Analytical and numerical Lyapunov functions for SISO linear control systems with first-order reset elements
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Publication:3011220
DOI10.1002/rnc.1649zbMath1225.93099OpenAlexW1995877589MaRDI QIDQ3011220
Luca Zaccarian, Andrew R. Teel, Dragan Nešić
Publication date: 28 June 2011
Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/rnc.1649
Lyapunov and storage functions (93D30) Perturbations in control/observation systems (93C73) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)
Related Items (12)
On \(\mathcal{L}_2\) gain performance improvement of linear systems with Lyapunov-based reset control ⋮ Finite-gain \(\mathcal{L}_p\) stability for hybrid dynamical systems ⋮ Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems ⋮ Frequency-domain tools for stability analysis of reset control systems ⋮ Analysis and synthesis of linear hybrid systems with state-triggered jumps ⋮ ℋ2 reset controller design for linear systems using piecewise quadratic Lyapunov functions ⋮ Overcoming overshoot performance limitations of linear systems with reset control ⋮ Reset observers for linear time-varying delay systems: delay-dependent approach ⋮ Robust control and data‐driven tuning of a hybrid integrator‐gain system with applications to wafer scanners ⋮ A Reset-Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems ⋮ Projection-based integrators for improved motion control: formalization, well-posedness and stability of hybrid integrator-gain systems ⋮ Reset control systems: the zero-crossing resetting law
Cites Work
- Fundamental properties of reset control systems
- On the regularization of Zeno hybrid automata
- Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
- Stability properties of reset systems
- Anti-windup strategy for reset control systems
- Performance analysis of reset control systems
- Non-linear design for cost of feedback reduction in systems with large parameter uncertainty †
- Linear Matrix Inequalities in System and Control Theory
- 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
- On Horowitz's contributions to reset control
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