Compensation of nonlinear smart sensors is an important topic that must always be considered to assure the accuracy of measurement systems. Nowadays, with the advent of microprocessor devices in smart sensors, advance...
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Compensation of nonlinear smart sensors is an important topic that must always be considered to assure the accuracy of measurement systems. Nowadays, with the advent of microprocessor devices in smart sensors, advanced compensation algorithms can be implemented to improve the accuracy of measurement. In this paper, an inverse modeling methodology based on B-spline is proposed for the compensation of nonlinear smart sensors. To avoid complicated least squares solution of the B-spline, a training algorithm in a recursive form is proposed to reduce the training cost and make the on-chip training of B-spline available. Moreover, the choices of B-spline knots and training points are important designed parameters in this methodology. So the free knot insertion algorithm and training points' selection method are used prior to the training process to improve the accuracy of the inverse models and avoid the under and over fitting. Simulations and results are presented to validate the theoretical expectations. (C) 2011 Elsevier Ltd. All rights reserved.
This article addresses the simultaneous state and unknown input estimation problem for a class of discrete time-varying complex networks (CNs) under redundant channels and dynamic event-triggered mechanisms (ETMs). Th...
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This article addresses the simultaneous state and unknown input estimation problem for a class of discrete time-varying complex networks (CNs) under redundant channels and dynamic event-triggered mechanisms (ETMs). The redundant channels, modeled by an array of mutually independent Bernoulli distributed stochastic variables, are exploited to enhance transmission reliability. For energy-saving purposes, a dynamic event-triggered transmission scheme is enforced to ensure that every sensor node sends its measurement to the corresponding estimator only when a certain condition holds. The primary objective of the investigation carried out is to construct a recursive estimator for both the state and the unknown input such that certain upper bounds on the estimation error covariances are first guaranteed and then minimized at each time instant in the presence of dynamic event-triggered strategies and redundant channels. By solving two series of recursive difference equations, the desired estimator gains are computed. Finally, an illustrative example is presented to show the usefulness of the developed estimator design method.
An order N algorithm Is developed for dynamic simulation of flexible multibody systems in tree topology with open as well as closed branches. The joints between the bodies permit slew and translation degrees of freedo...
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An order N algorithm Is developed for dynamic simulation of flexible multibody systems in tree topology with open as well as closed branches. The joints between the bodies permit slew and translation degrees of freedom. Application of the chain rule of differentiation to the Lagrange equations of motion in conjunction with position and velocity transformations leads to the factorized mass matrix and an order N algorithm for the forward dynamics computation. The constrained degrees of freedom are incorporated by the Lagrange multipliers. Computation of the forward dynamics of flexible multibody systems using a Lagrangian order N method represents an innovation of considerable importance. An example of the space-platform-based mobile manipulator system complements the development.
A set of maximal non-intersecting diagonals can decompose a polygon into triangles, and the edges and diagonals can be converted into the external and internal nodes of a strictly binary tree. This paper gives algorit...
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A set of maximal non-intersecting diagonals can decompose a polygon into triangles, and the edges and diagonals can be converted into the external and internal nodes of a strictly binary tree. This paper gives algorithms to generate all types of triangulations and triangulations at random. Based on that, this paper gives an algorithm to generate strictly binary trees at random. The experimental results show that the numbers of various shapes of strictly binary trees generated are nearly equal. The algorithm to generate strictly binary trees at random can be transformed to the algorithm to randomly generate binary trees.
This paper is concerned with the problem of computing approximate Doptimal design for polynomial regression with analytic weight function on a interval [m(0) - a, m(0) + a]. It is shown that the structure of the optim...
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This paper is concerned with the problem of computing approximate Doptimal design for polynomial regression with analytic weight function on a interval [m(0) - a, m(0) + a]. It is shown that the structure of the optimal design depends on a and weight function. Moreover, the optimal support points and weights are analytic functions of a at a = 0. We make use of a Taylor expansion to provide a recursive procedure for calculating the D-optimal designs.
This work presents a systematic method for the dynamic modeling of multi-rigid links confined within a closed environment. The behavior of the system can be completely characterized by two different mathematical model...
