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The problem of robustly, asymptotically stabilizing a point (or a set) with two output-feedback hybrid controllers is considered. These control laws may have different objectives, e.g., the closed-loop systems resulting with each controller…

Systems and Control · Computer Science 2013-08-20 Ricardo G. Sanfelice , Christophe Prieur

Output-based controllers are known to be fragile with respect to model uncertainties. The standard $\mathcal{H}_{\infty}$-control theory provides a general approach to robust controller design based on the solution of the…

Optimization and Control · Mathematics 2022-04-22 Peter Benner , Jan Heiland , Steffen W. R. Werner

Control strategy for suppression of spiral-wave in a 2-D model of an excitable media is developed with application to the cardiac system. The controller which incorporates a finite number of actuators (electrodes) assures the establishment…

Optimization and Control · Mathematics 2014-10-03 Yelena Smagina , Moshe Sheintuch

In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General Navier Boundary Condition is developed based on the concept…

Numerical Analysis · Mathematics 2020-01-29 Lingyue Shen , Huaxiong Huang , Ping Lin , Zilong Song , Shixin Xu

In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a…

Analysis of PDEs · Mathematics 2015-02-03 Mamadou Diagne , Peipei Shang , Zhiqiang Wang

This article proposes the design of H-infinity-based robust current controller for single-phase grid-feeding voltage source inverter with an LCL filter. The main objective of the proposed controller is to have good reference tracking,…

Systems and Control · Electrical Eng. & Systems 2020-08-26 Soham Chakraborty , Sourav Patel , Murti V. Salapaka

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

Classical Physics · Physics 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

We study the behaviour of circular flexible loops sedimenting in a viscous fluid by numerical simulations and linear stability analysis. The numerical model involves a local slender-body theory approximation for the flow coupled to the…

Fluid Dynamics · Physics 2021-07-01 Radost Waszkiewicz , Piotr Szymczak , Maciej Lisicki

We consider a two-dimensional nonlinear waveguide with distributed gain and losses. The optical potential describing the system consists of an unperturbed complex potential depending only on one transverse coordinate, i.e., corresponding to…

The paper concerns a continuous model governed by a ODE system originated by a discrete duopoly model with bounded rationality, based on constant conjectural variation. The ultimately boundedness of the solutions (existence of an absorbing…

Dynamical Systems · Mathematics 2016-04-20 Isabella Torcicollo

This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience…

Dynamical Systems · Mathematics 2012-07-10 Shipei Huang , Zhengrong Xiang

In this paper, we prove the exponential stability property of a class of mechanical systems represented in the port-Hamiltonian framework. To this end, we propose a Lyapunov candidate function different from the Hamiltonian of the system.…

Systems and Control · Electrical Eng. & Systems 2021-10-25 Carmen Chan-Zheng , Pablo Borja , Nima Monshizadeh , Jacquelien M. A. Scherpen

We consider two-dimensional bosonic dipoles oriented perpendicularly to the plane. On top of the usual two-body contact and long-range dipolar interactions we add a contact three-body repulsion as expected, in particular, for dipoles in the…

Quantum Gases · Physics 2015-08-18 Zhen-Kai Lu , Yun Li , D. S. Petrov , G. V. Shlyapnikov

Two different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for stabilizing periodic orbits in deterministic…

chao-dyn · Physics 2009-10-30 Franz-Josef Elmer

Soft-reset controllers are introduced as a way to approximate hard-reset controllers. The focus is on implementing reset controllers that are (strictly) passive and on analyzing their interconnection with passive plants. A passive…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Justin H. Le , Andrew R. Teel

In this paper, we prove the null controllability of some parabolic-elliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman…

Optimization and Control · Mathematics 2012-04-16 E. Fernández-Cara , J. Limaco , S. B. de Menezes

This paper presents a method to control a manipulator system grasping a rigid-body payload so that the motion of the combined system in consequence of externally applied forces to be the same as another free-floating rigid-body (with…

Robotics · Computer Science 2022-09-20 Farhad Aghili

For linear-quadratic optimal control problems (OCPs) governed by elliptic and parabolic partial differential equations (PDEs), we investigate the impact of perturbations on optimal solutions. Local perturbations may occur, e.g., due to…

Optimization and Control · Mathematics 2024-10-08 Simone Göttlich , Manuel Schaller , Karl Worthmann

A desirable property in fault-tolerant controllers is adaptability to system changes as they evolve during systems operations. An adaptive controller does not require optimal control policies to be enumerated for possible faults. Instead it…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Ibrahim Ahmed , Hamed Khorasgani , Gautam Biswas

We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to the classical trade-off between convergence rate and…

Optimization and Control · Mathematics 2017-09-14 Jean Auriol , Jakob Ulf , Philippe Martin , Florent Meglio