TY - GEN

T1 - Control using new passivity property with differentiation at both ports

AU - Kosaraju, Krishna Chaitanya

AU - Pasumarthy, Ramkrishna

AU - Singh, N. M.

AU - Fradkov, Alexander L.

PY - 2017

Y1 - 2017

N2 - Port Hamiltonian systems are usually passive with respect to port variables that are power conjugate (eg: voltage and current, force and velocity) and this lead to energy shaping control methods. But systems with 'dissipation obstacle' cannot be controlled using these port variables and therefore we need to search for alternative passive maps. One option is within the Brayton Moser framework, where passivity is obtained by differentiating one of the port variables. This has led to power shaping methods for control, but the solutions ( if exists) obtained impose constraints on the physical parameters of the system. In this paper, starting from the Brayton Moser framework we present a new passivity property with differentiation at both the port variables. Further using this new passive map, a PI like controller is proposed and presented using parallel RLC circuit and transmission line system with non zero boundary conditions as examples.

AB - Port Hamiltonian systems are usually passive with respect to port variables that are power conjugate (eg: voltage and current, force and velocity) and this lead to energy shaping control methods. But systems with 'dissipation obstacle' cannot be controlled using these port variables and therefore we need to search for alternative passive maps. One option is within the Brayton Moser framework, where passivity is obtained by differentiating one of the port variables. This has led to power shaping methods for control, but the solutions ( if exists) obtained impose constraints on the physical parameters of the system. In this paper, starting from the Brayton Moser framework we present a new passivity property with differentiation at both the port variables. Further using this new passive map, a PI like controller is proposed and presented using parallel RLC circuit and transmission line system with non zero boundary conditions as examples.

KW - NONLINEAR RLC CIRCUITS

KW - SYSTEMS

UR - http://www.scopus.com/inward/record.url?scp=85015736709&partnerID=8YFLogxK

U2 - 10.1109/INDIANCC.2017.7846443

DO - 10.1109/INDIANCC.2017.7846443

M3 - статья в сборнике материалов конференции

AN - SCOPUS:85015736709

SP - 7

EP - 11

BT - 2017 Indian Control Conference, ICC 2017 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 4 January 2017 through 6 January 2017

ER -