This paper addresses the coordinated tracking control problem for multi-agent systems with general linear dynamics and a leader whose control input might be nonzero and not available to any follower. Based on the rela...
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ISBN:
(纸本)9781467318723;9781467318716
This paper addresses the coordinated tracking control problem for multi-agent systems with general linear dynamics and a leader whose control input might be nonzero and not available to any follower. Based on the relative states of neighboring agents, two distributed continuous controllers with, respectively, static and adaptive coupling gains, are designed, under which the tracking error of each follower is uniformly ultimately bounded, if the communication graph among the followers is undirected, the leader has directed paths to all followers, and the leader's control input is bounded. A sufficient condition for the existence of the distributed controllers is that each agent is stabilizable.
In this paper, a distributed tracking control is proposed for a second-order multi-agent system with an active leader, based on a decentralized event-triggered scheduling strategy and a novel distributed velocity esti...
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ISBN:
(纸本)9781467318723;9781467318716
In this paper, a distributed tracking control is proposed for a second-order multi-agent system with an active leader, based on a decentralized event-triggered scheduling strategy and a novel distributed velocity estimation technique. The acceleration of the leader is assumed to be time-varying and partially unknown. By applying dynamic tracking control with an event-triggered strategy to the system, the ultimate boundedness stability of the tracking error is ensured by Lyapunov stability theory. Some numerical simulation results are given to demonstrate the effectiveness of the new approach.
Abstract The problem under consideration is to determine an activation policy of discrete scanning sensors for identification of unknown parameters in distributedsystems in the situation when some resource related co...
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Abstract The problem under consideration is to determine an activation policy of discrete scanning sensors for identification of unknown parameters in distributedsystems in the situation when some resource related constraints have to be simultaneously satisfied. An observation policy is proposed to provide a proper distribution of sensors over the considered spatial domain for the purpose of maximizing the parameter identification accuracy using a minimal number of sensors and reducing the accumulated activation time. The problem is cast as a multiobjective optimization one and solved using the goal attainment method which applies sequential quadratic programming and an efficient guided search algorithm based on the branch-and-bound method.
This paper introduces it new simple quantitative robust control technique designing applicable to one-point feedback controllers for distributed parameter systems (DPSs) with uncertainty. The paper considers the spati...
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This paper introduces it new simple quantitative robust control technique designing applicable to one-point feedback controllers for distributed parameter systems (DPSs) with uncertainty. The paper considers the spatial distribution of the relevant points where the inputs and the outputs of the control system are applied (actuators, sensors, disturbances and control objectives) and introduces a new set of transfer functions (TFs) that describe the relationships between the distributed inputs and Outputs of the system. Based on these TFs, the paper extends the classical robust stability and performance specifications to the DPS case and presents a new set of quadratic inequalities to define the quantitative feedback theory bounds. The method can also deal with uncertainty in both the model and the spatial distribution of the inputs and the outputs. Some examples illustrate the use and simplicity of the proposed methodology. Copyright (c) 2006 John Wiley & Sons, Ltd.
In this article we focus on the mathematical development of vulnerability concept and vulnerability index and analyze the dependence of the vulnerability concept definition on that of spreadability [A. El Jai and K. K...
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In this article we focus on the mathematical development of vulnerability concept and vulnerability index and analyze the dependence of the vulnerability concept definition on that of spreadability [A. El Jai and K. Kassara, "Spreadable distributedsystems", Mathem. and Comp. model., 20, pp. 47-64, 1994;A. Bernoussi and A. El Jai, "New approach of spread ability", Journal of Mathematical and Computer Modelling 31, pp 93-109, 2000;A. Bernoussi, A. El Jai and A. J. Pritchard, "Spreadability and evolving interfaces", Inter. J. Syst. Sci., 32, pp. 1217-1232, 2001]. It is found that the mathematical approach of the vulnerability concept is rather attractive and can be applied to many engineering problems. To illustrate this, some examples and applications are considered.
An alternative analysis technique, which does not require eigensolutions as a priori, for the dynamic response solutions, in terms of the transfer function, of one-dimensional distributed parameter systems with arbitr...
