Designing H∞/GH 2 static-output feedback controller for vehicle suspensions using linear matrix inequalities and genetic algorithms
- Publication Type:
- Journal Article
- Vehicle System Dynamics, 2008, 46 (5), pp. 385 - 412
- Issue Date:
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This paper presents an approach to design the H/GH 2 static-output feedback controller for vehicle suspensions by using linear matrix inequalities (LMIs) and genetic algorithms (GAs). Three main performance requirements for an advanced vehicle suspension are considered in this paper. Among these requirements, the ride-comfort performance is optimized by minimizing the H norm of the transfer function from the road disturbance to the sprung mass acceleration, while the road-holding performance and the suspension deflection limitation are guaranteed by constraining the generalized H2 (GH 2) norms of the transfer functions from the road disturbance to the dynamic tyre load and the suspension deflection to be less than their hard limits, respectively. At the same time, the controller saturation problem is considered by constraining its peak response output to be less than a given limit using the GH 2 norm as well. A four-degree-of-freedom half-car model with active suspension system is applied in this paper. Several kinds of H/GH 2 static-output feedback controllers, which use the available sprung mass velocities or the suspension deflections as feedback signals, are obtained by using the GAs to search for the possible control gain matrices and then resolving the LMIs together with the minimization optimization problem. These designed H/GH 2 static-output feedback controllers are validated by numerical simulations on both the bump and the random road responses which show that the designed H/GH 2 static-output feedback controllers can achieve similar or even better active suspension performances compared with the state-feedback control case in spite of their simplicities.
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