Dynamics-Based Attitude Determination Using the Global Positioning System

Chun, Changmook; Park, F. C.

doi:10.2514/2.4767

Cited by 18 publications

(7 citation statements)

References 18 publications

(19 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cohen and Parkinson (1992), Cohen (1996), Crassidis et al (1999), Chun and Park (1995). These methods take advantage of the change in receiver-satellite geometry that is induced by the platform's motion.…”

Section: Introductionmentioning

confidence: 97%

Testing of a new single-frequency GNSS carrier phase attitude determination method: land, ship and aircraft experiments

2010

View full text Add to dashboard Cite

Global navigation satellite system (GNSS) ambiguity resolution is the process of resolving the unknown cycle ambiguities of the carrier phase data as integers. The sole purpose of ambiguity resolution is to use the integer ambiguity constraints as a means of improving significantly on the precision of the remaining GNSS model parameters. In this contribution, we consider the problem of ambiguity resolution for GNSS attitude determination. We analyse the performance of a new ambiguity resolution method for GNSS attitude determination. As it will be shown, this method provides a numerically efficient, highly reliable and robust solution of the nonlinearly constrained integer least-squares GNSS compass estimators. The analyses have been done by means of a unique set of extensive experimental tests, using simulated as well as actual GNSS data and using receivers of different manufacturers and type as well as different platforms. The executed field tests cover two static land experiments, one in the Netherlands and one in Australia, and two dynamic experiments, a low-dynamics vessel experiment and high-dynamics aircraft experiment. In our analyses, we focus on stand-alone, unaided, single-frequency, singleepoch attitude determination, as this is the most challenging case of GNSS compass processing.

show abstract

Section: Introductionmentioning

confidence: 97%

Testing of a new single-frequency GNSS carrier phase attitude determination method: land, ship and aircraft experiments

2010

View full text Add to dashboard Cite

show abstract

“…This section describes the proposed method for 3-D GNSS attitude determination using the above derived first and second order Riemannian optimization algorithms. First, the ambiguity resolution method presented in (8) and (9) of Section II is applied to resolve the integer ambiguities. It should be noted that the antenna configuration shown in Fig.…”

Section: -D Gnss Attitude Determination Using Riemannian Optimizamentioning

confidence: 99%

Precise 3-D GNSS Attitude Determination Based on Riemannian Manifold Optimization Algorithms

Douik

Liu

Ballal

et al. 2020

IEEE Trans. Signal Process.

View full text Add to dashboard Cite

In the past few years, Global Navigation Satellite Systems (GNSS) based attitude determination has been widely used thanks to its high accuracy, low cost, and real-time performance. This paper presents a novel 3-D GNSS attitude determination method based on Riemannian optimization techniques. The paper first exploits the antenna geometry and baseline lengths to reformulate the 3-D GNSS attitude determination problem as an optimization over a non-convex set. Since the solution set is a manifold, in this manuscript we formulate the problem as an optimization over a Riemannian manifold. The study of the geometry of the manifold allows the design of efficient first and second order Riemannian algorithms to solve the 3-D GNSS attitude determination problem. Despite the non-convexity of the problem, the proposed algorithms are guaranteed to globally converge to a critical point of the optimization problem. To assess the performance of the proposed framework, numerical simulations are provided for the most challenging attitude determination cases: the unaided, singleepoch, and single-frequency scenarios. Numerical results reveal that the proposed algorithms largely outperform state-of-the-art methods for various system configurations with lower complexity than generic non-convex solvers, e.g., interior point methods.

show abstract

“…Cohen 1996;Crassidis and Markley 1997;Bar-Itzhach et al 1998;Li et al 2002) and (2) stochastic filtering algorithms (e.g. Ward and Axelrad 1996;Chun and Park 2001;Choukroun 2002). There are two types of point estimation algorithms.…”

Section: Introductionmentioning

confidence: 99%

On-the-fly GPS-based attitude determination using single- and double-differenced carrier phase measurements

Zhang

Roberts

et al. 2004

GPS Solutions

View full text Add to dashboard Cite

Carrier phase measurements are primary observations for GPS attitude determination. Although the satellite-related errors can be virtually eliminated by forming single differences, the baseline-related errors such as line biases are still present in the single-differenced carrier phase measurements. It is, therefore, difficult to resolve the single-differenced integer ambiguities due to the line biases. By forming double differences, the line biases of the single-differenced carrier phase measurements can be effectively removed. However, the main disadvantages of this method lie in the fact that the double-differenced measurements are mathematically correlated and consequently the attitude obtained from the double differences is noisy. This paper presents a new algorithm through which both single and double differences are used simultaneously to resolve these problems in realtime. The solution of the integer ambiguities can be obtained by searching for the most likely grid point in the attitude domain that is independent of the correlation with the double differences. Next, the line biases and corresponding single difference integer ambiguities can be resolved on the fly by using the noisy attitude solution obtained from the previous double difference procedure. In addition, the relationship between the physical signal path difference and the line bias is formed. A new method is also applied to derive the attitude angles through finding the optimal solution of the attitude matrix element. The proposed new procedure is validated using ground and flight tests. Results have demonstrated that the new algorithm is effective and can satisfy the requirement of real-time applications.

show abstract

Dynamics-Based Attitude Determination Using the Global Positioning System

Cited by 18 publications

References 18 publications

Testing of a new single-frequency GNSS carrier phase attitude determination method: land, ship and aircraft experiments

Testing of a new single-frequency GNSS carrier phase attitude determination method: land, ship and aircraft experiments

Precise 3-D GNSS Attitude Determination Based on Riemannian Manifold Optimization Algorithms

On-the-fly GPS-based attitude determination using single- and double-differenced carrier phase measurements

Contact Info

Product

Resources

About