Abstract

This paper presents a fuzzy adaptive cuckoo search algorithm to improve the cuckoo search algorithm, which may easily fall into a local optimum when handling multiobjective optimization problems. The Fuzzy–Proportional-Integral-Derivative (PID) controller design for an active micro-suspension system has been incorporated into the proposed fuzzy adaptive cuckoo search algorithm to improve both driving comfort and road handling. In the past research, a genetic algorithm was often applied in Fuzzy–PID controller design. However, when the dimension is high and there are numerous local optima, the traditional genetic algorithm will not only have a premature convergence, but may also be trapped in the local optima. In the proposed fuzzy adaptive cuckoo search, all parameters of the PID controller and fuzzy rules are real coded to 75 bits in the optimization problem. Moreover, a fuzzy adaptive strategy is proposed for dynamically adjusting the learning parameters in the fuzzy adaptive cuckoo search, and this indeed enables global convergence. Experimental results verify that the proposed fuzzy adaptive cuckoo search algorithm can shorten the computing time in the evolution process and increase accuracy in the multiobjective optimization problem.

Highlights

  • Engineering design problems often involve highly nonlinear constraints and are related to multiobjective optimization problems

  • When the fuzzy adaptive cuckoo search (FACS) is applied to Fuzzy–PID controller design for an active suspension system, all the parameters relating to fuzzy rules or PID controller are real coded to 75 bits

  • The Fuzzy–PID controller design for an active micro-suspension system has been incorporated into the proposed FACS algorithm

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Summary

Introduction

Engineering design problems often involve highly nonlinear constraints and are related to multiobjective optimization problems. In the proposed fuzzy adaptive cuckoo search (FACS) algorithm, the nest positions are real coded to evolve to an optimum. When the FACS is applied to Fuzzy–PID controller design for an active suspension system, all the parameters relating to fuzzy rules or PID controller are real coded to 75 bits.

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