Furuta's pendulum: a conservative nonlinear model for theory and practise.
Acosta, J.Á. (2010)
Mathematical Problems in Engineering
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Acosta, J.Á. (2010)
Mathematical Problems in Engineering
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Fei, Juntao, Fang, Yunmei, Yan, Chunyan (2010)
Mathematical Problems in Engineering
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Muhammad Idrees, Shah Muhammad, Saif Ullah (2019)
Kybernetika
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The rotary inverted pendulum (RIP) system is one of the fundamental, nonlinear, unstable and interesting benchmark systems in the field of control theory. In this paper, two nonlinear control strategies, namely hierarchical sliding mode control (HSMC) and decoupled sliding mode control (DSMC), are discussed to address the stabilization problem of the RIP system. We introduced HSMC with state-dependent switching gain for stabilization of the RIP system. Numerical simulations are performed...
Zribi, Mohamed, Alrifai, Muthana T. (2005)
Mathematical Problems in Engineering
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Al-Muthairi, N.F., Zribi, M. (2004)
Mathematical Problems in Engineering
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Aguilar-Ibáñez, Carlos Fernando, Gutiérrez-Frías, Oscar Octavio, Martínez-García, Juan Carlos, Garrido-Moctezuma, Rubén, Gómez-González, Bernardo (2010)
Mathematical Problems in Engineering
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Shi, Peng, Shue, Shyh-Pyng, Shi, Yan, Agarwal, Ramesh K. (1999)
Mathematical Problems in Engineering
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Przemysław Gorczyca, Krystyn Hajduk (2004)
International Journal of Applied Mathematics and Computer Science
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The tracking control problem of a strongly nonlinear MIMO system is presented. The system shares some features with a helicopter, such as important interactions between the vertical and horizontal motions. The dedicated IO board allows for control, measurements and communication with a PC. The RTWT toolbox in the MATLAB environment is used to perform real-time experiments. The control task is to track a predefined reference trajectory. A mathematical model of the system, containing experimental...
George Leitmann (1996)
Kybernetika
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María del Carmen Rodríguez-Liñán, Marco Mendoza, Isela Bonilla, César A. Chávez-Olivares (2017)
International Journal of Applied Mathematics and Computer Science
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A saturating stiffness control scheme for robot manipulators with bounded torque inputs is proposed. The control law is assumed to be a PD-type controller, and the corresponding Lyapunov stability analysis of the closed-loop equilibrium point is presented. The interaction between the robot manipulator and the environment is modeled as spring-like contact forces. The proper behavior of the closed-loop system is validated using a three degree-of-freedom robotic arm.
Emmanuel Delaleau, Jean-Paul Louis, Romeo Ortega (2001)
International Journal of Applied Mathematics and Computer Science
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This paper is devoted to the modeling and control of the induction motor. The well-established field oriented control is recalled and two recent control strategies are exposed, namely the passivity-based control and the flatness-based control.