Title :
Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
Author :
Lu, Jun-Guo ; Chen, Guanrong
Author_Institution :
Dept. of Autom., Shanghai Jiaotong Univ., Shanghai
fDate :
6/1/2009 12:00:00 AM
Abstract :
This technical note presents necessary and sufficient conditions for the stability and stabilization of fractional-order interval systems. The results are obtained in terms of linear matrix inequalities. Two illustrative examples are given to show that our results are effective and less conservative for checking the robust stability and designing the stabilizing controller for fractional-order interval systems.
Keywords :
linear matrix inequalities; stability; LMI approach; fractional-order interval systems; linear matrix inequalities; robust stability; stabilization; stabilizing controller; sufficient conditions; Automatic control; Circuit synthesis; Control system synthesis; Control systems; Costs; Dynamic programming; Eigenvalues and eigenfunctions; Integral equations; Linear matrix inequalities; Optimal control; Quantization; Robust control; Robust stability; Sufficient conditions; Uncertainty; Fractional-order system; interval system; linear matrix inequality (LMI); robust stability; robust stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2013056
