Chaos in Piecewise-Linear Sampled-Data Control Systems

Piecewise linear density estimation for sampled data

Abstract – Nonparametric density estimation is considered for a discretely observed stationary continuous-time process. For each of three given time sampling procedures either random or deterministic, we establish that histograms and frequency polygons can reach the same optimal L2-rates as in the independent and identically distributed case. Moreover, thanks to a suitable “high frequency” samp...

A Study on Piecewise Linear Approximation in the L1 Optimal Control Problem of Sampled-Data Systems

This paper studies a mathematical basis of piecewise linear approximation in the L1 optimal control problem of sampled-data systems, which aims at minimizing the L∞induced norm of sampled-data systems. To take into account of intersample behavior, we first consider the lifted representation of sampled-data systems. The sampling interval [0, h) is then divided into M subintervals with an equal w...

Optimal Sampled–Data State Feedback Control of Linear Systems ⋆

This paper addresses and solves two optimal state-feedback control design problems for sampled-data systems. First, we reformulate the closed-loop system as a special linear hybrid system. Then, two theorems are developed to evaluate the H2 and the H∞ performances of hybrid systems using specific two-point boundary value problems. Both theorems are adapted to provide optimal control conditions,...

Piecewise Constant Controlled Linear Fuzzy Systems

Structural Properties of Multirate Sampled-Data Systems

The application of Networked Control Systems (NCS) in which sensory and control signals are transmitted via shared data communication networks, is growing significantly and these systems have been the subject of research during the last decade. On the other hand, multirate sampled data systems have been investigated since a long time. In this paper, conditions under which a networked control sy...