The recently developed concepts of quaternion Fourier transform (QFT), quaternion convolution (QCV), and quaternion correlation, which are based on quaternion algebra, have been found to be useful for color image processing. However, the necessary computational algorithms and their complexity still need some attention. In this paper, we will develop efficient algorithms for QFT, QCV, and quater...

This paper discusses the design and performance achievable with active aerodynamic attitude control in very low Earth orbit, i.e. below 450 km altitude. A novel real-time algorithm is proposed for selecting angles of deflection actuators providing closest match to signal computed by a selected law. The based on panel method computation coefficients relies approximate environmental parameters es...

Attitude estimation is a core problem in many robotic systems that perform automated or semi automated navigation. The configuration space of the attitude motion is naturally modelled on the Lie group of special orthogonal matrices SO(3). Many current attitude estimation methods are based on non-matrix parameterization of attitude. Non-matrix parameterization schemes sometimes lead to modelling...

In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant concept, a new inverse concept of quaternion matrix and a new similar matrix concept. Under the new concept system, many quaternion algebra problems can be transformed into complex algebra problems to express ...

Rigid body models with two controls cannot be locally asymptotically stabilized by continuous state feedbacks. Existence of a locally stabilizing smooth time-varying feedback has however been proved. Here, such a feedback is ezplicitely derived. 1 Introduction The attitude control of a rigid spacecraft operating in degraded mode, i.e with only one or two controls, has already been much studied ...

Various attitude estimation methods are based on an optimization problem posed in 1965 by Grace Wahba, which is called Wahba’s the field of estimation. As a key for determination, many different algorithms minimizing loss function have been proposed past 60 years. Among most representative Quaternion Estimator (QUEST), Singular Value Decomposition (SVD), and Fast Optimal Attitude Matrix (FOAM),...

Conventional attitude/orientation estimating filters are generally complex demanding excessive computational burden. This instigates the requirement for a computationally simple yet sufficiently precise algorithm for applications where computational complexity is of prime import. A relatively simple, robust and equally efficient technique in this regard is the development of complementary filte...

Principal component analysis (PCA)-based approach for user heading estimation using a smartphone in the pocket suffers from an inaccurate estimation of device attitude, which plays a central role in both obtaining acceleration signals in the horizontal plane and the ultimate global walking direction extraction. To solve this problem, we propose a novel heading estimation approach based on two u...

In order to reduce the computational complexity, and improve the pitch/roll estimation accuracy of the low-cost attitude heading reference system (AHRS) under conditions of magnetic-distortion, a novel linear Kalman filter, suitable for nonlinear attitude estimation, is proposed in this paper. The new algorithm is the combination of two-step geometrically-intuitive correction (TGIC) and the Kal...

in this paper, an adaptive attitude control algorithm is developed based on neural network for a satellite using four reaction wheels in a tetrahedron configuration. then, an attitude control based on feedback linearization control has been designed and uncertainties in the moment of inertia matrix and disturbances torque have been considered. in order to eliminate the effect of these uncertain...