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

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

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...

Continuous-time controller redesign for digital implementation: A trajectory based approach

Given a continuous time nonlinear closed loop system, we investigate sampled–data feedback laws for which the trajectories of the sampled–data closed loop system converge to the continuous time trajectories with a prescribed rate of convergence as the length of the sampling interval tends to zero. We derive necessary and sufficient conditions for the existence of such sampled–data feedback laws...

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...

Improved Observer-Based Digital Redesign Tracker for Nonlinear Sampled Data Systems

In this paper, a novel observer-based digital redesign tracker is proposed to resolve the output tracking problem for nonlinear sampled data systems. Acquiring parameters via a hybrid design of EP-based iterative learning control (EP-ILC) and linear quadratic analog tracker (LQAT), the tracker possesses good tracking performance both in transient state response and in steady state response when...