In this paper, the iterative learning control (ILC) problem is investigated for a class of time-invariant parabolic singular distributed parameter systems. Initially, the singular distributed parameter systems is deco...
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In this paper, the iterative learning control (ILC) problem is investigated for a class of time-invariant parabolic singular distributed parameter systems. Initially, the singular distributed parameter systems is decomposed into infinite number of singularsystems based on the separation principle. Meanwhile, the slow-fast subsystems are introduced via singular value decomposition method. Then, a novel mixed PD-type ILC algorithm with finite dimension is designed for the low dimensional slow part and the corresponding convergence conditions are manifested. With the proposed controller, the output error of high dimensional fast complement can satisfy the given value instead of neglecting the effect of high dimensional modes. Furthermore, under the aforesaid ILC law and the appropriate number of the low dimensional slow part, the resulting tracking error of parabolic singular distributed parameter systems can converge to any small tracking accuracy. Finally, simulation results on the distributed building automatic temperature system verify the convergence and effectiveness of the mixed PD-type ILC algorithm.
Necessary and sufficient conditions for the exact controllability and approximate controllability of a singulardistributedparameter system are *** general results are used to examine the exact controllability and ap...
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Necessary and sufficient conditions for the exact controllability and approximate controllability of a singulardistributedparameter system are *** general results are used to examine the exact controllability and approximate controllability of the Dzektser equation in the theory of seepage.
Necessary and sufficient conditions for the approximate controllability and approximate observability of a singulardistributedparameter system are obtained in the sense of distributional solution. These general resu...
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Necessary and sufficient conditions for the approximate controllability and approximate observability of a singulardistributedparameter system are obtained in the sense of distributional solution. These general results are used to examine the approximate controllability and approximate observability of the Dzektser equation in the Theory of Seepage.
In this paper the classical solution for the singular distributed parameter systems is discussed, we obtain the classical solution of the different system, it is important to the next study for the control of accuracy...
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ISBN:
(纸本)9783642293863
In this paper the classical solution for the singular distributed parameter systems is discussed, we obtain the classical solution of the different system, it is important to the next study for the control of accuracy of the singular distributed parameter systems.
In this paper, the iterative learning control (ILC) problem is investigated for the motion system of an open container with sloshing constraints in industrial fluid packaging. Initially, a broader class of second-orde...
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In this paper, the iterative learning control (ILC) problem is investigated for the motion system of an open container with sloshing constraints in industrial fluid packaging. Initially, a broader class of second-order in space and first-order in time linear time-invariant singulardistributedparameter system is decomposed by analyzing the motion system of an open container with sloshing constraints. Meanwhile, to eliminate the influence of singular terms on the system, a closed-loop D-type ILC algorithm is designed, and the corresponding convergence conditions are manifested. Then the convergence of the control algorithm is proved strictly. The resulting tracking error of systems can converge to any small tracking accuracy. Finally, a numerical example is given to verify the convergence and effectiveness of the closed-loop D-type ILC algorithm.
Concepts of the generalized left inverse, the generalized Fourier transform and the square root of matrix are defined in this the paper. Meanwhile, this paper deals with singular distributed parameter systems describe...
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Concepts of the generalized left inverse, the generalized Fourier transform and the square root of matrix are defined in this the paper. Meanwhile, this paper deals with singular distributed parameter systems described by coupled partial differential equations with singular matrix coefficients. As to the singular distributed parameter systems, the initial-value problem are considered on the basis of the generalized Fourier tranform theorem. The solution of the systems is obtained the method presented here the possibility of determining acceptable initial-value conditions.
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