This work studies the leaderless consensus problem in networks composed of non-identical flexible-joint robot manipulators. Using standard functional analysis, i.e., Barbâlat's Lemma, it is established that a...
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This work studies the leaderless consensus problem in networks composed of non-identical flexible-joint robot manipulators. Using standard functional analysis, i.e., Barbâlat's Lemma, it is established that a simple control law provides a solution to the leaderless consensus problem. The network is modeled as an undirected graph and the interconnection can exhibit variable time-delays. The proposed controller consists of two different terms, one that dynamically compensates the robot gravity and another which ensures the desired consensus objective. This last term is a simple Proportional plus damping scheme. Simulations, using a network with nine 2-degrees of freedom manipulators, are provided to support the theoretical contributions of this work.
In this paper, we introduce a set of sensor networks, called the cascading quadrilateral network, and study how to compute the positions of its nodes in a cooperative way. We investigate the condition for determining ...
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This paper revisits the synchronisation problem for second-order multi-agent systems(MASs)under dynamically changing communication *** employing the reference model-based synchronisation algorithm,it is finally shown ...
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This paper revisits the synchronisation problem for second-order multi-agent systems(MASs)under dynamically changing communication *** employing the reference model-based synchronisation algorithm,it is finally shown that synchronisation for both the position and velocity states can be achieved if the union of the communication topologies has a directed spanning tree frequently *** extends the existing results obtained for second-order MASs which exploits mild communication topology condition guaranteeing the synchronisation to a more general *** analysis is successfully performed by exploiting the product properties of row-stochastic matrices,which can also provide us with an estimate the convergence rate towards the synchronisation.
There is considerable interest in reducing the number of sensors/beacons involved in underwater positioning/navigation systems since this has the potential to drastically reduce the costs and the time spent in deployi...
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There is considerable interest in reducing the number of sensors/beacons involved in underwater positioning/navigation systems since this has the potential to drastically reduce the costs and the time spent in deploying, calibrating, and recovering acoustic equipment at sea. Motivated by these considerations, we address the problem of single underwater target positioning based on acoustic range measurements between the target and a moving sensor at the sea surface. In particular, the goal of the present work is to compute optimal geometric trajectories for the surface sensor that will, in a well defined sense, maximize the range-related information available for underwater target positioning and tracking. To this effect, the Fisher Information Matrix and the maximization of its determinant are used to determine the sensor trajectory that yields the most accurate positioning of the target, while the latter describes a preplanned trajectory. It is shown that the optimal trajectory depends on the velocity of the sensor, the velocity and trajectory of the target, the sampling time between measurements, the measurement error model, and the number of measurements used to compute the FIM. Simulation examples illustrate the key results derived.
A Dubins vehicle circumnavigation controller is derived based on an analysis of state space dynamics resulting from a state transformation. The controller is designed and analyzed in the state space with two continuou...
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The paper proposes a multi-layer supervisory architecture for integrated control systems in road vehicles. The role of the supervisor is to coordinate active control components and provide priority among them. The sup...
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The following article has been included in a multiple retraction:Canonical Dual Approach for Contact Mechanics Problems with Friction; Vittorio Latorre, Simone Sagratella, David Y ***://***/content/early/2015/01/20/**...
