Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension
Papageorgiou C. and Smith M.C.
IEEE Transactions on Control SystemsTechnology, Volume 14, Number 3, Pages 423-435, May 2006Abstract
This paper presents a procedure for the synthesis of
positive real controllers based on matrix inequalities. Problems
with H-2 and H-infinity cost are considered and the resulting bilinear
matrix inequality problems are solved using local, iterative algorithms.
The procedure is applied to the synthesis of passive suspensions for the
optimization of certain performance measures
for a quarter-car model. The characterization of the positive real
constraint using matrix inequalities and the use of a new mechanical
element called the inerter, permits the optimization over the
entire class of positive real admittances and the realization of the
resulting admittance using passive elements. The optimization
results are compared with previous results obtained using optimization
over fixed-structure admittances. The proposed method
can reproduce the previous results and achieve better results in
certain cases. Results of the experimental testing of a mechanical
network involving an inerter are presented.
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BibTex Entry
- @Article{,
- author = {Papageorgiou C. and Smith M.C.},
- journal = {IEEE Transactions on Control SystemsTechnology},
- title = { Positive real synthesis using matrix inequalities for mechanical networks: application to vehicle suspension},
- year = {2006},
- month = {May},
- number = {3},
- pages = {423-435},
- volume = {14}
- }
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