Observability and observers for nonlinear systems with time delays 1

Observability and observers for nonlinear systems with time delays

In modern control theory, it has been a common practice to use ordinary differential equations to model dynamic systems. However, most of real systems have delays associated -normally introduced by natural response time (of sensors, actuators, etc, . . .) , and transport (of information, mass, etc, . . .) phenomenaand a more accurate model would require the use of functional-differential equati...

Interval Observers for Linear Systems with Time-Varying Delays

This paper considers linear observed systems with time-varying delays, where the state as well as the observation of the state is subject to delays. It is assumed that the delays are unknown but stay below a certain bound. Similar to the case of uncertainties in the systems parameters we aim to derive upper and lower estimates for the state of the system under consideration. A pair of estimator...

ADAPTIVE FUZZY TRACKING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS WITH UNKNOWN DISTRIBUTED TIME-VARYING DELAYS AND UNKNOWN CONTROL DIRECTIONS

In this paper, an adaptive fuzzy control scheme is proposed for a class of perturbed strict-feedback nonlinear systems with unknown discrete and distributed time-varying delays, and the proposed design method does not require a priori knowledge of the signs of the control gains.Based on the backstepping technique, the adaptive fuzzy controller is constructed. The main contributions of the paper...

Observability and Forward-Backward Observability of Discrete-Time Nonlinear Systems

In this paper, we study the observability properties of nonlinear discrete time systems. Two types of contributions are given. First, we present observability criteria in terms of appropriate codistributions. For particular, but significant, classes of systems we provide criteria that require only a finite number of computations. Then, we consider invertible systems (which includes discrete-tim...

Design of a Model Based Compensator for MIMO Systems with Time Delays and Constrained Inputs