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An alternative analysis technique, which does not require eigensolutions as a priori, for the dynamic response solutions, in terms of the transfer function, of one-dimensional distributed parameter systems with arbitrary supporting conditions, is presented. The technique is based on the fact that the dynamic displacement of any point in a waveguide can be determined by superimposing the amplitudes of the wave components traveling along the waveguide, where the wave numbers of the constituent waves are defined in the Laplace domain instead of the frequency domain. The spatial amplitude variations of individual waves are represented by the field transfer matrix and the distortions of the wave amplitudes at point discontinuities due to constraints or boundaries are described by the wave reflection and transmission matrices. Combining these matrices in a progressive manner along the waveguide using the concepts of generalized wave reflection and transmission matrices leads to the exact transfer function of a complex distributedparameter system subjected to an externally applied force. The transient response solution can be obtained through the Laplace inversion using the fixed Talbot method. The exact frequency response solution, which includes infinite normal modes of the system, can be obtained in terms of the complex frequency response function from the system's transfer function. This wave-based analysis technique is applicable to any one-dimensional viscoelastic structure (strings, axial rods, torsional bar and beams), in particular systems with multiple point discontinuities such as viscoelastic supports, attached mass, and geometric/material property changes. In this paper, the proposed approach is applied to the flexural vibration analysis of a classical Euler-Bernoulli beam with multiple spans to demonstrate its systematic and recursive formulation technique.
This paper describes the modeling of a soft actuator called an ionic polymer-metal composite (IPMC) by using distributed port-Hamiltonian (DPH) systems on multiple spatial scales. The multi-scale IPMC structure consis...
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This paper describes the modeling of a soft actuator called an ionic polymer-metal composite (IPMC) by using distributed port-Hamiltonian (DPH) systems on multiple spatial scales. The multi-scale IPMC structure consists of an electric double layer, an electro-stress diffusion coupling and a flexible beam. The coupling of the structure can be modeled by the DPH systems with unidirectional energy flows on connecting boundaries of the subsystems, and it is called a boundary multi-scale coupling. The boundary multi-scale couplings derived from detailed models can be used for multi-scale retaining interconnections of various reduced models, e.g. numerical models with approximations. (C) 2010 Elsevier Ltd. All rights reserved.
This paper proposes a new nonlinear detection observer for the detection of component faults and their subsequent accommodation for a class of nonlinear distributed processes. Specifically, the proposed results consti...
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This paper proposes a new nonlinear detection observer for the detection of component faults and their subsequent accommodation for a class of nonlinear distributed processes. Specifically, the proposed results constitute a significant extension to previous precursory work that utilized a linear observer for both detection and diagnosis of component faults for the same class of nonlinear distributed processes. An added feature of the proposed nonlinear observer under consideration is not simply the inclusion of nonlinear dynamics terms in the detection and diagnostic observers but the inclusion of such additional information in the expression for the dynamic residual threshold. The resulting improved version of a dynamic threshold contributes to the robustness of the detection scheme and minimizes the fault detection time. Two different dynamic threshold approaches are employed within the same nonlinear detection observer leading to improved detection time. A combination of the two thresholds is also considered to arrive at a detection observer that reaps the beneficial attributes of each of the thresholds, thus resulting in significant reduction of the fault detection time. Finally, an adaptive diagnostic observer is proposed that is subsequently utilized in an automated control reconfiguration scheme that accommodates the component faults. Copyright (C) 2011 John Wiley & Sons, Ltd.
In this article, we give some comments on the article 'Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems'. The article ...
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In this article, we give some comments on the article 'Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems'. The article gives an algorithm for the controllability analysis of the parabolic dynamical system defined in the n-D rectangular prism. The severe drawback of that algorithm is multiple nested, time-consuming loops which are necessary to perform. In the comments, we propose how to avoid performing sophisticated algorithms in that problem thanks to involving new advanced results of the number theory.
This paper deals with the design of an interval observer for plug flow reactors that are modeled by first-order hyperbolic partial differential equations. This model is considered to obtain the dynamics of an auxiliar...
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This paper deals with the design of an interval observer for plug flow reactors that are modeled by first-order hyperbolic partial differential equations. This model is considered to obtain the dynamics of an auxiliary variable that are further represented by a set of ordinary differential equations by means of the method of characteristics. Regarding these equations, the structure of the interval observer is deduced. This proposed estimation scheme is valid at a certain fixed specific axial point, is robust in the face of both uncertain parameters and load disturbances and is successfully implemented through simulations on an isothermal plug flow reactor within which a consecutive reaction is taking place and on a nonisothermal plug flow reactor with lateral feed where an irreversible reaction is carried out. (c) 2010 Elsevier Ltd. All rights reserved.
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