IEEJ Transactions on Electronics, Information and Systems
Online ISSN : 1348-8155
Print ISSN : 0385-4221
ISSN-L : 0385-4221
<Systems, Instrument, Control>
Discretization and Control of Rotating Pendulum under Lebesgue Sampling
Hiroshi OhsakiMasami IwaseShoshiro Hatakeyama
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2013 Volume 133 Issue 1 Pages 177-184

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Abstract

This study addresses a discretization method with Lebesgue sampling for a type of nonlinear system, and proposes a control method based on the discrete system model. A cart-pendulum system is used as this example. Applying this control method to some real system, how to implement the controller is a crucial problem. To overcome the problem, an impulsive Luenberger observer is introduced with a numerical forward mapping from the current system state to the one-step ahead state by well-known Runge-Kutta method. As the result, a cart-pendulum system with a rotary encoder, whose quantization interval is relatively large, can be controlled effectively. Numerical simulations are performed to verify the effectiveness of the proposed method.

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© 2013 by the Institute of Electrical Engineers of Japan
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