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Tracking control of mechanical systems with impacts
In this paper controllers are designed such that the state trajectories of mechanical systems with impacts converge to a reference trajectory that contains impacts. The impact times of the plant will typically not coincide with those of the reference, such that the Euclidean tracking error intrinsically behaves in an unstable manner.
J. J. Benjamin Biemond +3 more
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Mechanical linearization of mechanical control systems without controllability assumption
Automatica, 2023In this paper, the authors investigate on mechanical linearization of mechanical control systems without controllability assumption. More precisely, they present a linearization procedure of mechanical control systems that preserves the mechanical structure of the system, i.e., the mechanical linearization.
Marcin Nowicki, Witold Respondek
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Control of Nonlinear Mechanical Systems
European Journal of Control, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isabelle Fantoni, Rogelio Lozano
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Mechanical Control Systems and Kinematic Systems
IEEE Transactions on Automatic Control, 2008The aim of this technical note is to analyze the equivalence between the second-order equations describing the dynamics of mechanical systems, and the associated kinematic system when dealing with nonholonomic systems with controls. If the system is fully actuated, both systems are equivalent.
Miguel C. Muñoz-Lecanda +1 more
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Equivariants of Mechanical Control Systems
SIAM Journal on Control and Optimization, 2013In this paper we find a complete set of equivariants of mechanical control systems that satisfy the geodesic accessibility property. These equivariants are structure functions on the configuration manifold and are used to completely characterize the mechanical state equivalence of two mechanical control systems.
Witold Respondek, Sandra Ricardo
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2021
Let ϕ and A be the scalar potential and the vector potential of the electric field E and of the magnetic flux density B, respectively; E = −∇ϕ, B = ∇×A.
Christian Brecher, Manfred Weck
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Let ϕ and A be the scalar potential and the vector potential of the electric field E and of the magnetic flux density B, respectively; E = −∇ϕ, B = ∇×A.
Christian Brecher, Manfred Weck
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Control System Design Automation for Mechanical Systems
Journal of Intelligent and Robotic Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiyoshi Maekawa, Grantham K. H. Pang
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Controlling mechanical systems with backlash—a survey
Automatica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mattias Nordin, Per Olof Gutman
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Configuration Controllability of Mechanical Systems Underactuated by One Control
SIAM Journal on Control and Optimization, 2003The paper contains a detailed study of local configuration controllability for mechanical control systems within the affine (or linear) connection formalism. An extension of some previous results of \textit{A. W. Lewis} [Rep. Math. Phys. 42, No. 1--2, 135--164 (1998; Zbl 0976.53015)] for single-input case yields an useful characterization of local ...
Jorge Cortés 0001, Sonia Martínez
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