1-block H^|^infin; State Feedback Problem for Time Delay Systems

Static State and Output Feedback Synthesis for Time-Delay Systems

In this paper, the design of a static feedback gain for a linear system subject to an input delay is studied. This synthesis is based on a stability analysis conducted using Lyapunov-Krasovskii theorem and Bessel-Legendre inequalities expressed in terms of LMIs. Some bilinear non-convex matrix inequalities are obtained to go from analysis to synthesis. They are then difficult to solve and an it...

Functional observer and state feedback for input time-delay systems

Delay-scheduled state-feedback design for time-delay systems with time-varying delays - A LPV approach

This paper is concerned with the synthesis of delay-scheduled state-feedback controllers which stabilize linear systems with timevarying delays. In this framework, it is assumed that the delay is approximately known in real-time and used in the controller in a scheduling fashion. First, a new model transformation turning a time-delay system into an uncertain LPV system is introduced. Using this...

Delay-Scheduled State-Feedback Design for Time-Delay Systems with Time-Varying Delays

This paper is concerned in the synthesis of delay-scheduled state-feedback stabilizing linear systems with time-varying delay when the delay can be approximatively known in realtime. First we introduce a new model transformation turning the time-delay system into an uncertain LPV system. Using this reformulation we elaborate delay-dependent stability test based on the so-called full block S-pro...

Brockett problem for systems with feedback delay

The Brockett problem is posed for systems with feedback delay in the form: what kind of time-varying controllers should be used to obtain asymptotic stability? Stabilization of delayed systems is a challenging task in control theory, since these systems usually have infinitely many poles. In this paper, the act-and-wait control concept is investigated as a possible technique to reduce the numbe...