Practical numerical algorithms for chaotic systems
Practical numerical algorithms for chaotic systems
Evolutionary computation: toward a new philosophy of machine intelligence
Evolutionary computation: toward a new philosophy of machine intelligence
On how pachycondyla apicalis ants suggest a new search algorithm
Future Generation Computer Systems
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
ANTS '02 Proceedings of the Third International Workshop on Ant Algorithms
HIS '05 Proceedings of the Fifth International Conference on Hybrid Intelligent Systems
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
A multi-crossover genetic approach to multivariable PID controllers tuning
Expert Systems with Applications: An International Journal
An overview of evolutionary algorithms for parameter optimization
Evolutionary Computation
Use of chaotic sequences in a biologically inspired algorithm for engineering design optimization
Expert Systems with Applications: An International Journal
An expert system based on wavelet decomposition and neural network for modeling Chua's circuit
Expert Systems with Applications: An International Journal
Parameter identification of chaotic systems using evolutionary programming approach
Expert Systems with Applications: An International Journal
Decoupled adaptive neuro-fuzzy (DANF) sliding mode control system for a Lorenz chaotic problem
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Accelerating Differential Evolution Using an Adaptive Local Search
IEEE Transactions on Evolutionary Computation
Ant system: optimization by a colony of cooperating agents
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
New methodology for analytical and optimal design of fuzzy PID controllers
IEEE Transactions on Fuzzy Systems
Adaptive Memetic Differential Evolution with Global and Local neighborhood-based mutation operators
Information Sciences: an International Journal
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Optimization algorithms inspired by the ants' foraging behavior have been initially used for solving combinatorial optimization problems. Since the emergence of ant algorithms as an optimization tool, some attempts were also made to use them for tackling continuous optimization problems. In recent years, the investigation of synchronization and control problem for discrete chaotic systems has attracted much attention, and many possible applications. The optimization of a proportional-integral-derivative (PID) controller based on a modified continuous approach of ant colony optimization combined with a differential evolution method (MACO) for synchronization of two identical discrete chaotic systems subject the different initial conditions is presented in this paper. Numerical simulations based on optimized PID control of a nonlinear chaotic model demonstrate the effectiveness and efficiency of MACO approach. Simulation results of the MACO to determine the PID parameters are compared with other metaheuristics including a classical ant colony optimization approach, genetic algorithm and evolution strategy. The proposed approach of PID tuning based on MACO can be generalized to other chaotic systems.