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Stability Analysis of a Neurocontroller with Kalman Estimator for the Inverted Pendulum Case

Stability Analysis of a Neurocontroller with Kalman Estimator for the Inverted Pendulum Case
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摘要 In this paper, a practical analysis of stability by simulation for the effect of incorporating a Kalman estimator in the control loop of the inverted pendulum with a neurocontroller is presented. The neurocontroller is calculated by approximate optimal control, without considering the Kalman estimator in the loop following the Theorem of the separation. The results are compared with a time-varying linear controller, which in noiseless conditions in the state or in the measurement has an acceptable performance, but when it is under noise conditions its operation closes into a state space range more limited than the one proposed here. In this paper, a practical analysis of stability by simulation for the effect of incorporating a Kalman estimator in the control loop of the inverted pendulum with a neurocontroller is presented. The neurocontroller is calculated by approximate optimal control, without considering the Kalman estimator in the loop following the Theorem of the separation. The results are compared with a time-varying linear controller, which in noiseless conditions in the state or in the measurement has an acceptable performance, but when it is under noise conditions its operation closes into a state space range more limited than the one proposed here.
出处 《Applied Mathematics》 2017年第11期1602-1618,共17页 应用数学(英文)
关键词 OPTIMAL Control Neurocontroller INVERTED PENDULUM STATE Estimation Stability Optimal Control Neurocontroller Inverted Pendulum State Estimation Stability
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