Journal ArticleDOI
On an output feedback finite-time stabilization problem
TLDR
It is shown that the closed-loop system resulting from the control law can maintain its local finite-time stability regardless of some nonlinear perturbations, indicating that the law actually applies to a large class of nonlinear second order systems.Abstract:
Studies the problem of finite-time output feedback stabilization for the double integrator system. A class of output feedback controllers that can achieve global finite-time stability for the double integrator system are constructed based on a "finite-time separation principle." Furthermore, it is shown that the closed-loop system resulting from our control law can maintain its local finite-time stability regardless of some nonlinear perturbations. Thus, our control law actually applies to a large class of nonlinear second order systems.read more
Citations
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Journal ArticleDOI
Continuous finite-time control for robotic manipulators with terminal sliding modes
TL;DR: A continuous finite-time control scheme for rigid robotic manipulators is proposed using a new form of terminal sliding modes using the Lyapunov stability theory, and theoretical analysis and simulation results show that faster and high-precision tracking performance is obtained.
Journal ArticleDOI
Geometric homogeneity with applications to finite-time stability
TL;DR: A result relating regularity properties of a homogeneous function to its degree of homogeneity and the local behavior of the dilation near the origin makes it possible to extend previous results on homogeneous systems to the geometric framework.
Journal ArticleDOI
Global finite-time stabilization of a class of uncertain nonlinear systems
Xianqing Huang,Wei Lin,Bo Yang +2 more
TL;DR: It is proved that global finite-time stabilizability of uncertain nonlinear systems that are dominated by a lower-triangular system can be achieved by Holder continuous state feedback.
Journal ArticleDOI
Finite-time stabilization and stabilizability of a class of controllable systems
Yiguang Hong,Yiguang Hong +1 more
TL;DR: In this paper, finite-time control problem of a class of controllable systems is considered and explicit formulae are proposed for the finite time stabilization of a chain of power-integrators, and discussions about a generalized class of nonlinear systems are given.
Journal ArticleDOI
Distributed Secondary Voltage and Frequency Restoration Control of Droop-Controlled Inverter-Based Microgrids
TL;DR: In this paper, restorations for both voltage and frequency in the droop-controlled inverter-based islanded microgrid (MG) are addressed and a consensus-based distributed frequency control is proposed for frequency restoration, subject to certain control input constraints.
References
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Journal ArticleDOI
Finite-Time Stability of Continuous Autonomous Systems
TL;DR: It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related and converse Lyap Unov results can only assure the existence of continuous Lyap unov functions.
Journal ArticleDOI
Continuous finite-time stabilization of the translational and rotational double integrators
TL;DR: A class of bounded continuous time-invariant finite-time stabilizing feedback laws is given for the double integrator because Lyapunov theory is used to prove finite- time convergence.
Journal ArticleDOI
Optimal control: An introduction to the theory and ITs applications
Stephen Kahne,E. Lee +1 more