Multi-objective genetic algorithm fractional-order PID controller for semi-active magnetorheologically damped seat suspension

Recently, fractional-order proportional–integral–derivative (FOPID) controllers are demonstrated as a general form of the classical proportional–integral–derivative (PID) using fractional calculus. In FOPID controller, the orders of the derivative and integral portions are not integers which offer m...

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Bibliographic Details
Published in:Journal of vibration and control 2017-05, Vol.23 (8), p.1248-1266
Main Authors: Gad, S, Metered, H, Bassuiny, A, Abdel Ghany, AM
Format: Article
Language:English
Subjects:
Active control
Algorithms
Automotive parts
Chassis
Coils
Computer simulation
Control theory
Controllers
Fractional calculus
Genetic algorithms
Heavy vehicles
Mathematical analysis
Mathematical models
Multiple objective analysis
Optimization
Passenger comfort
Proportional integral derivative
Semiactive damping
Semiactive suspensions
Suspension systems
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Summary:Recently, fractional-order proportional–integral–derivative (FOPID) controllers are demonstrated as a general form of the classical proportional–integral–derivative (PID) using fractional calculus. In FOPID controller, the orders of the derivative and integral portions are not integers which offer more flexibility in succeeding control objectives. This paper proposes a multi-objective genetic algorithm (MOGA) to optimize the FOPID controller gains to enhance the ride comfort of heavy vehicles. The usage of magnetorheological (MR) damper in seat suspension system provides considerable benefits in this area. The proposed semi-active control algorithm consists of a system controller that determines the desired damping force using a FOPID controller tuned using a MOGA, and a continuous state damper controller that calculates the input voltage to the damper coil. A mathematical model of a six degrees–of–freedom seat suspension system incorporating human body model using an MR damper is derived and simulated using Matlab/Simulink software. The proposed semi–active MR seat suspension is compared to the classical PID, optimum PID tuned using genetic algorithm (GA) and passive seat suspension systems for predetermined chassis displacement. System performance criteria are examined in both time and frequency domains, in order to verify the success of the proposed FOPID algorithm. The simulation results prove that the proposed FOPID controller of MR seat suspension offers a superior performance of the ride comfort over the integer controllers.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546315591620