Robust Non-fragile Controllers Design for Uncertain Linear Switched Systems - Intelligent Computing for Sustainable Energy and Environment - page 255

switching signal in terms of average dwell-time satisfying τ D ≥

τ D . In (28),

Γ i = He{A i X i + B i W i } + ε 1 i D i D i + ε 2 i B i F i F T

i B i + ε 3 i E i E i +2 λ 0 X i , Ξ ( ε 4 i )=

ε 4 i ( I + M i F i F i M i ) . I −

Proof. The proof is similar to that of Theorem 3. For the sake of space, the
detailed proof is omitted here.

4 Conclusions

In this paper, based on average dwell-time method, the robust non-fragile state
feedback controllers for a class of switched linear uncertain systems have been
designed. The closed-loop systems can be exponentially stable via switching
with the designed feedback controllers. The proposed method is feasible and
convenient by just solving the LMIs condition. In addition, the proposed method
can improve the controller performance. However, the method needs that every
subsystem has some stability margin, which remains to be further investigated.

Acknowledgments. This work was supported in part by National Natural
Science Foundation of China (61104068), Natural Science Foundation of Jiangsu
Province (BK2010200), China Postdoctoral Science Foundation (2012M511176)
and Research Fund for the Doctoral Program of Higher Education of China
(20090092120027) and (20110092110021).

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