A Switching Controller for a class of MIMO Bilinear Systems with Time-Delay

International audienceIn this paper we propose a state-dependent switching controller for MIMO bilinear systems with constant delays in both the state and the input. The control input is assumed to be restricted to take only a finite number of values. The stability analysis of the closed-loop is based on a Lyapunov-Krasovskii functional, and the design is reduced to solve a system of linear matrix inequalities. The controller can be designed by considering (state) delay-dependent or delay-independent conditions

Quantum coherent feedback control of an N-level atom with multiple excitations

The purpose of this paper is to study the coherent feedback control dynamics based on the network that an $N$-level atom is coupled with a cavity and the cavity is coupled with a single or multiple parallel waveguides through two semitransparent mirrors. When initially the atom is excited at the highest energy level, it can emit multiple photons into the cavity via the spontaneous emission, and the photons in the cavity can be transmitted into the waveguide and then re-interact with the cavity quantum electrodynamics (cavity-QED) system through the feedback channel. When the cavity is coupled with a single waveguide, the generation of multi-photon states in the waveguide can be characterized by the exponential stability of the linear control system with feedback delays determined by the feedback loop length. By tuning the feedback loop length, there can be zero or multiple photons in the waveguide. Besides, when the cavity-QED system is coupled with multiple parallel waveguides, the emitted photons oscillate among different waveguides and this process is influenced by the feedback loop length and coupling strengths among waveguides

Resilient Robust Finite-Time L

The delay-dependent resilient robust finite-time L2-L∞ control problem of uncertain neutral time-delayed system is studied. The disturbance input is assumed to be energy bounded and the time delays are time-varying. Based on the Lyapunov function approach and linear matrix inequalities (LMIs) techniques, a state feedback controller is designed to guarantee that the resulted closed-loop system is finite-time bounded for all uncertainties and to satisfy a given L2-L∞ constraint condition. Simulation results illustrate the validity of the proposed approach