Control Of Implicit Port Hamiltonian Systems With Implicit Definition Of The Energy

Universities and Institutes of France

France

July 22, 2022

Description

  • Organisation/Company: LAGEPP Lyon
  • Research Field: Engineering › Control engineering
  • Researcher Profile: First Stage Researcher (R1)
  • Application Deadline: 22/07/2022 21:00 - Europe/Athens
  • Location: France › Lyon
  • Type Of Contract: Temporary
  • Job Status: Full-time
  • Hours Per Week: 35
  • Offer Starting Date: 02/10/2022
  • The aim of this thesis is to develop a novel design of passivity-based control for nonlinear Port Hamiltonian Systems with implicit definition of the Hamiltonian function. The first objective is to characterize this class in terms of physical models, in particular the relation with the Port Hamiltonian formulation of mechanical systems with constraints, Thermodynamic systems defined on the Thermodynamic Phase Space. Furthermore its various coordinate representations will be detailed, the index of the constraints and the projection to an explicit representation will be investigated. Finally its system-theoretic properties such as passivity, cyclo-passivity, observabiliuty and controllability will be analyzed.

    The second objective is to develop and generalize the control design techniques such as the Control by Interconnection (CbI), Interconnection & Damping Assignment Passivity-Based Control (IDA-PBC) to these systems in order to shape in closed-loop their properties in terms of structure, dissipation and energy.

    The third objective is to consider the structure preserving, model order reduction techniques in the light of these Port Hamiltonian Systems with implicit definition of the Hamiltonian and consider singular perturbation techniques.

    Offer Requirements
  • REQUIRED EDUCATION LEVEL
  • Engineering: Master Degree or equivalent

  • REQUIRED LANGUAGES
  • ENGLISH: Good

    Skills/Qualifications

    The candidates should have a MSc in automatic control, control system theory or equivalent and be motivated by a research project Ph.D. in control system theory. Prior knowledge in (port-)Hamiltonian systems, nonlinear control and an experience in numerical method programming will be appreciated.

    Contact Information
  • Organisation/Company: LAGEPP Lyon
  • Organisation Type: Public Research Institution
  • Website: https: // lagepp.univ-lyon1.fr/en/home/
  • E-Mail: legorrec@femto-st.fr
  • Country: France
  • City: Villeurbanne
  • Postal Code: 69100
  • Street: Bvd du 11 Novembre 1918
  • Mobile Phone: (+33)607470826
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