NONLINEAR SAMPLED DATA CONTROLLER REDESIGN VIA LYAPUNOV FUNCTIONS

Nonlinear Sampled–data Controller Redesign via Lyapunov Functions

We provide results for redesign of Lyapunov function based continuous time controllers for sampled-data implementation, using a particular form of the redesigned controller and the Taylor expansion of the sampled-data Lyapunov difference. We develop two types of redesigned controllers that (i) make the lower order terms (in T ) in the series expansion of the Lyapunov difference with the redesig...

Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation

Control Lyapunov Functions: New Framework for Nonlinear Controller Design

Control Lyapunov function (CLF) is a successful attempt to directly use of the Lyapunov function stability analysis technique of nonlinear systems in the synthesis problem. In this paper, on the basis of Freeman’s work (1996), the concept of CLF are re-analyze through using the method of set-valued analysis. And then, a new CLF based nonlinear controller design framework, called generalized poi...

H∞ Sampled-Data Controller Design for Stochastic Genetic Regulatory Networks

Artificially regulating gene expression is an important step in developing new treatment for system-level disease such as cancer. In this paper, we propose a method to regulate gene expression based on sampled-data measurements of gene products concentrations. Inherent noisy behaviour of Gene regulatory networks are modeled with stochastic nonlinear differential equation. To synthesize feed...

Output-feedback sampled-data polynomial controller for nonlinear systems

This paper presents the stability analysis and control synthesis for a sampled-data control system which consists of a nonlinear plant and an output-feedback sampled-data polynomial controller connected in a closed loop. The output-feedback sampled-data polynomial controller, which can be implemented by a microcontroller or a digital computer, is proposed to stabilize the nonlinear plant. Based...