Phase control of a nano-structured light-harvesting architecture

Wakayama, Cherry; Kohn, Wolf; Zabinsky, Zelda B.; Shi, C.-J. Richard

doi:10.1016/j.nahs.2008.09.009

Cited by 1 publication

(1 citation statement)

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“…Most of the systems around us whether natural or man‐made are inherently nonlinear and are represented by nonlinear mathematical models. Examples of such models can be seen in biological systems , ecosystems , chemical and biochemical processes , nanotechnology , satellite dynamics , power systems , and so on. To devise suitable controllers for such systems that achieve realistic performances, a number of challenges must be taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

Observer-based controller for constrained uncertain stochastic nonlinear discrete-time systems

Hassan

Alrifai

Soliman

et al. 2015

Int. J. Robust. Nonlinear Control

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Summary In this paper, an observer‐based control approach is proposed for uncertain stochastic nonlinear discrete‐time systems with input constraints. The widely used extended Kalman filter (EKF) is well known to be inadequate for estimating the states of uncertain nonlinear dynamical systems with strong nonlinearities especially if the time horizon of the estimation process is relatively long. Instead, a modified version of the EKF with improved stability and robustness is proposed for estimating the states of such systems. A constrained observer‐based controller is then developed using the state‐dependent Riccati equation approach. Rigorous analysis of the stability of the developed stochastically controlled system is presented. The developed approach is applied to control the performance of a synchronous generator connected to an infinite bus and chaos in permanent magnet synchronous motor. Simulation results of the synchronous generator show that the estimated states resulting from the proposed estimator are stable, whereas those resulting from the EKF diverge. Moreover, satisfactory performance is achieved by applying the developed observer‐based control strategy on the two practical problems. Copyright © 2015 John Wiley & Sons, Ltd.

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