2016
DOI: 10.1016/j.automatica.2016.05.028
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A constructive procedure for energy shaping of port—Hamiltonian systems

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Cited by 32 publications
(36 citation statements)
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“…Actually it is possible to show that this condition can be transferred to the control u. 5 Now, since u defined in (2) contains an additive term that is PE, the condition that u is PE will almost always be satisfied.…”
Section: R11mentioning
confidence: 99%
See 2 more Smart Citations
“…Actually it is possible to show that this condition can be transferred to the control u. 5 Now, since u defined in (2) contains an additive term that is PE, the condition that u is PE will almost always be satisfied.…”
Section: R11mentioning
confidence: 99%
“…where γ > 0 is a tuning gain, S is given in (5), Y in (18), and D d , Z 2d are defined in (16) and (14), respectively, with d = ε. Then,…”
Section: Drem-based Virtual Output Estimatormentioning
confidence: 99%
See 1 more Smart Citation
“…Nevertheless, both approaches result in a more elaborated controller design and in a relatively large number of parameters. Recently, an alternative energy-shaping design that obviates the solution of PDE while maintaining a more intuitive structure akin to a PID was proposed in [22][23][24] and applied to a flexible inverted-pendulum in [25], although external disturbances were disregarded for simplicity. While recent works proposed robustness enhancement strategies for energy-shaping control [26][27][28], most research has been focusing on matched disturbances (i.e.…”
Section: Introductionmentioning
confidence: 99%
“…In the context of energy shaping, the difficulty in solving PDE's is obviated by relaxing the structure preserving constraint and the energy shaping is obtained by using passive outputs of the system Gogte et al (2012); Satpute et al (2014); Donaire et al (2016a). Recently, a similar idea is pursued for systems in port-Hamiltonian form Borja et al (2016). Here, we relax the structure preserving constraint and present a procedure of finding P d using the power balancing outputs of the system.…”
Section: Brayton-moser Formmentioning
confidence: 99%