The concept of asymptotic stability is studied for a class of dissipative semi-linear infinite-dimensional Banach state space systems with nonlinearity defined on a convex subset of the state space. Stability criteria...
详细信息
The concept of asymptotic stability is studied for a class of dissipative semi-linear infinite-dimensional Banach state space systems with nonlinearity defined on a convex subset of the state space. Stability criteria are established, which are based on a weaker technical condition of the m-dissipativity. These theoretical results are applied to a class of transport-reaction processes. Different types of nonlinearity are studied by adapting the criteria given in the early portions of the paper.
An iterative learning control problem for distributed parameter systems is *** a new iterative learning control algorithm is proposed,which is different from the present algorithms and has the form of nonlinear. Furth...
详细信息
An iterative learning control problem for distributed parameter systems is *** a new iterative learning control algorithm is proposed,which is different from the present algorithms and has the form of nonlinear. Furthermore,geometry explanation is given for the new algorithm in the paper.
We consider the problem of estimating the state of a distributedparameter System, using discrete-time measurements taken by a set of wireless sensors. A few problems have to be faced in this context: first, wireless ...
详细信息
We consider the problem of estimating the state of a distributedparameter System, using discrete-time measurements taken by a set of wireless sensors. A few problems have to be faced in this context: first, wireless communication channels are lossy, therefore the reconstructor of the state could not receive the measurements; furthermore, wireless sensors are powered the batteries, hence it is crucial to use them as little as possible, to preserve their lifetime. Finally, the communication channel usually has little bandwidth, so as little as possible sensors must be used at any time. We present a selection sensors policy that aims to cope with the above issues, and we show, by numerical simulations, that the filter using the proposed sensor querying policy is able to find the best sensor (or a close sub-optimal one) or the best scanning sequence with a little computational effort.
Optimal control problems are formulated and solved in which the manipulation is distributed over a three-dimensional (3D) spatial field with constraints on the spatial variation. These spatial field control problems t...
详细信息
ISBN:
(纸本)9781424445233
Optimal control problems are formulated and solved in which the manipulation is distributed over a three-dimensional (3D) spatial field with constraints on the spatial variation. These spatial field control problems that arise in applications in acoustics, structures, epidemiology, cancer treatment, and tissue engineering have much higher controllability than boundary control problems, but have vastly higher degrees of freedom. Efficient algorithms are developed for computing optimal manipulated fields by combination of modal analysis and least-squares optimization over a basis function space. Small minimum control error is observed in applications to distributed parameter systems with reaction, diffusion, and convection.
The controller design for distributed parameter systems is a challenging task. The simple early lumping approach allows the application of standard control theory tools but the designer has to keep in mind various neg...
详细信息
The controller design for distributed parameter systems is a challenging task. The simple early lumping approach allows the application of standard control theory tools but the designer has to keep in mind various negative aspects like aliasing, truncation and discretization errors. In this paper a new scheme to minimize these negative aspects in the controller design is presented which adopts a late lumping method by discretization. The scheme leads to the resulting problem formulation of a finite output feedback. The design of a heat conductor demonstrates the application of the new method.
In recent work the authors combined integralquadratic-constraint(IQC) based analysis with ν-gap metric based analysis to study the robustness of feedback interconnections of possibly unstable rational transfer functi...
详细信息
In recent work the authors combined integralquadratic-constraint(IQC) based analysis with ν-gap metric based analysis to study the robustness of feedback interconnections of possibly unstable rational transfer functions. This is extended here to the case of irrational transfer functions without pure delays. Specifically, we restrict attention to the sub-algebra of Callier-Desoer class transfer functions that have a limit at infinity.
In this paper, advanced engineering methods for modeling and discrete-time control of distributed parameter systems are presented. The dynamics of these systems is modeled by means of numerical structures defined on c...
