A novel 3-D fuzzy logic controller (3-D FLC) was presented to control a class of spatially distributed dynamic systems by Li et al. (IEEE Trans. Fuzzy Syst., vol. 15, no. 3, pp. 470-481, Jun. 2007) by utilizing a 3-D ...
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A novel 3-D fuzzy logic controller (3-D FLC) was presented to control a class of spatially distributed dynamic systems by Li et al. (IEEE Trans. Fuzzy Syst., vol. 15, no. 3, pp. 470-481, Jun. 2007) by utilizing a 3-D fuzzy set and an inference mechanism with 3-D nature for spatial information processing. In this paper, the analytical mathematical model of the 3-D FLC is derived, and the controller structure is explained with the help of the existing conventional control techniques. The graphic analytical method for the traditional two-term FLC can be used for the analytical model derivation. The derived result shows that the 3-D FLC has a global sliding-mode structure over the spatial domain and explains why the 3-D FLC is able to process spatial information more effectively than its traditional counterpart using a few more sensors. Because of its sliding-mode feature, the Lyapunov stability criterion can be developed easily to analyze and design the 3-D FLC. Finally, a catalytic reactor is presented as an example to demonstrate the effectiveness of the 3-D FLC as compared with other controllers.
The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. Thi...
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The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. We extensively used the fact that the knowledge of the inverse of a Jordan transition matrix enables us to directly verify the controllability by Chen's theorem. We used the explicit analytical form of the inverse Vandermonde matrix. This enabled us to obtain more general conditions for different types of controllability for infinite dimensional systems than the conditions existing in the literature so far. The methods introduced can be easily adapted to the analysis of other dynamic properties of the systems considered.
This note addresses observer design for a flexible robot arm with a tip load. The robot arm is modeled as an Euler-Bernoulli beam. The beam is clamped to a motor at one end and attached to a force actuator at the othe...
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This note addresses observer design for a flexible robot arm with a tip load. The robot arm is modeled as an Euler-Bernoulli beam. The beam is clamped to a motor at one end and attached to a force actuator at the other. Based on boundary measurements, an exponentially stable observer is proposed. The existence, uniqueness, and stability of solutions of the observer are proven using semigroup theory. The results are illustrated by simulation.
A simple design method of adaptive control for distributed parameter systems of hyperbolic type, is considered in the present manuscript. It is shown that the finite dimensional adaptive control schemes are constructe...
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ISBN:
(纸本)9784907764296
A simple design method of adaptive control for distributed parameter systems of hyperbolic type, is considered in the present manuscript. It is shown that the finite dimensional adaptive control schemes are constructed without complicated control structures and without time-derivative of output errors, and that semi-global stability of the control system is assured. High-gain observers are introduced to simplify the overall control structures, and nonlinear damping feedback schemes are employed so as to stabilize infinite dimensional modes.
Introducing the boundary control idea into predictive control of distributed parameter system based on wavelets transformation is a new idea to control of distributed parameter system. Discrete-time boundary predictiv...
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Introducing the boundary control idea into predictive control of distributed parameter system based on wavelets transformation is a new idea to control of distributed parameter system. Discrete-time boundary predictive control algorithm of second-order linear modulus- vary distributed parameter system based on orthogonal wavelets transformation is proposed in this paper. Second-order linear modulus-vary distributed parameter system in boundary control is approximated in Haar wavelets transformation. So the predictive control propositions of distributed parameter system has been transformed into the predictive control issue of lumped parametersystem. The boundary predictive controller is designed for the input returning to the boundary predictive control rule of the original system. Simulation studies of the proposed algorithm, as well as the system robustness under uncertainty such as the parameters perturbations, and a disturb occurring to the system output are showed. The results have verified the control effectiveness of the proposed algorithm.
The combination of flatness-based feedforward control and backstepping state feedback control is considered for the solution of a tracking control problem for a boundary controlled diffusion-convection-reaction system...
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The combination of flatness-based feedforward control and backstepping state feedback control is considered for the solution of a tracking control problem for a boundary controlled diffusion-convection-reaction system with cubic nonlinearity. The control task thereby concerns the realization of a finite-time transition from an initial operating profile to a final operating profile along a desired output trajectory. Besides the theoretical analysis, the tracking performance of the closed-loop distributed-parametersystem is evaluated in simulation studies, which confirm the applicability of the proposed approach.
This study focuses on the implementation of a nonlinear model predictive control (MPC) algorithm for controlling an industrial fixed-bed reactor where hydrogenations of raw pyrolysis gasoline occur. An orthogonal coll...
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This study focuses on the implementation of a nonlinear model predictive control (MPC) algorithm for controlling an industrial fixed-bed reactor where hydrogenations of raw pyrolysis gasoline occur. An orthogonal collocation method is employed to approximate the original reactor model consisting of a set of partial differential equations. The approximate model obtained is used in the synthesis of a MPC controller to control the temperature rising across a catalyst bed within the reactor. In the MPC algorithm, a sequential optimization approach is used to solve an open-loop optimal control problem. Feedback information is incorporated in the MPC to compensate for modeling error and unmeasured disturbances. The control studies are demonstrated in cases of set point tracking and disturbance rejection. (C) 2007 The Korean Society of Industrial and Engineering Chemistry. Published by Elsevier B.V. All rights reserved.
For (coupled systems of) partial differential equations for which nullcontrol is possible in arbitrarily short time, the 'standard' blowup rate for the control cost is exponential in 1/T. It is shown how to de...
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For (coupled systems of) partial differential equations for which nullcontrol is possible in arbitrarily short time, the 'standard' blowup rate for the control cost is exponential in 1/T. It is shown how to derive this rate for a variety of systems, including the thermoelastic system with control restricted to a small patch in the domain and to a single component (thermal, displacement, or velocity). (c) 2007 Elsevier Inc. All rights reserved.
A novel three-dimensional fuzzy logic controller (3-D FLC) is presented for controlling the spatio-temporal systems, with the help of three-dimensional (3-D) fuzzy sets and inference logic. The analytical model of the...
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ISBN:
(纸本)9781424423835
A novel three-dimensional fuzzy logic controller (3-D FLC) is presented for controlling the spatio-temporal systems, with the help of three-dimensional (3-D) fuzzy sets and inference logic. The analytical model of the 3-D FLC is derived to disclose its working principle and guide the control design. The derived model show that the 3-D FIX has a global sliding mode structure over the spatial domain, which explains why the 3-D FLC is able to process spatial information more effectively with a few more sensors. Based on its sliding mode feature, the 3-D fuzzy logic control system can be analyzed and designed in the sense of Lyapunov stability. Finally, a catalytic reactor is presented as an example to validate the effectiveness of 3-D FLC.
The distributed parameter system modeling from the input and output data is investigated. The spatio-temporal output of the system is measured at a finite number of spatial locations, while the input is assumed to be ...
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ISBN:
(纸本)9781424421138
The distributed parameter system modeling from the input and output data is investigated. The spatio-temporal output of the system is measured at a finite number of spatial locations, while the input is assumed to be a finite-dimensional temporal variable. Firstly, Karhunen-Loeve (KL) decomposition is used for the time/space separation and the dimension reduction. Subsequently the spatio-temporal output is expanded in terms of a low dimensional Karhunen-Loeve spatial basis functions. Finally its temporal dynamic model is learned from the temporal coefficients by using least squares support vector machines (LS-SVM). The simulations are presented to show the effectiveness of this spatio-temporal modeling method.
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