Matching, linear systems, and the ball and beam
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Publication:1858355
DOI10.1016/S0005-1098(02)00145-0zbMath1018.93014arXivmath/0006121OpenAlexW2052929349MaRDI QIDQ1858355
Publication date: 13 February 2003
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0006121
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Application models in control theory (93C95) Design techniques (robust design, computer-aided design, etc.) (93B51)
Related Items (8)
A ball and beam tracking and balance control using magnetic suspension actuators ⋮ Smooth higher-order sliding mode control of a class of underactuated mechanical systems ⋮ Stabilization of the ball on the beam system by means of the inverse Lyapunov approach ⋮ Full and reduced-order unknown input observer design for linear time-delay systems with multiple delays ⋮ Modeling of the Ball and Beam system dynamics as a nonlinear mechatronic system with geometric constraint ⋮ Asymptotic stabilisation of the ball and beam system: design of energy-based control law and experimental results ⋮ The Lyapunov direct method for the stabilisation of the ball on the actuated beam ⋮ Matching, linear systems, and the ball and beam
Cites Work
- On the similarity transformation between a matrix and its transpose
- Matching, linear systems, and the ball and beam
- Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem
- The matching conditions of controlled Lagrangians and IDA-passivity based control
- Matrix Analysis
- On the $\lambda$-Equations for Matching Control Laws
- Control of nonlinear underactuated systems
- Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping
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