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Input-to-State Stability of Nonlinear Impulsive Systems Subjects to Actuator Saturation and External Disturbance
- Source :
- IEEE Transactions on Cybernetics. 53:173-183
- Publication Year :
- 2023
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2023.
-
Abstract
- This article mainly explores the local input-to-state stability (LISS) property of a class of nonlinear systems via a saturated control strategy, where both the external disturbance and impulsive disturbance being fully considered. In terms of the Lyapunov method and inequality techniques, some sufficient conditions under which the system can be made LISS are proposed, and the elastic constraint relationship among saturated control gain, rate coefficients, external disturbance, and domain of initial value is revealed. Moreover, the optimization design procedures are provided with the hope of obtaining the estimates of admissible external disturbance and domain of initial value as large as possible, where the corresponding saturated control law can be designed by solving LMI-based conditions. In the absence of an external disturbance, the locally exponential stability (LES) property can also be presented with a set of more relaxed conditions. Finally, two examples are presented to reveal the validity of the obtained results.
- Subjects :
- Lyapunov function
Disturbance (geology)
Stability (probability)
Domain (mathematical analysis)
Computer Science Applications
Human-Computer Interaction
Constraint (information theory)
symbols.namesake
Nonlinear system
Exponential stability
Control and Systems Engineering
Control theory
symbols
Initial value problem
Electrical and Electronic Engineering
Software
Information Systems
Mathematics
Subjects
Details
- ISSN :
- 21682275 and 21682267
- Volume :
- 53
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Cybernetics
- Accession number :
- edsair.doi.dedup.....508b4225234abad00f701b16ae3b8162