Journal ArticleDOI
Stabilization of Uncertain Discrete-Time Linear System With Limited Communication
TLDR
It is shown that the robust control law with aperiodic information ensures input-to-state stability of the original system in the presence of mismatched uncertainty, and derived the event-triggering condition for a discrete-time uncertain system.Abstract:
This technical note proposes a procedure to control an uncertain discrete-time networked system using an aperiodic stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric uncertainty. Aperiodic exchange of information is done due to bandwidth constraint of the communication network. An event-triggered based robust control strategy is adopted to reduce the effects of system uncertainty in such bandwidth constrained networks. In event-triggered control, the control input is computed and actuated at the system end only when a pre-specified event condition is violated. The robust control input is derived to stabilize the uncertain system by solving an optimal control problem based on a virtual nominal dynamics and a modified cost-functional. It is shown that the robust control law with aperiodic information ensures input-to-state stability (ISS) of the original system in the presence of mismatched uncertainty. Deriving the event-triggering condition for a discrete-time uncertain system and ensuring the stability of such system analytically are the key contributions of this technical note. A numerical example is given to prove the efficacy of the proposed event-based control algorithm over the conventional periodic one.read more
Citations
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Journal ArticleDOI
Event-triggered adaptive control of uncertain non-linear systems under input delay and limited resources
TL;DR: In this article, an event-triggered adaptive controller based on backstepping technique is designed for a general class of non-linear uncertain MIMO systems to reduce communication burden and save computational resources.
Journal ArticleDOI
Observer-Based Event-Driven Control for Discrete-Time Systems With Disturbance Rejection
TL;DR: It can be found that with the established event-driven control approaches, the updating frequency of the controller can be prominently reduced, and the disturbance can also be compensated in the output channels of the systems.
Journal ArticleDOI
Robust RLS Wiener Signal Estimators for Discrete-Time Stochastic Systems with Uncertain Parameters
TL;DR: In this article, the robust recursive least squares (RLS) Wiener fixed-point smoother and filter in linear discrete-time stochastic systems with parameter uncertainties is proposed. But the robust RLS Wiener estimators use the system matrices and the observation matrices for both the signal and the degraded signal, the variance of the state vector for the degraded signals, the cross-variance of the vector for each signal with the vector of the signal for each degraded signal.
Journal ArticleDOI
Suboptimal robust stabilization of discrete-time mismatched nonlinear system
TL;DR: This paper introduces another control input named as virtual input, which is not applied directly to stabilize the uncertain system, rather it is used to define a sufficient condition and is illustrated with simulation results to prove the efficacy of the proposed control algorithm.
Journal ArticleDOI
H∞ control for networked switched systems with mixed switching law and an event-triggered communication mechanism
TL;DR: This paper studies the event-triggered control problem for networked switched systems with a mixed time and state-dependent switching law by using discrete event-triggering strategies and considering the effects of transmission delays to establish a time-delay closed-loop switched system.
References
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Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Journal ArticleDOI
Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks
TL;DR: This note investigates a simple event-triggered scheduler based on the paradigm that a real-time scheduler could be regarded as a feedback controller that decides which task is executed at any given instant and shows how it leads to guaranteed performance thus relaxing the more traditional periodic execution requirements.
Journal ArticleDOI
Stability of networked control systems
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Optimal Sampled-Data Control Systems
Tongwen Chen,Bruce A. Francis +1 more
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