Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String

一类无限维振动柔性结构的动态观测器

A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures

针对带输出的无限维 Hamiltonian 柔性振动系统，提出增益任意的动态观测器显式构造方法，证明收敛条件，并通过柔性梁模型仿真验证误差衰减。

Reduced order in domain control of distributed parameter port-Hamiltonian systems via energy shaping

An in-domain finite dimensional controller for a class of distributed parameter systems on a one-dimensional spatial domain formulated under the port-Hamiltonian framework is presented. Based on [25] where positive feedback and a late lumping approach are used, we extend the Control by Interconnection method and propose a new energy shaping methodology with an early lumping approach on the distributed spatial domain of the system. Our two main control objectives are to stabilize the closed loop system, as well as to improve the closed loop dynamic performances. With the early lumping approach,…

Energy-Based In-Domain Control and Observer Design for Infinite-Dimensional Port-Hamiltonian Systems

In this paper, we consider infinite-dimensional port-Hamiltonian systems with in-domain actuation by means of an approach based on Stokes-Dirac structures as well as in a framework that exploits an underlying jet-bundle structure. In both frameworks, a dynamic controller based on the energy-Casimir method is derived in order to stabilise certain equilibrias. Moreover, we propose distributed-parameter observers deduced by exploiting damping injection for the observer error. Finally, we compare the approaches by means of an in-domain actuated vibrating string and show the equivalence of the cont…

高阶无穷维 Port-Hamiltonian 系统的基于能量的控制与观测器设计

Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems

针对二阶Hamiltonian的无穷维边界驱动Port-Hamiltonian系统，提出基于energy-Casimir方法的控制设计，并设计无穷维观测器解决不可测状态依赖问题，以Kirchhoff-Love板验证方法有效性。

On Dirac structure of infinite-dimensional stochastic port-Hamiltonian systems

Stochastic infinite-dimensional port-Hamiltonian systems (SPHSs) with multiplicative Gaussian white noise are considered. In this article we extend the notion of Dirac structure for deterministic distributed parameter port-Hamiltonian systems to a stochastic ones by adding some additional stochastic ports. Using the Stratonovich formalism of the stochastic integral, the proposed extended interconnection of ports for SPHSs is proved to still form a Dirac structure. This constitutes our main contribution. We then deduce that the interconnection between (stochastic) Dirac structures is again a (s…