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Title

APPLICATION OF (CPSO) ALGORITHM IN REDUCED-ORDER SYNCHRONIZATION OF CHAOTIC SYSTEMS WITH DIFFERENT DIMENSION IN PRESENCE OF UNKNOWN PARAMETERS

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Abstract

 IN THIS PAPER, CHAOTIC PARTICLE SWARM OPTIMIZATION (CPSO) IS APPLIED IN REDUCED-ORDER SYNCHRONIZATION OF CHAOTIC SYSTEMS WITH DIFFERENT DIMENSION IN PRESENCE OF UNKNOWN PARAMETERS.ALSO, OUR PURPOSE IS SYNCHRONIZATION OF THE CHAOTIC SYSTEMS WITH AN ARBITRARY DIFFERENT ORDER SYSTEM, TO APPLYING AN APPROPRIATE CONTROL SIGNAL BY (CPSO), SO THAT IT FOLLOW BEHAVIOR A CHAOTIC SYSTEM THAT PARAMETERS ARE UNKNOWN. THE MAIN FEATURE OF THE REDUCED-ORDER SYNCHRONIZATION IS THAT THE ORDER OF THE SLAVE SYSTEM IS LESS THAN THE MASTER SYSTEM. CHAOS PARTICLE SWARM OPTIMIZATION (CPSO), WHICH INVOLVES COMBINING OF CHAOS AND PSO, APPLIED TO PROPOSED AN APPROPRIATE CONTROL SIGNAL. THIS METHOD CAN BE APPLIED TO CONTROL BY DEFINING AN APPROPRIATE COST FUNCTION THAT GUARANTEES STABILITY OF SYSTEM. FOR ROBUSTNESS OF CONTROLLER IN PRESENCE OF ENVIRONMENT NOISE AND PARAMETER UNCERTAINTY, SINCE PSO NEEDS ONLY RUDIMENTARY INFORMATION ABOUT THE SYSTEM, IT CAN BE A SUITABLE ALGORITHM FOR THIS CASE. IN THIS PAPER ALSO, WE WILL APPLING CHAOTIC PARTICLE SWARM OPTIMIZATION FOR TWO CHEN AND LU SYSTEMS AND SYNCHRONIZE THEY BY THE REDUCED-ORDER METHOD. FINALLY, PROPOSED APPROPRIATE CONTROL SIGNAL.

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