This manuscript establishes a methodology that guides the designers to develop an optimal controller for a semiactive suspension system. The methodology’s processes are generally explained and straightforwardly, so a designer can extrapolate the methodology to a specific problem. Furthermore, this research presents an optimal control strategy for a semiactive control applied to a quarter vehicle model as an example of using the methodology. A particular interest is made in the advantages of such a simple synthesis and in the compromises that must be done in skyhook and groundhook control law applications. This manuscript exposes a logical and straightforward approach for choosing the controllers’ design parameters; also, efforts must be made to express precise performance specifications and constraints in the control design. The herein methodology could be relevant in the process design for intelligent suspensions, from one-quarter toward the entire vehicle.
Intelligent suspension systems assist in decreasing the impact of road disturbances on passenger comfort, and its design requires a mathematical analysis that includes the elements of the suspension and the passenger's vertical dynamics. The contribution of this research is to merge a 4 degrees-of-freedom (DOF) Boileau-Rakheja biodynamic passenger model with a 3-DOF suspension model to generate more accurate representations of the displacements and accelerations of the main passenger's masses. Moreover, the contribution is complemented with a Skyhook controller in a semi-active 7-DOF one-quarter vehicle suspension to improve passenger comfort, and a case study presents tests in frequency and time domains. The analysis was conducted by establishing a regulatory closed-loop feedback control for a state-space system, simulating its behavior using MATLAB/Simulink, and comparing the results against specific performance criteria. The active suspension's frequency response showed a 40% reduction in the displacement transmissibility of the suspended masses at low frequencies (0-4 Hz), but exhibited a 2-10% increase in the rms acceleration at high frequencies (4-15 Hz). The herein results could be the base for further studies in the passenger comfort and road holding for one quarter, but also for half and full vehicle.
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