From Nonlinear Systems to Port Controlled Hamiltonian Systems

نویسندگان

  • Daizhan Cheng
  • Romeo Ortega
  • Elena Panteley
چکیده

This paper gives necessary and sufficient conditions under which an affine nonlinear system is feedback equivalent to a port controlled Hamiltonian system. In particular, we identify the minimum number of linear partial differential equations that need to be solved to achieve this transformation. Copyright c ©2005 IFAC.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Port-controlled Hamiltonian systems: towards a theory for control and design of nonlinear physical systems

It is shown how network modeling of lumped-parameter physical systems naturally leads to a geometrically defined class of systems, called port-controlled Hamiltonian systems with dissipation. The structural properties of these systems are discussed, in particular the existence of Casimir functions and their implications for stability. It is shown how a power-conserving interconnection of port-c...

متن کامل

Series Connected DC Motor Tracking Using Port Controlled Hamiltonian Systems Equivalence

Series connected DC motor is a common nonlinear device mostly used in rated values since its nonlinear modeling makes difficult the efficient velocity control. Local and approximate controllers have been previously applied. In this paper a global nonlinear controller is proposed based on port controlled Hamiltonian systems equivalence, i.e. a suitably defined feedback controller results the ove...

متن کامل

On Interconnections of Infinite-dimensional Port-Hamiltonian Systems

Network modeling of complex physical systems leads to a class of nonlinear systems called port-Hamiltonian systems, which are defined with respect to a Dirac structure (a geometric structure which formalizes the power-conserving interconnection structure of the system). A power conserving interconnection of Dirac structures is again a Dirac structure. In this paper we study interconnection prop...

متن کامل

Synthesis and Analysis of Nonlinear Control Systems Based on Transformations and Factorizations

Many real-world systems are inherently nonlinear by nature, hence it is of great benefit to develop control techniques for general nonlinear systems. In this thesis, we will investigate two specific questions in the nonlinear context: synthesis and analysis of nonlinear control systems. For the task of synthesis, we shall mainly consider systems which can be modeled by physical laws. For this t...

متن کامل

On Nonlinear Rlc Networks: Port-controlled Hamiltonian Systems Dualize the Brayton-moser Equations

In this paper it is shown that the recently proposed port-controlled Hamiltonian systems with dissipation precisely dualize the classical Brayton-Moser equations. As a consequence, useful and important properties of the one framework can be translated to the other. For both frameworks a novel method is proposed to deal with networks containing capacitor-only loops or inductor-only cutsets using...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005