This paper presents an efficient H2 optimization method for passive mechanical control problems with a special class of positive real controllers. In particular, the problem of designing passive vehicle suspensions based on a full-car model is taken as an example, where both the positive real constraint and the constraint imposed on the static stiffness are considered. An unconstrained nonlinear programming problem is formulated by using the structured H2 optimization framework, and the Lagrange matrix multiplier method is employed to derive a set of necessary conditions for the optimization so that the time-efficient gradient-based algorithms can easily be implemented. The proposed method can also effectively deal with the fixed static stiffness optimization problem and it is shown in the numerical examples that the proposed method cannot only recover the existing fixed-structure configuration, but also introduce new (optimal) configurations with respect to the specific weighting factors, which demonstrates the effectiveness of the proposed method.
Passive Mechanical Control With a Special Class of Positive Real Controllers: Application to Passive Vehicle Suspensions
Nanjing University of Science and Technology,
Nanjing 210094, China
National Taiwan University,
Taipei 10617, Taiwan
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 24, 2015; final manuscript received September 10, 2015; published online October 6, 2015. Assoc. Editor: Douglas Bristow.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Chen, M. Z. Q., Hu, Y., and Wang, F. (October 6, 2015). "Passive Mechanical Control With a Special Class of Positive Real Controllers: Application to Passive Vehicle Suspensions." ASME. J. Dyn. Sys., Meas., Control. December 2015; 137(12): 121013. https://doi.org/10.1115/1.4031630
Download citation file:
- Ris (Zotero)
- Reference Manager