详细信息
ISBN:
(纸本)9781424454402
In this paper, advanced engineering methods for modeling and discrete-time control of distributed parameter systems are presented. The dynamics of these systems is modeled by means of numerical structures defined on complex-shape 3D definition domains, similarly to a vast majority of engineering analysis and software simulation tools, which are heavily utilized among the engineering community for modeling and simulation of continuum mechanics systems. Inspired by a powerful capability of these numerical software packages along with the wide acceptance and utilization of Matlab/Simulink as a control systems design environment, the package distributed parameter systems blockset for Matlab & Simulink is used for modeling and simulation of a closed-loop feedback control system. In this paper, heating of a complex-shape 3D body is presented as a practical example of a methodology stated in the text. The techniques offered are completed by an user-friendly Web service tool, suitable for interactive solution of modeling and control problems of distributed parameter systems via Internet.
This paper examines the effects of position-dependent delays of mobile actuator/sensor pairs when employed for the control of spatially distributedsystems. It is assumed that a collocated pair moves freely within the...
详细信息
ISBN:
(纸本)9781424445233
This paper examines the effects of position-dependent delays of mobile actuator/sensor pairs when employed for the control of spatially distributedsystems. It is assumed that a collocated pair moves freely within the spatial domain in order to minimize the effects of a moving source. A time delay that depends on the distance of the actuator/sensor pair from the base station is incorporated into the guidance scheme and the supervisor has to manage conflicting objectives: that of stability robustness by keeping the moving agent close to the base station in order to minimize position-dependent delays, and of performance enhancement by commanding the mobile agent to the spatial region with the largest deviation from equilibrium, and inadvertently increasing the time delays. An algorithm that contains a time-delay management along with performance enhancement is proposed and extensive numerical studies that examine the delay effects on controller performance and agent trajectory are included.
In this paper, we investigate identification of a class of distributed parameter systems (DPS) with both spatially invariant and spatially varying parameters via deterministic learning. The plant is a parabolic type p...
详细信息
ISBN:
(纸本)9781424447060;9781424447077
In this paper, we investigate identification of a class of distributed parameter systems (DPS) with both spatially invariant and spatially varying parameters via deterministic learning. The plant is a parabolic type partial differential equation (PDE) describing the propagation of heat conduction in a one-dimensional circle. We firstly employ the discrete Fourier transform (DFT) and the Inverse discrete Fourier transform (IDFT) techniques to transform the infinite-dimensional DPS into a finite-dimensional nonlinear dynamical system described by a set of ordinary differential equations (ODE). Secondly, we present an identifiability condition by placing certain requirements on the input function, which guarantees that the heat conduction process is persistently excited. The properties of finite-dimensional nonlinear system dynamics, including the discrete symmetry and the partial dominance of system dynamics according to point-wise observations are analyzed. Finally, by using the deterministic learning algorithm, locally accurate NN approximations of the finite-dimensional nonlinear systems are achieved in local region along the recurrent system trajectory. The identification is achieved not for the spatially invariant and spatially varying parameters, but instead for for the dynamics of the DPS. Thus, a new method for locally accurate identification of the parabolic DPS describing the propagation of heat conduction process is presented.
This paper addresses a robust reference tracking control problem for nonlinear distributed parameter systems with external disturbances and measurement noises. An infinite-dimensional fuzzy state-space model is introd...
详细信息
This paper addresses a robust reference tracking control problem for nonlinear distributed parameter systems with external disturbances and measurement noises. An infinite-dimensional fuzzy state-space model is introduced to represent the nonlinear distributedparameter system. This fuzzy state-space model was separated into a finite-dimensional fuzzy state-space controlled subsystem with an infinite-dimensional fuzzy state-space residual subsystem. A finite-dimensional robust fuzzy observer-based reference tracking controller is proposed to control the nonlinear distributedparameter system to track a desired reference trajectory based on the finite-dimensional fuzzy state-space controlled subsystem. Finally, the criterion for the robust tracking control design is proven via the dissipative theory approach.
暂无评论