Pseudo‐energy shaping for the stabilization of a class of second‐order systems
DOI10.1002/rnc.1803zbMath1255.93113OpenAlexW1531569163MaRDI QIDQ4902194
Publication date: 25 January 2013
Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/rnc.1803
stabilizationmechanical systemssecond-order systemLyapunov direct methodenergy shapingenergy-like Lyapunov functioncontrolled Lagrangian methoddegree of under-actuationpseudo-energy shaping methodthree-link robot arm systemtwo-dimensional overhead crane system
Stabilization of systems by feedback (93D15) Design techniques (robust design, computer-aided design, etc.) (93B51) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
- Dynamic extension is unnecessary for stabilization via interconnection and damping assignment passivity-based control
- Analysis and control of nonlinear systems. A flatness-based approach
- Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
- Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem
- The Method of Controlled Lagrangians: Energy plus Force Shaping
- Stable Synchronization of Mechanical System Networks
- The Lyapunov direct method for the stabilisation of the ball on the actuated beam
- Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping
- Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment
- Interconnection and damping assignment passivity-based control of mechanical systems with underactuation degree one