it possible to deploy the sensor network in remote or hostile regions through air-drop or other stealth approaches. Acoustic arrays are capable of performing the target localization or generating the bearing estimations on their own. However, with only a single acoustic sensor, the sensor nodes will not be able to generate such measurements. Thus, self-organization of sensor nodes into virtual arrays to perform the target localization is essential. We developed an energy-efficient and distributed self-organization algorithm for target tracking using wireless acoustic sensor networks. The major error sources of the localization process were studied, and an energy-aware node selection criterion was developed to minimize the target localization errors. Using this node selection criterion, the self-organization algorithm selects a near-optimal localization sensor group to minimize the target tracking errors. In addition, a message passing protocol was developed to implement the self-organization algorithm in a distributed manner. In order to achieve extended sensor network lifetime, energy conservation was incorporated into the self-organization algorithm by incorporating a sleep-wakeup management mechanism with a novel cross layer adaptive wakeup probability adjustment scheme. The simulation results confirm that the developed self-organization algorithm provides satisfactory target tracking performance. Moreover, the energy saving analysis confirms the effectiveness of the cross layer power management scheme in achieving extended sensor network lifetime without degrading the target tracking performance