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This work presents a systematic method for the dynamic modeling of multi-rigid links confined within a closed environment. The behavior of the system can be completely characterized by two different mathematical models: a set of highly coupled differential equations for modeling the confined multi-link system when it has no impact with surrounding walls;and a set of algebraic equations for expressing the collision of this open kinematic chain system with the confining surfaces. In order to avoid the Lagrangian formulation (which uses an excessive number of total and partial derivatives in deriving the governing equations of multi-rigid links), the motion equations of such a complex system are obtained according to the recursive Gibbs-Appell formulation. The main feature of this paper is the recursive approach, which is used to automatically derive the governing equations of motion. Moreover, in deriving the motion equations, the manipulators are not limited to planar motions only. In fact, for systematic modeling of the motion of a multi-rigid-link system in 3D space, two imaginary links are added to the -real links of a manipulator in order to model the spatial rotations of the system. Finally, a 2D and a 3D case studies are simulated to demonstrate the effectiveness of the proposed approach.
We present a novel method to online generation of time-optimal acceleration, velocity, and position trajectory values for servo-control systems using low-cost fixed-point processors with no on-chip multipliers. As in ...
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We present a novel method to online generation of time-optimal acceleration, velocity, and position trajectory values for servo-control systems using low-cost fixed-point processors with no on-chip multipliers. As in the case of many product designs, reducing system cost is a key constraint in our method. We address this constraint by optimizing required memory size, computational time, and introducing multiplication-free recursive algorithms most suitable for real-time implementation on low-cost microcontrollers. An efficient search algorithm is presented optimizing the trajectories with respect to total move time for any distance subject to physical constraints of the system. We also introduce a normalized set of first-order difference equations using only integer arithmetic and additions to compute the trajectory values. Complexity of the proposed method is compared with multiplication-based and lookup table methods using three popular microcontrollers with and without an on-chip hardware multiplier.
This paper presents a recursive morphological operation developed in order to perform efficient shape representation. This operation uses a structuring element as a geometrical primitive to evaluate the shape of an ob...
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This paper presents a recursive morphological operation developed in order to perform efficient shape representation. This operation uses a structuring element as a geometrical primitive to evaluate the shape of an object. It results in a set of loci of the translated structuring elements that are included in the object but which do not overlap. The analysis of its computational complexity shows that it is usually less time-consuming than morphological erosion. By using this operation, an object decomposition algorithm is then developed for shape representation. It decomposes an object into a union of simple and nonoverlapping object components. The object is represented by the sizes and loci of its object components. This representation is information preserving shift and scale invariant, and non-redundant. It has been compared with skeletons, morphological decomposition, chain codes and quatrees in terms of compression ability and image processing facility. Experimental results shows that it is very compact, especially if information loss is allowed. Because of the non-overlap between object components, many image processing tasks can be easily performed by directly using this shape representation.
Tchebichef moment is a novel set of orthogonal moment applied in the fields of image analysis and pattern recognition. Less work has been made for the computation of Tchebichef moment and its inverse moment transform....
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Tchebichef moment is a novel set of orthogonal moment applied in the fields of image analysis and pattern recognition. Less work has been made for the computation of Tchebichef moment and its inverse moment transform. In this paper, both a direct recursive algorithm and a compact algorithm are developed for the computation of Tchebichef moment. The effective recursive algorithm for inverse Tchebichef moment transform is also presented. Clenshaw's recurrence formula was used in this paper to transform kernels of the forward and inverse Tchebichef moment transform. There is no need for the proposed algorithms to compute the Tchebichef polynomial values. The approaches presented are more efficient compared with the straightforward methods, and particularly suitable for parallel VLSI implementation due to their regular and simple filter structures. (c) 2005 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.
A recursive algorithm is presented that is designed to construct quantisation tables and codebooks for the hierarchical vector quantisation of images. The algorithm is computationally inexpensive and yields high quali...
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A recursive algorithm is presented that is designed to construct quantisation tables and codebooks for the hierarchical vector quantisation of images. The algorithm is computationally inexpensive and yields high quality codebooks.
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