Journal ArticleDOI
Stability and stabilization of periodic piecewise linear systems: A matrix polynomial approach
TLDR
The proposed stabilizing controller can be solved directly and effectively, which is applicable to more general situations than those previously covered, and given to illustrate the effectiveness of the proposed method.About:
This article is published in Automatica.The article was published on 2018-08-01. It has received 74 citations till now. The article focuses on the topics: Matrix polynomial & Piecewise.read more
Citations
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Journal ArticleDOI
An Event-Based Asynchronous Approach to Markov Jump Systems With Hidden Mode Detections and Missing Measurements
TL;DR: To guarantee that the MJS is stochastically stable, an event-based asynchronous controller is designed and a mode-dependent event-triggered mechanism (ETM) is proposed to reduce the burden of data transmission.
Journal ArticleDOI
Practical multi-objective control for automotive semi-active suspension system with nonlinear hydraulic adjustable damper
Xinbo Ma,Pak Kin Wong,Jing Zhao +2 more
TL;DR: Numerical and experimental results illustrate that the modeled regulating mechanism of the nonlinear HAD and the proposed multi-objective control of SAS system are effective to improve the vertical performance of the vehicle and feasible in practical applications.
Journal ArticleDOI
Finite-time stabilization of linear systems by bounded linear time-varying feedback
TL;DR: Methods to design bounded linear time-varying (LTV) controllers such that the control performance of alinear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop systems can be obtained.
Journal ArticleDOI
Finite-time stability analysis and stabilization by bounded linear time-varying feedback
TL;DR: Two classes of new time-varying high-gain functions are proposed to reduce the regulation time and some connections of the proposed results to existing results on Lyapunov-inequality based finite-time stability analysis and nonlinear feedback based finite -time stabilization are revealed.
Journal ArticleDOI
Stability and $L_2$ Synthesis of a Class of Periodic Piecewise Time-Varying Systems
TL;DR: A state-feedback controller with time-Varying gain is developed to stabilize the unstable periodic piecewise time-varying system and an exponential stability condition is provided.
References
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Journal ArticleDOI
Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
TL;DR: The stability and stabilization problems for a class of switched linear systems with mode-dependent average dwell time (MDADT) are investigated in both continuous-time and discrete-time contexts.
Journal ArticleDOI
Disturbance Attenuation Properties of Time-Controlled Switched Systems
TL;DR: This paper investigates the disturbance attenuation properties of time-controlled switched systems consisting of several linear time-invariant subsystems by using an average dwell time approach incorporated with a piecewise Lyapunov function and shows that if the total activation time of unstable subsystems is relatively small compared with that of the Hurwitz stable subsystems, then a reasonable weighted disturbance attenuations level is guaranteed.
Journal ArticleDOI
Stabilization of switched continuous-time systems with all modes unstable via dwell time switching
Weiming Xiang,Jian Xiao +1 more
TL;DR: A sufficient condition ensuring the asymptotic stability of switched continuous-time systems with all modes unstable is proposed, using a discretized Lyapunov function approach in the framework of dwell time.
Book
Periodic Systems: Filtering and Control
TL;DR: Linear Periodic Systems as mentioned in this paper, Floquet Theory and Stability, Structural Properties, Periodic Transfer Function and BIBO Stability, Time-invariant Reformulations, State-Space Realization, Zeros, Poles and the Delay Structure.
Journal ArticleDOI
LMI Techniques for Optimization Over Polynomials in Control: A Survey
TL;DR: This survey aims to provide the reader with a significant overview of the LMI techniques that are used in control systems for tackling optimization problems over polynomials, describing approaches such as decomposition in sum of squares, Positivstellensatz, theory of moments, Pólya's theorem, and matrix dilation.
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