Global finite-time stabilisation of a class of switched nonlinear systems

DOI10.1080/00207721.2014.880197zbMath1332.93303OpenAlexW2019035564MaRDI QIDQ2792227

Jun Fu, Ruicheng Ma, Ying-Jiu Liang, Min Wang

Publication date: 8 March 2016

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2014.880197

zbMATH Keywords

common Lyapunov functionswitched nonlinear systemsadding one power integratorglobal finite-time stabilisation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (24)

Stabilization and H_∞ Control of Nonlinear Switched Hamiltonian Systems Subject to Actuator Saturation ⋮ Finite-time stabilization of a class of output-constrained nonlinear systems ⋮ Global finite-time output feedback stabilisation for a class of switched high-order nonlinear systems ⋮ Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers ⋮ Fixed-time control design for nonlinear uncertain systems via adaptive method ⋮ Prescribed-time stabilisation design for a class of nonlinear systems with state constraints ⋮ Finite-time asynchronous filtering for switched linear systems with an event-triggered mechanism ⋮ Robust stabilization of non-minimum phase switched nonlinear systems with uncertainty ⋮ Simultaneous state and output disturbance estimations for a class of switched linear systems with unknown inputs ⋮ Adaptive finite-time control for a class of switched nonlinear systems using multiple Lyapunov functions ⋮ Global finite-time stabilization for switched stochastic nonlinear systems via output feedback ⋮ Global fixed-time stabilization for a class of switched nonlinear systems with general powers and its application ⋮ Finite-time stabilization of a class of upper-triangular switched nonlinear systems ⋮ Finite-time adaptive neural control of nonlinear systems with unknown output hysteresis ⋮ Finite-time adaptive control for a class of switched stochastic uncertain nonlinear systems ⋮ Output feedback stabilization for stochastic nonholonomic systems under arbitrary switching ⋮ Adaptive finite-time tracking control of switched nonlinear systems ⋮ Adaptive finite-time control of stochastic nonlinear systems with actuator failures ⋮ Adaptive fuzzy output-feedback fault-tolerant tracking control of a class of uncertain nonlinear switched systems ⋮ Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay ⋮ Adaptive finite-time prescribed performance control of switched nonlinear systems with unknown actuator dead-zone ⋮ Anti-windup control for nonlinear singularly perturbed switched systems with actuator saturation ⋮ Global finite-time control for a class of switched nonlinear systems with different powers via output feedback ⋮ Finite-time prescribed performance control of switched nonlinear systems with input quantisation

Cites Work

• Nonsmooth stabilization of a class of nonlinear cascaded systems
• Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems
• Finite-time stabilization of stochastic nonlinear systems in strict-feedback form
• Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings
• Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics
• Asynchronously switched control of switched linear systems with average dwell time
• Modal exact linearization of a class of second-order switched nonlinear systems
• Adaptive neural control for a class of switched nonlinear systems
• Delay-dependent robust control for uncertain switched systems with time-delay
• Stabilizing controllers design for switched nonlinear systems in strict-feedback form
• Stabilizer design of planar switched linear systems
• Finite-time stabilization and stabilizability of a class of controllable systems
• On stability of a class of switched nonlinear systems
• Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems
• Sliding mode control with bounded \(\mathcal L_2\) gain performance of Markovian jump singular time-delay systems
• Stability and stabilization of positive switched systems with mode-dependent average dwell time
• Common Lyapunov functions for families of commuting nonlinear systems
• Global finite-time stabilization of a class of uncertain nonlinear systems
• Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form
• Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
• Stability analysis of switched systems under dynamical dwell time control approach
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
• Finite-Time Stability of Continuous Autonomous Systems
• Non-linear adaptive sliding mode switching control with average dwell-time
• Switched adaptive tracking control of robot manipulators with friction and changing loads
• Predictive control of switched nonlinear systems with scheduled mode transitions
• Adaptive finite-time control of nonlinear systems with parametric uncertainty
• Finding common quadratic Lyapunov functions for switched linear systems using particle swarm optimisation

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