Global exponential stability and \(H_\infty\) control of limit cycle for switched affine systems under time-dependent switching signal

DOI10.1016/j.amc.2021.126807OpenAlexW4213172290WikidataQ115598073 ScholiaQ115598073MaRDI QIDQ2113708

Qunxian Zheng, Xiaozeng Xu, Wei Chen, Hong Bin Zhang

Publication date: 14 March 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126807

zbMATH Keywords

\(H_\infty\) controllimit cyclesglobal exponential stabilitycontinuous-time switched affine systemstime-dependent switching signal

Mathematics Subject Classification ID

Model systems in control theory (93Cxx) Stability of control systems (93Dxx) Controllability, observability, and system structure (93Bxx)

Related Items

Averaging of systems with fast-varying coefficients and non-small delays with application to stabilization of affine systems via time-dependent switching

Cites Work

• Dynamic output feedback \(\mathcal{H}_\infty\) control of continuous-time switched affine systems
• Robust quantized \(H_\infty\) filtering for discrete-time uncertain systems with packet dropouts
• Global asymptotic stability of limit cycle and \(\mathcal{H}_2/ \mathcal{H}_\infty\) performance of discrete-time switched affine systems
• Dynamic event-triggered \(\mathcal{L}_\infty\) control for switched affine systems with sampled-data switching
• \(H_\infty\) controller design of networked control systems with a new quantization structure
• A new result of terminal sliding mode finite-time state and fault estimation for a class of descriptor switched systems
• Asynchronous \(H_\infty\) filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization
• Event-triggered control of discrete-time switched linear systems with packet losses
• Adaptive output-feedback control design with prescribed performance for switched nonlinear systems
• Switching rule design for affine switched systems using a max-type composition rule
• \(\mathcal{H}_\infty\) synchronization of persistent dwell-time switched neural networks based on an observer-based sliding mode scheme
• Non-fragile reduced-order dynamic output feedbackH∞control for switched systems with average dwell-time switching
• RobustH_∞switching control techniques for switched nonlinear systems with application to urban traffic control
• Computing the Projected Reachable Set of Stochastic Biochemical Reaction Networks Modeled by Switched Affine Systems
• On the Local Stabilization of Hybrid Limit Cycles in Switched Affine Systems
• Hybrid control design for limit cycle stabilisation of planar switched systems
• Robust Global Stabilization of the DC-DC Boost Converter via Hybrid Control
• Practical Stabilization of Switched Affine Systems With Dwell-Time Guarantees
• Switched Affine Systems Using Sampled-Data Controllers: Robust and Guaranteed Stabilization
• Robust Sampled – Data Control of Switched Affine Systems
• Quantized stabilization for switched affine systems with event‐triggered mechanism