The following article has been included in a multiple retraction:Canonical Dual Approach for Contact Mechanics Problems with Friction; Vittorio Latorre, Simone Sagratella, David Y ***://***/content/early/2015/01/20/*** 2015 SAGE were made aware of concerns regarding the Special Issue of Mathematics & Mechanics of Solids on Advances in Canonical Duality Theory, guest-edited by Professor David *** the request of the Guest Editor, the Special Issue has been retracted, due to conflict of interest regarding Professor Gao’s role as Guest Editor and co-author on a number of submitted papers. In addition the peer review process was less rigorous than the journal requires. The Guest Editor takes full responsibility for the *** following articles that were due to appear in the Special Issue have therefore been retracted:Canonical Duality-Triality: Bridge between Nonconvex Analysis/Mechanics and Global Optimization in complex systems; David Y Gao, Ning Ruan, and Vittorio ***://***/content/early/2015/02/24/*** Dual Approach for Contact Mechanics Problems with Friction; Vittorio Latorre, Simone Sagratella, David Y ***://***/content/early/2015/01/20/*** Duality Theory for Solving Non-Monotone Variational Inequality Problems; Guoshan Liu, David Y Gao, Shouyang ***://***/content/early/2015/02/04/*** Well Potential Function and Its Optimization in The n-dimensional Real Space. Part I; Shu-Cherng Fang, David Y Gao, Gang-Xuan Lin, Ruey-Lin Sheu, Wen-Xun ***://***/content/early/2015/02/24/*** Well Potential Function and Its Optimization in The n-dimensional Real Space. Part II; Yong Xia, Ruey-Lin Sheu, Shu-Cherng Fang, Wenxun ***://***/content/early/2015/02/09/*** Solutions to 3-D Finite Deformat
Lifting as geometric operation can be defined as a pseudo-inverse of orthogonal projection. It has received attention in different fields and applications (mechanics, geometry, control, etc). Numerous studies have bee...
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ISBN:
(纸本)9781479947287
Lifting as geometric operation can be defined as a pseudo-inverse of orthogonal projection. It has received attention in different fields and applications (mechanics, geometry, control, etc). Numerous studies have been dedicated to the existence conditions of a convex lifting in a higher dimension for a given cell complex. It is worth noting that this notion can be extended for a polyhedral partition for applications in control theory, and it is recently shown to be the key step in solving the inverse parametric linear/quadratic programming problems. The present paper presents in a succinct manner the main elements of this topological problem with specific attention to the case of polyhedral partitions and their liftings. Furthermore, we are interested from the practical point of view, in the use of these concepts in control system design. Practically, a construction for the Voronoi diagram class is presented. Secondly, a methodological result is presented which leads to the modification of partitions guaranteeing a theoretically liftable result. In addition, a generic constructive procedure for the partitions based on convexity, continuity and linear (or quadratic) programming is proposed. In order to bring the discussion closer to the control related formulations, the correspondence between convex liftings of a given partition in ℝ d onto (d+1)-space and n-space with n > d+1 is provided. Finally an analysis with respect to predictive control related problems will conclude our contribution.
This paper considers the identification of stochastic Wiener dynamic systems, that is linear dynamic systems with process noise, where the measurable output signal is a nonlinear function of the output from the linear...
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ISBN:
(纸本)9781467360890
This paper considers the identification of stochastic Wiener dynamic systems, that is linear dynamic systems with process noise, where the measurable output signal is a nonlinear function of the output from the linear system corrupted with additive measurement noise. It is shown how stochastic Wiener system identification can be viewed as a particular non-linear model errors-in-variables problem, for which there exists a large literature. We compare the maximum likelihood method with prediction error minimization methods based on the conditional mean predictor for Wiener systems. Related methods have previously been studied in the framework of identification of non-linear error-in-variables models. We extend these results by taking the input signal to the Wiener system into consideration. For example, the input will affect the variance of the prediction errors. Hence, a prediction error method with a variance weighting is derived to obtain more reliable parameter estimates. An advantage with the prediction error method is that for certain special cases we can avoid numerical integration. We also discuss how the unscented transform can be used to obtain an approximate predictor for the prediction error method. The numerical evaluation of these methods is performed on a simple first order FIR system with a cubic nonlinearity, for which some illustrative analytic properties are derived.
A recently proposed Bayesian tracking procedure for sensor networks approximates the update equation, which involves non-linear measurements, with a simple equation using the maximum likelihood (ML) estimate of the un...
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A recently proposed Bayesian tracking procedure for sensor networks approximates the update equation, which involves non-linear measurements, with a simple equation using the maximum likelihood (ML) estimate of the unknown state. This approach permits a numerically efficient implementation of the tracking procedure, and is suitable for a distributed implementation. In this paper we study the extent to which this approach approximates the theoretical Bayesian solution. We provide conditions to guarantee that the approximation becomes asymptotically exact, as the number of nodes becomes large. This result is relevant in applications where each sensor obtains a measurement with limited information about the state, but a large number of sensors is available. We apply our result to a case study, and present numerical simulations, showing that the approximation error becomes negligible for a relatively small number of nodes.
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