New stability results for discrete-time switched systems: a new multiple piecewise convex Lyapunov function approach

Cui, Jiahao; Chen, Xia; Wang, Ruihua

doi:10.23919/chicc.2019.8865583

Cited by 3 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In References 15,21, a discontinuous MLF is put forward by removing the continuous requirement of subsystem Lyapunov functions. In References 16,17,22, the authors endow MLF with convex functions to enlarge the application range of stability results from two aspects: ADT bound and feasible parameter region of system matrices. The proposed predictive Lyapunov function is designed based on the discontinuous Lyapunov function and convex Lyapunov function to reduce the potential conservativeness.…”

Section: Introductionmentioning

confidence: 99%

A new ‐gain analysis framework for discrete‐time switched systems based on predictive Lyapunov function

Wang

Zong

Shen

et al. 2021

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

The work proposes the pre‐l2‐gain analysis framework based on the newly raised nonweighted pre‐l2‐gain performance index and predictive Lyapunov function, which is devoted to nonweighted l2‐gain analysis and relevant control of discrete‐time switched systems under mode‐dependent average dwell time. This also provides new ideas for other disturbance‐related studies. To begin with, the predictive Lyapunov function is established for switched nonlinear systems in the sense of better reflecting future system dynamics and future external disturbances. Hence, it is achievable to develop less conservative stability and nonweighted pre‐l2‐gain criteria for switched linear systems. Further, a new disturbance‐output expression is devised to match with the nonweighted pre‐l2‐gain, whose function is to estimate and optimize the traditional nonweighted l2‐gain of the underlying system through discussions. Then, a solvable condition is formulated to seek the piecewise time‐dependent gains of switching controller in a convex structure, ensuring the global uniform exponential stability with nonweighted pre‐l2‐gain and thereby attaining much smaller non‐weighted l2‐gain. Finally, the simulation comprised of a circuit system and a numerical example manifests the impressive potential of the obtained results for the purpose of preferable disturbance attenuation performances.

show abstract

Section: Introductionmentioning

confidence: 99%