6533b828fe1ef96bd1288136
RESEARCH PRODUCT
Positive L1 observer design for positive Switched systems
Shuo LiZhengrong XiangHamid Reza Karimisubject
exponetial stabiblityApplied MathematicsSignal ProcessingVDP::Technology: 500::Mechanical engineering: 570positive observerswitched systemstime-varying delaysAverage dwell time; Exponential stability; Positive observer; Switched systems; Time-varying delays; Signal Processing; Applied MathematicsExponential stabilityVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411average dwell timedescription
Published version of an article in the journal: Circuits, Systems, and Signal Processing. Also available from the publisher at: http://dx.doi.org/10.1007/s00034-013-9737-6 This paper investigates the problem of L1 observer design for positive switched systems. Firstly, a new kind of positive L1 observer is proposed for positive switched linear delay-free systems with observable and unobservable subsystems. Based on the average dwell time approach, a sufficient condition is proposed to ensure the existence of the positive L1 observer. Under the condition obtained, the estimated error converges to zero exponentially, and the L1 -gain from the disturbance input to the estimated error is less than a prescribed level. Then the proposed design result is extended to positive switched systems with mixed time-varying delays, where the mixed time-varying delays are presented in the form of discrete delay and distributed delay. Finally, two numerical examples are given to demonstrate the feasibility of the obtained results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |