Control using new passivity property with differentiation at both ports

Krishna Chaitanya Kosaraju, Ramkrishna Pasumarthy, N. M. Singh, Alexander L. Fradkov

Research output

12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publication2017 Indian Control Conference, ICC 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7-11
Number of pages5
ISBN (Electronic)9781509017959
DOIs
Publication statusPublished - 7 Feb 2017
Event3rd Indian Control Conference, ICC 2017 - Guwahati
Duration: 4 Jan 20176 Jan 2017

Conference

Conference3rd Indian Control Conference, ICC 2017
CountryIndia
CityGuwahati
Period4/01/176/01/17

Scopus subject areas

  • Applied Mathematics
  • Control and Optimization

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    Kosaraju, K. C., Pasumarthy, R., Singh, N. M., & Fradkov, A. L. (2017). Control using new passivity property with differentiation at both ports. In 2017 Indian Control Conference, ICC 2017 - Proceedings (pp. 7-11). [7846443] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INDIANCC.2017.7846443