Stabilization by a relay control using non-quadratic Lyapunov functions
DOI10.1016/J.AUTOMATICA.2018.08.020zbMath1406.93281OpenAlexW2892361355MaRDI QIDQ1716550
Zohra Kader, Laurentiu Hetel, Lotfi Belkoura, Christophe Fiter
Publication date: 5 February 2019
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01871693/file/Automatica%20-%20Version%20finale.pdf
relay controlswitched affine systemslinear time invariant systemsnonlinear switching surfaceslocal asymptotic stabilization
Feedback control (93B52) Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
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Cites Work
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- The boundary crossing theorem and the maximal stability interval
- On practical stabilization of systems with delayed relay control
- Simplex sliding mode control of multi-input systems with chattering reduction and mono-directional actuators
- Robustness of Luenberger observers: Linear systems stabilized via non- linear control
- Fast switches in relay feedback systems
- Switching in systems and control
- Sufficient algebraic conditions for stability of cones of polynomials
- Set invariance in control
- Dissipative differential inclusions, set-valued energy storage and supply rate maps, and stability of discontinuous feedback systems
- Attractive ellipsoids in robust control
- Minimum time control of a nonlinear system
- Local Stabilization of Switched Affine Systems
- Variable Structure Control With Generalized Relays: A Simple Convex Optimization Approach
- A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
- Linear Matrix Inequalities in System and Control Theory
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Global stability of relay feedback systems
- Stabilization of switched affine systems with disturbed state‐dependent switching laws
- Robust finite time observer design for multicellular converters
- Stability and Stabilization of Linear Systems with Saturating Actuators
- Limit cycles with chattering in relay feedback systems
- Stability Analysis and Stabilization of Systems Presenting Nested Saturations
- Discontinuous dynamical systems
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