Convergence criterion in optimization of stochastic processes

A novel approach is developed and its applicability is demonstrated for defining convergence in optimization of stochastic processes for both design and control applications. The approach is computationally simple, does not require a priori knowledge, and does not get drawn into undesirable solutions from fortuitous good values.

[1]  R. Russell Rhinehart,et al.  Critical values for a steady-state identifier , 1997 .

[2]  Saptarshi Das,et al.  Tuning of an optimal fuzzy PID controller with stochastic algorithms for networked control systems with random time delay. , 2011, ISA transactions.

[3]  R. R. Rhinehart,et al.  An efficient method for on-line identification of steady state , 1995 .

[4]  Tito Homem-de-Mello,et al.  Sampling strategies and stopping criteria for stochastic dual dynamic programming: a case study in long-term hydrothermal scheduling , 2011 .

[5]  Zhou Dong-hua Robust Fault Detection for a Class of Nonlinear Networked Systems , 2010 .

[6]  Rainer Laur,et al.  Stopping Criteria for a Constrained Single-Objective Particle Swarm Optimization Algorithm , 2007, Informatica.

[7]  Liqun Gao,et al.  An improved particle swarm optimization algorithm for reliability problems. , 2011, ISA transactions.

[8]  A. Ebrahimzadeh,et al.  Application of the PSO-SVM model for recognition of control chart patterns. , 2010, ISA transactions.

[9]  Xiang Li,et al.  A STOCHASTIC TIMETABLE OPTIMIZATION MODEL IN SUBWAY SYSTEMS , 2013 .

[10]  Mekki Ksouri,et al.  Robust controller for uncertain parameters systems. , 2012, ISA transactions.

[11]  R. Russell Rhinehart,et al.  Type-II critical values for a steady-state identifier , 2010 .

[12]  G. R. Sullivan,et al.  Generic model control (GMC) , 1988 .

[13]  David P. Morton,et al.  Stopping Rules for a Class of Sampling-Based Stochastic Programming Algorithms , 1998, Oper. Res..

[14]  R. Russell Rhinehart,et al.  Improved initialization of players in leapfrogging optimization , 2014, Comput. Chem. Eng..

[15]  Junmi Li,et al.  Delay-dependent fuzzy static output feedback control for discrete-time fuzzy stochastic systems with distributed time-varying delays. , 2012, ISA transactions.

[16]  J. Doye,et al.  Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms , 1997, cond-mat/9803344.

[17]  R. Russell Rhinehart,et al.  Automated steady and transient state identification in noisy processes , 2013, 2013 American Control Conference.

[18]  Ming Su,et al.  Leapfrogging and synoptic Leapfrogging: A new optimization approach , 2012, Comput. Chem. Eng..

[19]  Bin Wang,et al.  Robust fault detection for nonlinear networked systems with stochastic interval delay characteristics. , 2011, ISA transactions.

[20]  James C. Spall,et al.  Stopping small-sample stochastic approximation , 2009, 2009 American Control Conference.

[21]  Zelda B. Zabinsky,et al.  A Numerical Evaluation of Several Stochastic Algorithms on Selected Continuous Global Optimization Test Problems , 2005, J. Glob. Optim..