Abstract
Optimal control problems for semi-active vehicle suspensions and their numerical solution are discussed in this paper. For this purpose, several models of the vehicle dynamics with different levels of details and a general formulation of different sub-criteria for rating the ride comfort and safty are presented and investigated in this paper. The benefits and drawbacks of various numerical optimal control methods such as LQR-, H∞ and direct collocation when applied to the different optimal control problems for semi-active vehicle suspension are investigated. Furthermore, the semi-active vehicle suspension is based on a dynamic model of the recently developed prototype of a continuously controllable shock absorber with a smart, electrorheological fluid. These are smart materials and have been known for already more than 50 years. They belong to the group of colloidal suspensions which are able to change their viscosity drastically. This depends upon molecular chain formations in the fluid caused by an electric field perpendicular to the direction of flow. Very low control costs and fast response times of the ERF devices have sparked much an interest in ERFs in the last couple of years. The development of new control strategies for ERF devices integrated into complex multi body systems require a high level of knowledge of the behavior of the ERF subsystems. Dynamic models of controllable ERF devices are studied with respect to their particular dependencies, effects and requirements. An application is presented here which merges linear optimal control strategies and ERF shock absorbers within a complex model of full car dynamics. Here we give a mathematical formulation for the objectives of ride comfort and safety that takes into account various measurement possibilities. The result demonstrates the large potential of optimally controlled ERF devices.
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Rettig, U., von Stryk, O. (2001). Numerical Optimal Control Strategies for Semi-Active Vehicle Suspension with Electrorheological Fluid Dampers. In: Hoffmann, KH., Hoppe, R.H.W., Schulz, V. (eds) Fast Solution of Discretized Optimization Problems. ISNM International Series of Numerical Mathematics, vol 138. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8233-0_17
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DOI: https://doi.org/10.1007/978-3-0348-8233-0_17
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