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
More filters
Comparison of Riemann and Lebesque sampling for first order stochastic systems
TL;DR: In this article, it is shown that Lebesgue sampling gives better performance for some simple systems than traditional Riemann sampling, which is an analog of integration theory and is called event-based sampling.
Journal ArticleDOI
Synchronization of Switched Discrete-Time Neural Networks via Quantized Output Control With Actuator Fault
TL;DR: This article considers global exponential synchronization almost surely (GES a.s.) for a class of switched discrete-time neural networks (DTNNs) and finds that the TP matrix plays an important role in achieving the GES a.S., the upper bound of the dwell time (DT) of unsynchronized subsystems can be very large, and the lowerbound of the DT of synchronized subsystems could be very small.
Journal ArticleDOI
Data-Driven Robust Control of Discrete-Time Uncertain Linear Systems via Off-Policy Reinforcement Learning
TL;DR: A model-free solution to the robust stabilization problem of discrete-time linear dynamical systems with bounded and mismatched uncertainty is presented and it is shown that the optimal controller obtained by solving the ARE can robustly stabilize the uncertain system.
Journal ArticleDOI
Model-Free <i>λ</i>-Policy Iteration for Discrete-Time Linear Quadratic Regulation
TL;DR: In this paper , a model-free λ -policy iteration (λ -PI) for the discrete-time linear quadratic regulation (LQR) problem is presented.
Journal ArticleDOI
Improved event-triggered adaptive control of non-linear uncertain networked systems
TL;DR: An improved event-triggered adaptive backstepping control scheme is presented in this study for a class of uncertain NCSs with non-Lipschitz non-linearities under limited resources to satisfy bandwidth limitation and ensure system stability with acceptable transient performance.
References
More filters
Journal ArticleDOI
Robust hovering control of a PVTOL aircraft
Feng Lin,W. Zhang,R.D. Brandt +2 more
TL;DR: This work uses an optimal control approach to design a robust hovering control of vertical/short takeoff and landing (V/STOL) aircraft that is nonlinear state feedback whose robustness is demonstrated by numerical simulations.
Journal ArticleDOI
Near Optimal Event-Triggered Control of Nonlinear Discrete-Time Systems Using Neurodynamic Programming
TL;DR: An event-triggered near optimal control of uncertain nonlinear discrete-time systems with Lyapunov technique used in conjunction with the event-trigger condition to guarantee the ultimate boundedness of the closed-loop system is presented.
Journal ArticleDOI
Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty
TL;DR: In this paper, the authors present an algorithm for the stabilization of a class of discrete-time uncertain systems suffering from uncertainty of the norm bounded time varying type by solving a certain discrete Riccati equation.
Journal ArticleDOI
An optimal control approach to robust control design
TL;DR: This work proposes an optimal control approach to robust control design that can deal with both linear and non-linear systems and can handle both matched and unmatched uncertainties.
Journal ArticleDOI
Suboptimal Event-Triggered Control for Time-Delayed Linear Systems
TL;DR: This technical note considers event-triggering conditions and controller synthesis approaches for delayed linear systems and compares with other approaches in the literature to demonstrate the advantages with respect to the two performance indices.
Related Papers (5)
Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays
Eloy Garcia,Panos J. Antsaklis +1 more