Optimality of Passivity-Based Controls for Distributed Port-Hamiltonian Systems
نویسندگان
چکیده
This paper discusses the (inverse) optimality and practical usage of passivitybased controls for distributed port-Hamiltonian systems. We first clarify that passivity-based controls, damping assignment and potential shaping can be derived from a linear quadratic type optimal control problem. Next, we describe the limitation of passivity-based boundary controls and propose a practical usage of the methods in terms of discretization. Finally, we illustrate numerical results having a similar property to the strain feedback methods derived from semigroup theory for stabilizing and stiffness controlling flexible beams.
منابع مشابه
Stabilization of Time-varying Stochastic Port-Hamiltonian Systems Based on Stochastic Passivity
The authors have introduced stochastic port-Hamiltonian systems and have clarified some of their properties. Stochastic port-Hamiltonian systems are extension of deterministic port-Hamiltonian systems, which are used to express various deterministic passive systems. However, since only time-invariant case has been considered in our previous results, the aim of this paper is to extend them to ti...
متن کاملEffort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems
Port-based network modeling of (lumped-parameter) physical systems leads directly to their representation as port-Hamiltonian systems which are an important class of passive state-space systems. At the same time modeling of physical systems often leads to high-dimensional dy namical models. State-space dimensions are enormously high as well if distributed-parameter models are spatially discreti...
متن کاملTime-varying Stabilization of Hamiltonian Systems via Generalized Canonical Transformations
This paper focuses on the stabilization of port-controlled Hamiltonian systems employing possibly time-varying controllers. At first we refer to the generalized canonical transformation which preserves the structure of Hamiltonian systems and the passivity property that physical systems innately possess. Next we show a general stabilization strategy for port-controlled Hamiltonian systems based...
متن کاملPassivity based control of irreversible port Hamiltonian Systems
The frameworks of thermodynamic availability function and irreversible port Hamiltonian systems are used to derive passivity based control strategies for irreversible thermodynamic systems. An energy based availability function is defined using as generating function the internal energy. This is a variation with respect to previous works where the total entropy usually corresponds to the genera...
متن کاملGeneral Framework of Trajectory Tracking Control of Hamiltonian Systems via Generalized Canonical Transformations
This paper is devoted to trajectory tracking control of port-controlled Hamiltonian systems based on generalized canonical transformations. A general framework of tracking control utilizing the passivity property is proposed. Firstly, it is shown how to construct an error system, which describes the dynamics of the tracking error, by a passive port-controlled Hamiltonian system. Secondly, a pra...
متن کامل