Paper Info
Title
Extremum-seeking for nonlinear discrete-time systems with application to HCCI engines
Abstract
For many control applications, identifying an optimal operating point by maximizing/minimizing a performance function is important. This paper applies the extremum-seeking method to nonaffine, nonlinear discrete-time systems stabilized by an optimal adaptive controller. First, a novel averaging method is used for the nonlinear discrete-time systems to show that their output unique extrema are stable equilibrium points. Then, a singular perturbation method in discrete time is employed to show that the overall closed loop system will dynamically converge to the extremum. The applicability of this scheme is numerically verified on a Homogeneous Charge Compression Ignition (HCCI) model validated experimentally and expressed as an uncertain nonaffine, nonlinear discrete-time dynamic system. This proposed method is able to find an operating point that not only maximizes the engine's efficiency, but also maintains the pressure rise rate (PRR) within the engine's operating limits.
Year
DOI
Venue
2014
10.1109/ACC.2014.6858872
American Control Conference
Keywords
Field
DocType
adaptive control,closed loop systems,discrete time systems,ignition,internal combustion engines,nonlinear control systems,optimal control,perturbation techniques,stability,uncertain systems,HCCI engines,PRR,averaging method,closed loop system,extremum-seeking method,homogeneous charge compression ignition model,nonaffine system,nonlinear discrete-time dynamic system,nonlinear discrete-time system stabilization,nonlinear discrete-time systems,optimal adaptive controller,optimal operating point identification,performance function maximization,performance function minimization,pressure rise rate,singular perturbation method,uncertain nonaffine dynamic system,Adaptive systems,Mechanical systems/robotics,Optimization
Computer science,Control theory,Control engineering
Conference
ISSN
Citations 
PageRank 
0743-1619
0
0.34
References 
Authors
8
3
Name
Order
Citations
PageRank
Hassan Zargarzadeh194.75
Sarangapani Jagannathan2113694.89
J. Drallmeier3162.76