A piecewise smooth control-Lyapunov function framework for switching stabilization

DOI10.1016/j.automatica.2016.09.029zbMath1352.93088arXiv1503.01968OpenAlexW2963026934MaRDI QIDQ503182

Yueyun Lu, Wei Zhang

Publication date: 11 January 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01968

zbMATH Keywords

Filippov solutionswitched systemsliding motioncontrol-Lyapunov functionswitching stabilization

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Adaptive or robust stabilization (93D21) Variable structure systems (93B12) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

Time-triggered and event-triggered control of switched affine systems via a hybrid dynamical approach ⋮ Robust switching control design for uncertain discrete‐time switched affine systems ⋮ The viability of switched nonlinear systems with piecewise smooth Lyapunov functions ⋮ A piecewise smooth control-Lyapunov function framework for switching stabilization ⋮ A novel approach to sampled-data filter design for piecewise-affine systems ⋮ Robust smooth transfer for tilt-rotor aircraft under the asynchronous switching ⋮ A Control Lyapunov Function Approach to Feedback Stabilization of Logical Control Networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A piecewise smooth control-Lyapunov function framework for switching stabilization
• Sliding modes in control and optimization. Transl. from the Russian
• Stability results for switched controller systems
• Switching in systems and control
• Stabilization of continuous-time switched nonlinear systems
• Variable structure systems with sliding modes
• Patchy Vector Fields and Asymptotic Stabilization
• Asymptotic controllability implies feedback stabilization
• Piecewise linear quadratic optimal control
• Basic problems in stability and design of switched systems
• Stabilization of Switched Systems via Composite Quadratic Functions
• Discontinuous dynamical systems