摘要 :
A method to control general slowly varying nonlinear systems based on reinforcement learning is proposed. Based on the Q-leaning algorithm a model-free control signal is designed. However, this control signal is numerical and also...
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A method to control general slowly varying nonlinear systems based on reinforcement learning is proposed. Based on the Q-leaning algorithm a model-free control signal is designed. However, this control signal is numerical and also not smooth enough. Thus a polynomial is fitted to the control signal obtained by Q-learning algorithm. A larger degree of polynomial leads to smaller fitting error. By this procedure, we have a smooth control signal which is easy to implement, moreover, the control signal is in a closed form and is not numerical any longer. This permits deep, elegant and powerful mathematical analysis of the nonlinear system and many properties of the system such as stability, controllability, chaos, limit cycles can be studied. The efficiency of the proposed technique is proved by using it in an example.
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摘要 :
A method to control general slowly varying nonlinear systems based on reinforcement learning is proposed. Based on the Q-leaning algorithm a model-free control signal is designed. However, this control signal is numerical and also...
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A method to control general slowly varying nonlinear systems based on reinforcement learning is proposed. Based on the Q-leaning algorithm a model-free control signal is designed. However, this control signal is numerical and also not smooth enough. Thus a polynomial is fitted to the control signal obtained by Q-learning algorithm. A larger degree of polynomial leads to smaller fitting error. By this procedure, we have a smooth control signal which is easy to implement, moreover, the control signal is in a closed form and is not numerical any longer. This permits deep, elegant and powerful mathematical analysis of the nonlinear system and many properties of the system such as stability, controllability, chaos, limit cycles can be studied. The efficiency of the proposed technique is proved by using it in an example.
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Single-input-single-output finite-wordlength systems with rounding quantization are considered. A time-varying two-dimensional first-order structure which is free from row and column limit cycles is presented. A test to check for ...
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Single-input-single-output finite-wordlength systems with rounding quantization are considered. A time-varying two-dimensional first-order structure which is free from row and column limit cycles is presented. A test to check for limit cycles with other periods is given.
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Over current protection by sensing the top switch current with the peak current limiting or the bottom switch current with the valley current limiting in a buck converter is analyzed and the analysis is extended to other topologie...
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Over current protection by sensing the top switch current with the peak current limiting or the bottom switch current with the valley current limiting in a buck converter is analyzed and the analysis is extended to other topologies. It is investigated that the auto soft restart "hiccup" current limiting may never be tripped while the cyclc-by-cycle current limiting is employed as lower current limiting threshold, and that with the valley current limiting the over current level is uncertain depending upon circuit parameters and operating conditions. Finally, experimental data were collected and presented to confirm the analysis.
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摘要 :
Over current protection by sensing the top switch current with the peak current limiting or the bottom switch current with the valley current limiting in a buck converter is analyzed and the analysis is extended to other topologie...
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Over current protection by sensing the top switch current with the peak current limiting or the bottom switch current with the valley current limiting in a buck converter is analyzed and the analysis is extended to other topologies. It is investigated that the auto soft restart "hiccup" current limiting may never be tripped while the cyclc-by-cycle current limiting is employed as lower current limiting threshold, and that with the valley current limiting the over current level is uncertain depending upon circuit parameters and operating conditions. Finally, experimental data were collected and presented to confirm the analysis.
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摘要 :
The author proposes a modification of the neural network model of B. Baird (1988,1989) in which the constraint of symmetrical interaction between the modes representing the patterns stored is eliminated. This makes it possible to ...
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The author proposes a modification of the neural network model of B. Baird (1988,1989) in which the constraint of symmetrical interaction between the modes representing the patterns stored is eliminated. This makes it possible to construct the system with the ordered transitions between the patterns which were the stable attractors in the original model. Although in this case there is no strict evidence that the system does not have the chaotic behavior, a qualitative investigation and extensive numerical simulations show that the dynamics of the system can be described quite simply in terms of effective excitation wandering through the closed loop. Such motion implies the consequent activation of the static or periodic patterns stored in the network. Thus, it is shown that the model can exhibit more complex, but still programmable, behavior than was originally assumed by B. Baird.
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The control of flocking motion must be effective to avoid the various obstacles, and maintain the formation to the target point. A decentralized control method is used to control intelligent groups distributed. The topology model ...
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The control of flocking motion must be effective to avoid the various obstacles, and maintain the formation to the target point. A decentralized control method is used to control intelligent groups distributed. The topology model of dynamic network of intelligent groups has been combined with artificial potential field. The control algorithm for obstacle avoidance has been improved. Limit-cycle method for flocking motion with obstacle avoidance in global unknown environment is studied. The limitations of the shape of the obstacle have been overcome. And the limit-cycle method makes the swarm avoid obstacles smoothly.
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In this paper, the rate limiter describing function is used to analyze by harmonic balance the existence of limit cycles in first order plants. Next, by comparison with analytical results previously obtained by the authors, the ac...
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In this paper, the rate limiter describing function is used to analyze by harmonic balance the existence of limit cycles in first order plants. Next, by comparison with analytical results previously obtained by the authors, the accuracy of the above approximate predictions is assessed. The main conclusion is that from a qualitative point of view the harmonic balance is good enough, providing in a exact way the critical value of the bifurcation parameter, and leading to neither spurious predictions of limit cycles nor failures in their detection. Regarding the quantitative aspects, the accuracy of the method depends on certain dimensionless parameter which is intrinsic to the problem.
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摘要 :
In this paper, the rate limiter describing function is used to analyze by harmonic balance the existence of limit cycles in first order plants. Next, by comparison with analytical results previously obtained by the authors, the ac...
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In this paper, the rate limiter describing function is used to analyze by harmonic balance the existence of limit cycles in first order plants. Next, by comparison with analytical results previously obtained by the authors, the accuracy of the above approximate predictions is assessed. The main conclusion is that from a qualitative point of view the harmonic balance is good enough, providing in a exact way the critical value of the bifurcation parameter, and leading to neither spurious predictions of limit cycles nor failures in their detection. Regarding the quantitative aspects, the accuracy of the method depends on certain dimensionless parameter which is intrinsic to the problem.
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BWR stability analysis is a challenge for the nuclear reactor dynamic in-depth analysis. In order to understand the solution manifold of the differential equations describing the stability behavior of a BWR loop in more details we...
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BWR stability analysis is a challenge for the nuclear reactor dynamic in-depth analysis. In order to understand the solution manifold of the differential equations describing the stability behavior of a BWR loop in more details we apply coupled codes (nonlinear system codes) and an advanced physical based Reduced Order Model (P-ROM) coupled with a bifurcation code complementary (RAM-ROM approach). In the framework of these investigations we could interpret some system code results in more physical terms. Particular nonlinear solution types with operational safety relevance are stable and unstable limit cycles because in these cases 2-3 stability states coexist and small amplitude oscillations and large amplitude oscillations could occur spontaneously under a control parameter variation. In the paper we demonstrate two (partly) novel local bifurcation analyses results predicting the existence of large amplitude limit cycles. Because of the operational safety relevance of these oscillations and our experience that system code algorithms sometimes predict not the proper oscillation amplitude we recommend to start the BWR stability analysis with a procedure which is suitable to clarify the (possibly complex) stability landscape by local bifurcation analysis and plan on the basis of this knowledge the coupled code runs.
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