Control of port Hamiltonian systems by dissipative devices and its application to improve the semi-a
Robot Control, Volume # 8 | Part# 1
Authors
Riccardo Morselli; Roberto Zanasi
Identifier
10.3182/20060906-3-IT-2910.00092
Index Terms
nonlinear control,automotive control,semi-active suspension
Abstract
The port Hamiltonian framework is a powerful tool for modeling a wide class of nonlinear systems such as robots and, more generally, mechatronic systems. A wide variety of mechatronic systems are controlled by operating dissipative components and the standard approaches for the control of port Hamiltonian systems are not applicable. Facing the limitation that the controlled devices can only dissipate power, the issue is to find a proper control law to satisfy the control requirements. This paper proposes to choose the control inputs to lead the input power of a subsystem in oder to satisfy the requirements by controlling the energy stored or the power dissipated in that subsystem. A slight extension of the definition of port Hamiltonian system is proposed to allow the description of a larger set of mechatronic systems. Although some important issues remain open, the example of the semi-active suspension shows that some positive results can be achieved by applying the proposed approach.
References
[1] Escobar G., van der Schaft A.J., Ortega R. (1999).
A Hamiltonian Viewpoint in the Modelling
of Switching Power Converters, Automatica,
Vol. 35, pp: 445-452.
[2] Garcia-Canseco E., Pasumarthy R., van der
Schaft A.J., Ortega R. (2005). On control
by interconnection of port Hamiltonian systems
, proceedings of the 16th IFAC World
Congress, Prague, Czech Republic.
[3] Ortega R., van der Schaft A.J., Maschke B.M., Escobar
G. (2002). Interconnection and damping
assigment passivity-based control of portcontrolled
Hamiltonian systems, Automatica,
Vol. 38, p: 585-596.
[4] Perez M., Ortega R., Espinoza J., (2004).
Passivity-Based PI Control of Switched
Power Converters, IEEE Transactions on
Control Systems Technology, Vol. 12, Issue 6.
[5] Savaresi S.M., Silani E., Bittanti S., Porciani N.
(2003). On performance evaluation methods
and control strategies for semi-active suspension
systems, Proceedings 42nd IEEE Conference
on Decision and Control. Vol. 3.
[6] Savaresi S.M., Silani E., Bittanti S. (2004) Semiactive
Suspensions: an Optimal Control Strategy
for a Quarter-car Model, Proc. of the
IFAC Symposium on Advances in Automotive
Control, Salerno, Italy.
[7] van der Schaft A.J. (2000). L2 -gain and passivity
techniques in nonlinear control, Springer-Verlag,
London.
