# An H/sub /spl infin// approach to networked control

@article{Seiler2005AnH,
title={An H/sub /spl infin// approach to networked control},
author={Peter J. Seiler and Raja Sengupta},
journal={IEEE Transactions on Automatic Control},
year={2005},
volume={50},
pages={356-364}
}
• Published 14 March 2005
• Mathematics
• IEEE Transactions on Automatic Control
In this paper, we study the effect of a network in the feedback loop of a control system. We use a stochastic packet-loss model for the network and note that results for discrete-time linear systems with Markovian jumping parameters can be applied. We measure performance using an H/sub /spl infin// norm and compute this norm via a necessary and sufficient matrix inequality condition. We also derive necessary and sufficient linear matrix inequality (LMI) conditions for the synthesis of the H/sub…
692 Citations

## Figures from this paper

### H&#8734;Control of Three-tank System Over Networks with Packet Dropout

• Mathematics
2006 6th World Congress on Intelligent Control and Automation
• 2006
In this paper we study the effect of networks with packet dropout in the feedback loop of a control system. The networked control system with data packets loss is modelled as a discrete-time Markov

### Feedback control through networks with packet loss: mixed H2/H∞ approach and application to a teleoperating system

• Computer Science
2007 IEEE International Conference on Control Applications
• 2007
This work considers a networked control system that utilizes unreliable channels where packets may be lost and proposes a mixed H2/H∞ control approach for synthesis of a controller that depends on the information regarding the losses.

### On separation principle for a class of networked control systems

• Mathematics
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
• 2009
This work first proposes and proves a separation principle for the general class of NCSs where packet dropouts in the C/A and S/C channels are governed by two independent Markov chains, respectively, and derives necessary and sufficient conditions, in terms of linear matrix inequalities, for synthesis of stabilisation control.

### Control over lossy networks: A dynamic game approach

• Mathematics
2014 American Control Conference
• 2014
This paper provides necessary and sufficient conditions in terms of the packet loss rates and the H∞ disturbance attenuation parameter under which the minimax controller exists and is able to stabilize the closed-loop system in the mean-square sense.

### Modeling and analysis of quantized feedback of networked control system

• Mathematics
Proceedings of the 29th Chinese Control Conference
• 2010
This paper studies the problem of stability for a class of networked control systems with the aperiodic transmission delays and the quantization errors. Under the assumptions that the system works

### On the design of control systems over unreliable channels

• Mathematics
2009 European Control Conference (ECC)
• 2009
This paper extends known results to show that there exists a second order moments equivalence between the situation examined and an auxiliary feedback loop and establishes a necessary and sufficient condition on the successful transmission probability that allows for the design of a controller that guarantees MSS in the considered setup.

### $H_\infty$-Filter Design for a Class of Networked Control Systems Via T–S Fuzzy-Model Approach

• Mathematics
IEEE Transactions on Fuzzy Systems
• 2010
This paper is concerned with H ∞-design for a class of networked control systems (NCSs) with multiple state-delays via the Takagi-Sugeno (T-S) fuzzy model, such that the filtering-error dynamics are stochastically stable, and a prescribed H∞ attenuation level is guaranteed.

### Separation principle for networked control systems with multiple-packet transmission

• Mathematics
• 2011
The authors investigate a class of observer-based discrete-time networked control systems (NCSs) with multiple-packet transmission where random packet dropouts occur independently in both the

## References

SHOWING 1-10 OF 64 REFERENCES

### /spl mu/-synthesis for distributed control systems with network-induced delays

• Computer Science, Engineering
Proceedings of 35th IEEE Conference on Decision and Control
• 1996
This paper presents the use of H/sub /spl infin//-control theory and the /spl mu/-synthesis approach for distributed control systems incorporating a digital controller and a continuous system,

### Mixed H2/H∞-control of discrete-time Markovian jump linear systems

• Mathematics
IEEE Trans. Autom. Control.
• 1998
This paper considers the mixed H/sub 2//H/sub /spl infin//-control problem for the class of discrete-time linear systems with parameters subject to Markovian jump linear systems, and presents an approximate version of these problems via linear matrix inequality optimization.

### Analysis of communication losses in vehicle control problems

• Mathematics
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148)
• 2001
A linear matrix inequality (LMI) condition is developed for the existence of a stabilizing dynamic output feedback controller and can be used not only to design controllers but also to give a 'worst-case' performance specification for an acceptable communications system.

### Output feedback control of Markov jump linear systems in continuous-time

• Mathematics
IEEE Trans. Autom. Control.
• 2000
This paper addresses the dynamic output feedback control problem of continuous-time Markovian jump linear systems with an LMI characterization, comprising all dynamical compensators that stabilize the closed-loop system in the mean square sense.

### /spl Hscr//sub /spl infin// filtering for discrete-time linear systems with Markovian jumping parameters

• Mathematics
Proceedings of the 36th IEEE Conference on Decision and Control
• 1997
This paper investigates the problem of /spl Hscr//sub /spl infin// filtering for discrete-time linear systems with Markovian jumping parameters. It is assumed that the jumping parameter is available.

### Mixed / -Control of Discrete-Time Markovian Jump Linear Systems

• Mathematics
• 1998
In this paper we consider the mixed / -control problem for the class of discrete-time linear systems with parameters subject to Markovian jump linear systems (MJLS's). It is assumed that both the

### MIXED H 2 / H ~ CONTROL OF DISCRETE-TIME MARKOVIAN JUMP LINEAR SYSTEMS *

In this paper we consider the mixed Hz/H~-control problem for the class of discrete-time linear systems with parameters subject to Markovian jumps (MJLS). It is assumed that both the state variable

### Control with random communication delays via a discrete-time jump system approach

• Mathematics, Computer Science
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)
• 2000
This work presents a V-K iteration algorithm to design switching and non-switching controllers for digital control systems with random but bounded delays in the feedback loop, with the transition jumps being modeled as finite-state Markov chains.

### Asymptotic behavior of nonlinear networked control systems

• Mathematics, Computer Science
IEEE Trans. Autom. Control.
• 2001
This two-step design approach includes using standard control methodologies and choosing the network protocol and bandwidth in order to ensure important closed-loop properties are preserved when a computer network is inserted into the feedback loop.

### Optimal control of systems over a communication network with queues via a jump system approach

• Mathematics
Proceedings of International Conference on Control Applications
• 1995
This paper proposes a non-switching control scheme for the systems with a communication network and queues, using the jump system approach, to solve the problem of induced random delays caused by the network.