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- W1531569163 abstract "A Lyapunov direct method is presented for a class of second-order systems that includes mechanical systems. This method shall be called a pseudo-energy shaping method because it reduces to the energy shaping method when a given second-order system is a mechanical system. The pseudo-energy shaping method comprehends both the Lyapunov direct method for mechanical systems proposed by Aguilar-Ibañez and the controlled Lagrangian method that has been successfully applied to stabilize mechanical systems. A class of second-order systems including mechanical systems is defined first. For this class, matching conditions are derived for the construction of an energy-like Lyapunov function that shall be called a pseudo-energy function. Easily verifiable conditions are then presented for stabilizability by the pseudo-energy shaping method for a class of second-order linear systems and for a class of second-order nonlinear systems with one degree of under-actuation. These results are applied to stabilize a two-dimensional overhead crane system and a three-link robot arm system. Copyright © 2011 John Wiley & Sons, Ltd." @default.
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- W1531569163 date "2011-09-13" @default.
- W1531569163 modified "2023-09-24" @default.
- W1531569163 title "Pseudo-energy shaping for the stabilization of a class of second-order systems" @default.
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- W1531569163 doi "https://doi.org/10.1002/rnc.1803" @default.
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