Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties

By Junguo Lu, YangQuan Chen. Fractional Calculus and Applied Analysis, 2012

73 citations recorded by the source corpus.

This paper considers the problems of robust stability and stabilization for a class of fractional-order linear time-invariant systems with convex polytopic uncertainties. The stability condition of the fractional-order linear time-invariant systems without uncertainties is extended by introducing a new matrix variable. The new extended stability condition is linear with respect to the new matrix variable and exhibits a kind of decoupling between the positive definite matrix and the system matrix. Based on the new extended stability condition, sufficient conditions for the above robust stability and stabilization problems are established in terms of linear matrix inequalities by using parameter-dependent positive definite matrices. Finally, numerical examples are provided to illustrate the proposed results.

Subfields: Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/19802d55eebb140319115c7a28b3288cc428a29f

How researchers see this paper

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In Control and Systems Engineering

1. Yiheng Wei
2. Yong Wang
3. Songsong Cheng
4. Yuquan Chen

In Modeling and Simulation

1. Yiheng Wei
2. Yong Wang

Citations in the corpus

• Completeness on the stability criterion of fractional order LTI systems (2017, background): “Stability is the elementary requirement of a controlled plant and the key guideline of controller design [13, 22].”