Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature

Lyapunov-Krasovskii stability condition for system with bounded delay - An application to steer-by-wire system

This work presents a study on the stabilization of a class of linear systems with bounded delays in the control input and system states. A methodology for the stabilization expressed in linear matrix inequalities (LMIs), where it is shown that the proposed stabilization theorem is able to maintain the system stability under some bounded time delay. LMI approach is the most popular due to it can be formulated into a convex optimization problem. Finally, the technique is applied to the steer-by-wire problem as a test bed, showing how it is possible to derive efficient controllers for realistic problems, using the proposed technique