TY - GEN
T1 - LMI results for robust control design of observer-based controllers, the discrete-time case with polytopic uncertainties
AU - Peaucelle, D.
AU - Ebihara, Y.
N1 - Publisher Copyright:
© IFAC.
PY - 2014
Y1 - 2014
N2 - Design of robust observers is considered in the context of linear discrete-time, time invariant systems. Robustness is achieved with respect to polytopic type uncertainties that affect the dynamics of the plant. At the difference with the uncertainty-free situation, state-feedback/observer separation principle does not hold. Therefore, the observer design has to take into account the state-feedback gain. Results are derived with linear matrix inequality formalism and involve up-to-date slack-variables approach. A numerical example illustrates the results. Limitations of the method are discussed and prospective work for improving these is exposed.
AB - Design of robust observers is considered in the context of linear discrete-time, time invariant systems. Robustness is achieved with respect to polytopic type uncertainties that affect the dynamics of the plant. At the difference with the uncertainty-free situation, state-feedback/observer separation principle does not hold. Therefore, the observer design has to take into account the state-feedback gain. Results are derived with linear matrix inequality formalism and involve up-to-date slack-variables approach. A numerical example illustrates the results. Limitations of the method are discussed and prospective work for improving these is exposed.
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U2 - 10.3182/20140824-6-za-1003.00218
DO - 10.3182/20140824-6-za-1003.00218
M3 - Conference contribution
AN - SCOPUS:84929815663
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 6527
EP - 6532
BT - 19th IFAC World Congress IFAC 2014, Proceedings
A2 - Boje, Edward
A2 - Xia, Xiaohua
PB - IFAC Secretariat
T2 - 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Y2 - 24 August 2014 through 29 August 2014
ER -