TY - JOUR
T1 - Output integral sliding mode for min-max optimization of multi-plant linear uncertain systems
AU - Bejarano, Francisco Javier
AU - Fridman, Leonid M.
AU - Poznyak, Alexander S.
N1 - Funding Information:
Manuscript received February 21, 2008; revised August 04, 2008 and November 19, 2008. First published October 13, 2009; current version published November 04, 2009. This paper was presented in part at the American Control Conference, New York, NY, 2007. This work was supported by CONACyT under Project 56819, and by the Postdoctoral Grant CVU 103957. Recommended by Associate Editor A. Ferrara.
PY - 2009/11
Y1 - 2009/11
N2 - We consider the application of a min-max optimal control based on the LQ-index for a set of systems where only the output information is available. Here every system is affected by matched uncertainties, and we propose to use an output integral sliding mode to compensate the matched uncertainties right after the beginning of the process. For the case when the extended system is free of invariant zeros, a hierarchical sliding mode observer is applied. The error of realization of the proposed control algorithm is estimated in terms of the sampling step and actuator time constant. An example illustrates the suggested method of design.
AB - We consider the application of a min-max optimal control based on the LQ-index for a set of systems where only the output information is available. Here every system is affected by matched uncertainties, and we propose to use an output integral sliding mode to compensate the matched uncertainties right after the beginning of the process. For the case when the extended system is free of invariant zeros, a hierarchical sliding mode observer is applied. The error of realization of the proposed control algorithm is estimated in terms of the sampling step and actuator time constant. An example illustrates the suggested method of design.
KW - Hierarchical sliding mode observer (HSMO)
KW - Output integral sliding mode (OISM)
UR - http://www.scopus.com/inward/record.url?scp=79952898877&partnerID=8YFLogxK
U2 - 10.1109/TAC.2009.2031718
DO - 10.1109/TAC.2009.2031718
M3 - Artículo
SN - 0018-9286
VL - 54
SP - 2611
EP - 2620
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 11
M1 - 5286265
ER -