Optimal control of LTI systems over unreliable communication links

Imer, O.C.; Yüksel, Serdar; Başar, Tamer

doi:10.1016/j.automatica.2006.03.011

Cited by 516 publications

(347 citation statements)

References 16 publications

Supporting

Mentioning

338

Contrasting

Order By: Relevance

“…In [29,30], the authors pointed out that P({P k ≤ M }) is a better evaluation for the estimation performance than the quantity E[P k ], and then obtained the lower and upper bounds for P({P k ≤ M }). The LQG problem for TCP-like systems has been comprehensively investigated in [14,31,36,37]. However, these results fail to apply to UDP-like or SS-UDP systems, as the structure of the optimal estimator for TCPlike systems is different from that for UDP-like or SS-UDP systems.…”

Section: B Related Work and Contributionsmentioning

confidence: 99%

“…Thus,x k+1 and e k+1 are m.s. stable in the homogeneous part of (30) and (31), which implies the MMS of the closed-loop system.…”

Section: By Repeatedly Using the Preceding Equation We Havementioning

confidence: 99%

“…It can be seen from [1,24] that among the topics on optimal estimation and control for the system with packet loss, there are some closely related fundamental issues: the stability of the estimator [25,26], the distribution and convergence of the estimation error covariance [27,28], the estimation performance evaluation [29,30], and the stability of the closed-loop system [14,31]. These four issues have been fully investigated for TCP-like systems, but they are seldom studied for SS-UDP systems.…”

Section: A Background and Motivationsmentioning

confidence: 99%

“…Observe that in Lemma 9, x k and e k are determined by (30) and (31). Here, what we consider is their homogeneous parts (32) and (33).…”

Section: Proof Of Part (I)mentioning

confidence: 99%

“…The closed-loop system is consisted of three dynamic subsystems, whose states are the plant x k , the smart sensor x s k , and the estimatorx k , respectively. It has been pointed out in [31] that even when the infinite LQG control exists, the controller does not necessarily stabilize the closed-loop system. Hence, we consider the following problem.…”

Section: Problem 3 Analyze the Estimation Performance In Term Ofmentioning

confidence: 99%

See 4 more Smart Citations

Optimal Estimation and Control for Lossy Network: Stability, Convergence, and Performance

Lin

Shi

et al. 2017

IEEE Trans. Automat. Contr.

View full text Add to dashboard Cite

Abstract-In this paper, we study the problems of optimal estimation and control, i.e., the linear quadratic Gaussian (LQG) control, for systems with packet losses but without acknowledgment. Such acknowledgment is a signal sent by the actuator to inform the estimator of the incidence of control packet losses. For such system, which is usually called as a User Datagram Protocol (UDP)-like system, the optimal estimation is nonlinear and its calculation is time-consuming, making its corresponding optimal LQG problem complicated. We first propose two conditions: 1) the sensor has some computation abilities; and 2) the control command, exerted to the plant, is known to the sensor. For a UDP-like system satisfying these two conditions, we derive the optimal estimation. By constructing the finite and infinite product probability measure spaces for the estimation error covariances (EEC), we give the stability condition for the expected EEC, and show the existence of a measurable function to which the EEC converges in distribution, and propose some practical methods to evaluate the estimation performance. Finally, the LQG controllers are derived, and the conditions for the mean square stability of the closed-loop system are established.

show abstract

Section: B Related Work and Contributionsmentioning

confidence: 99%

“…Thus,x k+1 and e k+1 are m.s. stable in the homogeneous part of (30) and (31), which implies the MMS of the closed-loop system.…”

Section: By Repeatedly Using the Preceding Equation We Havementioning

confidence: 99%

Section: A Background and Motivationsmentioning

confidence: 99%

“…Observe that in Lemma 9, x k and e k are determined by (30) and (31). Here, what we consider is their homogeneous parts (32) and (33).…”

Section: Proof Of Part (I)mentioning

confidence: 99%

Section: Problem 3 Analyze the Estimation Performance In Term Ofmentioning

confidence: 99%

See 3 more Smart Citations

Optimal Estimation and Control for Lossy Network: Stability, Convergence, and Performance

Lin

Shi

et al. 2017

IEEE Trans. Automat. Contr.

View full text Add to dashboard Cite

show abstract

Networked Control Systems

Liu,

Selivanov,

Fridman

2024

Wiley Encyclopedia of Electrical and Electronics Engineering

View full text Add to dashboard Cite

Networked control systems (NCSs) are spatially distributed systems in which the sensors, actuators, and controllers are connected through a shared communication network. The advantages of the network architectures include reduced system wiring, plug and play devices, increased system agility, and ease of system diagnosis and maintenance. Meanwhile, the presence of a communication network in a control loop induces many imperfections. Therefore, the analysis and synthesis of NCSs have received considerable attention in the last two decades. In this article, we review fundamental communication imperfections in NCSs and the main approaches to the modeling of NCSs. Then, recent results on time‐delay approach to event‐triggered control are recalled. The article highlights time‐delay approach developed to modeling, analysis and synthesis of NCSs, under communication constraints, with a particular focus on Round‐Robin, Try‐once‐discard, and stochastic protocols. The time‐delay approach allows communication delays to be larger than the sampling intervals in the presence of scheduling protocols. Moreover, some results on networked control of distributed parameter systems are introduced. Finally, some open problems are briefly addressed.

show abstract

Introduction

2023

Control Over Communication Networks

View full text Add to dashboard Cite

Optimal control of LTI systems over unreliable communication links

Cited by 516 publications

References 16 publications

Optimal Estimation and Control for Lossy Network: Stability, Convergence, and Performance

Optimal Estimation and Control for Lossy Network: Stability, Convergence, and Performance

Networked Control Systems

Introduction

Contact Info

Product

Resources

About