Reset control systems: The zero-crossing resetting law
نویسندگان
چکیده
A novel representation of reset control systems with a zero-crossing resetting law, in the framework hybrid inclusions, is postulated. The well-posedness and stability issues resulting dynamical system are investigated, strong focus on how non-deterministic behavior implemented practice. Several conditions have been developed by using eigenstructure matrices related to periods interval sequences Lyapunov function-based conditions.
منابع مشابه
Reset control systems: stabilization by nearly-periodic reset
In this paper the class of linear impulsive systems is considered. These systems are those with a continuous linear dynamics for all time, except at a sequence of instants. When such a discrete time occurs, the state undergoes a jump, or more precisely follows a discrete linear dynamics. The sequence of time instants, when a discrete dynamics occurs, is nearlyperiodic only, i.e. it is distant f...
متن کاملFundamental properties of reset control systems
Reset controllers are linear controllers that reset some of their states to zero when their input is zero. We are interested in their feedback connection with linear plants, and in this paper we establish fundamental closed-loop properties. This paper considers more general reset structures than previously considered, allowing for higher-order controllers and partial-state resetting. It gives a...
متن کاملAnti-windup strategy for reset control systems
This paper proposes an anti-windup strategy to deal with stability and performance requirements for a class of hybrid systems, such as those including a reset controller and subject to input saturation. The computation of the anti-windup compensator aiming at ensuring both L2 input-to-state stability and internal stability of the closed-loop system is carried out from the solution of matrix ine...
متن کاملEvent-triggered control via reset control systems framework
This paper deals with a systematic way to design the event-triggered rules to stabilize a class of linear reset control systems. The event-triggering condition depends only on local information, that is it only uses the measured signals. The approach proposed combines a hybrid framework to describe the sampled-data system with Lyapunov-based techniques. Dwelltime dependent constructive conditio...
متن کاملAn impulsive dynamical systems framework for reset control systems
Impulsive dynamical systems is a well-established area of dynamical systems theory, and it is used in this work to analyze several basic properties of reset control systems: existence and uniqueness of solutions, and continuous dependence on the initial condition (well-posedness). The work scope is about reset control systems with a linear and time-invariant base system, and a zero-crossing res...
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: Nonlinear Analysis: Hybrid Systems
سال: 2022
ISSN: ['1751-570X', '1878-7460']
DOI: https://doi.org/10.1016/j.nahs.2022.101259