Control With Minimal Cost-Per-Symbol Encoding and Quasi-Optimality of Event-Based Encoders
Reads0
Chats0
TLDR
The paper concludes with the analysis of a simple emulation-based controller and event-based encoder/decoder pair that are easy to implement, stabilize the process, and have average bit-rate and resource consumption within a constant factor of the optimal bound.Abstract:
We consider the problem of stabilizing a continuous-time linear time-invariant system subject to communication constraints. A noiseless finite-capacity communication channel connects the process sensors to the controller/actuator. The sensor's state measurements are encoded into symbols from a finite alphabet, transmitted through the channel, and decoded at the controller/actuator. We suppose that the transmission of each symbol costs one unit of communication resources, except for one special symbol in the alphabet that is “free” and effectively signals the absence of transmission. We explore the relationship between the encoder's average bit-rate, its average consumption of communication resources, and the ability of the controller and encoder/decoder pair to stabilize the process. We present a necessary and sufficient condition for the existence of a stabilizing controller and encoder/decoder pair, which depends on the encoder's average bit-rate, its average resource consumption, and the unstable eigenvalues of the process. Moreover, if this condition is satisfied, a stabilizing encoding scheme can be constructed that consumes resources at an arbitrarily small rate, provided the encoder has access to a sufficiently precise clock or large memory. The paper concludes with the analysis of a simple emulation-based controller and event-based encoder/decoder pair that are easy to implement, stabilize the process, and have average bit-rate and resource consumption within a constant factor of the optimal bound.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
Networked Control Under DoS Attacks: Tradeoffs Between Resilience and Data Rate
TL;DR: This article characterize the bit-rate conditions that are dependent on the unstable eigenvalues of the dynamic matrix of the plant and the parameters of DoS attacks, under which exponential stability of the closed-loop system can be guaranteed.
Journal ArticleDOI
Recursive Filtering With Measurement Fading: A Multiple Description Coding Scheme
TL;DR: The purpose of the problem addressed is to design a recursive filter, such that in the simultaneous presence of the stochastic noises, the channel fading and the data coding–decoding mechanism, an upper bound of the filtering error variance is obtained and then minimized at each time step.
Journal ArticleDOI
Bit-Rate Conditions to Stabilize a Continuous-Time Linear System With Feedback Dropouts
TL;DR: This technical note considers the input-to-state stability of a continuous-time linear system, which sends feedback signals from the sensor to the controller over a nondeterministic communication network with bounded network delay and occasional dropouts, and derives some stabilizing bit-rate conditions determined by the unstable eigenvalues of the system matrix, the dropout rate, and the upper bound on the timing error.
Journal ArticleDOI
The Value of Timing Information in Event-Triggered Control
TL;DR: A phase transition behavior of the transmission rate required for stabilization as a function of the communication delay is revealed and an explicit construction providing a sufficient condition for stabilization is given.
References
More filters
Book
Elements of information theory
Thomas M. Cover,Joy A. Thomas +1 more
TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
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
Control under communication constraints
TL;DR: This paper forms a control problem with a communication channel connecting the sensor to the controller, and provides upper and lower bounds on the channel rate required to achieve different control objectives.
Journal ArticleDOI
Quantized feedback stabilization of linear systems
TL;DR: A new control design methodology is proposed, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves, which yields global asymptotic stability.
Book
Hybrid Dynamical Systems: Modeling, Stability, and Robustness
TL;DR: This book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components.