Output stabilization of time-varying input delay systems using interval observation technique

Output stabilization of time-varying input delay systems using interval observation technique

The output stabilization problem for a linear system with an unknown bounded time-varying input delay is considered. The interval observation technique is applied in order to obtain guaranteed interval estimate of the system state. The procedure of the interval observer synthesis uses lower and upper estimates of the unknown delay and requires to solve a special Silvester’s equation. The interv...

Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

Robust output feedback stabilization for discrete-time systems with time-varying input delay

Static Output-Feedback Simultaneous Stabilization of Interval Time-Delay Systems

This paper addresses the problem of simultaneous static output-feedback stabilization of a collection of interval time-delay systems. It is shown that this problem can be converted into a matrix measure assignment problem. Sufficient conditions for guaranteeing the robust stability for considered systems are derived in term of the matrix measures of the system matrices. By using matrix inequali...

Adaptive Output Feedback Stabilization Using Mt-filters for Nonlinear Systems with Input and Output Time-delay

This paper investigates the problem of adaptive output feedback stabilization using MT-filters and the backstepping design method for a class of nonlinear systems with unknown input and output time-delay. It is shown that all the signals in the closed-loop system are globally uniformly bounded, and the output can be regulated to zero.