Fixed-time Stabilization with a Prescribed Constant Settling Time by Static Feedback for Delay-Free and Input Delay Systems
A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial conditions. The constant convergence time is achieved due to a dependence of the feedback gain of the initial state of the system. The robustness of the closed-loop system with respect to measurement noises and exogenous perturbations is studied using the concept of Input-to-State Stability (ISS). Both delay-free and input delay systems are studied. Theoretical results are illustrated by numerical simulations.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Stabilization with Prescribed Instant via Lyapunov Method
This letter investigates the prescribed-instant stabilization problem for high-order integrator systems. In anothor word, the settling time under the presented controller is independent of the initial conditions and equa…
Prescribed-time Cooperative Output Regulation of Linear Heterogeneous Multi-agent Systems
A finite-time protocol for a multi-agent systems (MASs) can guarantee the convergence of every agent in a finite time interval in contrast to the asymptotic convergence, but the settling time depends on the initial condi…
Prescribed-Time Newton Extremum Seeking using Delays and Time-Periodic Gains
We study prescribed-time extremum seeking (ES) for scalar maps in the presence of time delay. The problem has been solved by Yilmaz and Krstic using chirpy probing and time-varying singular gains. To alleviate the gain s…
Practical Explicit-time Stabilization of a Proportional Control System
Proportional control can be realized directly through the amplification of analog signals, and it also has the advantage of easy tuning parameters in digital signal control. However, it is difficult for the proportional …
Prescribed Performance Adaptive Fixed-Time Attitude Tracking Control of a 3-DOF Helicopter with Small Overshoot
In this article, a novel prescribed performance adaptive fixed-time backstepping control strategy is investigated for the attitude tracking of a 3-DOF helicopter. First, a new unified barrier function (UBF) is designed t…