On \(\mathcal{L}_2\) gain performance improvement of linear systems with Lyapunov-based reset control

DOI10.1016/j.nahs.2016.01.004zbMath1338.93164OpenAlexW2279843854MaRDI QIDQ286065

Guanglei Zhao, Jing-Cheng Wang

Publication date: 19 May 2016

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2016.01.004

zbMATH Keywords

\(\mathcal{L}_2\) gainLyapunov-based reset rulesobserver-based designreset controller

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Observability (93B07)

Related Items (7)

Frequency-domain tools for stability analysis of reset control systems ⋮ A T-S fuzzy state observer-based model predictive reset control for a class of fuzzy nonlinear systems with event-triggered mechanism ⋮ L₂-gain analysis of reset control for piecewise-affine systems with input saturation ⋮ Stability analysis of delayed reset systems with distributed state resetting ⋮ Overcoming overshoot performance limitations of linear systems with reset control ⋮ Semi-global robust tracking consensus for multi-agent uncertain systems with input saturation via metamorphic low-gain feedback ⋮ Reset integral control for improved settling of PID-based motion systems with friction

Cites Work

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• Analytical and numerical Lyapunov functions for SISO linear control systems with first-order reset elements
• Performance analysis of reset control systems
• Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances†
• Plant with integrator: an example of reset control overcoming limitations of linear feedback
• Stability and Performance of SISO Control Systems With First-Order Reset Elements

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