Prescribed-Time Stabilization of Singularly Perturbed Systems
نویسندگان
چکیده
Dear Editor, This letter investigates the prescribed-time stabilization of linear singularly perturbed systems. Due to numerical issues caused by small perturbation parameter, off-the-shelf control design techniques for regular systems are typically not suitable here. To solve problem, decoupling transformation time-varying combined with high gain feedback techniques. A composite state controller is designed, and existence Chang matrix slow fast dynamics guaranteed. As a result, stability ensured. Finally, example provided illustrate effectiveness results.
منابع مشابه
Stabilization bound of singularly perturbed systems subject to actuator saturation
This paper considers the stabilization bound problem for singularly perturbed systems (SPSs) subject to actuator saturation. A state feedback stabilization controller design method is proposed and a basin of attraction depending on the singular perturbation parameter is constructed, which facilitates the formulation of the convex optimization problem for maximizing the basin of attraction of SP...
متن کاملStabilization for a Class of Singularly Perturbed Systems with Multiple Time Delays
In this paper, an asymptotically stabilizing composite feedback control is proposed for a class of linear singularly perturbed systems with multiple time delays. A sufficient condition for the asymptotic stability of the slow subsystem and the fast subsystem is first presented. Moreover, a stability bound ∗ ε of singular perturbation parameter ε is given such that the original system under the ...
متن کاملStability analysis and stabilization synthesis of singularly perturbed switched systems: An average dwell time approach
Abstract: Stability analysis and stabilization synthesis problems of the singularly perturbed switched systems (SPSSs) are investigated in this paper. First, stability of the SPSS with stable subsystems is discussed by using an average dwell time approach with a full-order piecewise Lyapunov function. Then, the result is extended to the situation that not all the subsystems are Hurwitz stable. ...
متن کاملRobust Stabilization for Singularly Perturbed Saturating Actuator Systems with Multiple Time-Delay
The delay-dependent stability of singularly perturbed multiple time-delay systems with saturating actuators in slow states is discussed. A delay-dependent sufficient condition for the uniform asymptotic stability of the closed-loop systems via a memoryless state feedback controller are developed. The matrix measure and comparison theorem are employed to investigate the problem. The results obta...
متن کاملMaximal stability bounds of discrete-time singularly perturbed systems
Abstract: The exact stability bound of the parasitic parameter for a discrete-time singularly perturbed system is determined by the linear fractional transformation (LFT) framework. Two systematic approaches including time-domain and frequency-domain methods are proposed to solve this problem based on the unified LFT framework. One employs the Kronecker product of LFTs and the guardian map theo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE/CAA Journal of Automatica Sinica
سال: 2023
ISSN: ['2329-9274', '2329-9266']
DOI: https://doi.org/10.1109/jas.2023.123246