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}
}
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… 

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References

SHOWING 1-10 OF 64 REFERENCES

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

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

TLDR
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

  • P. SeilerR. Sengupta
  • Mathematics
    Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148)
  • 2001
TLDR
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

TLDR
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

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

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

  • Lin XiaoA. HassibiJ. How
  • Mathematics, Computer Science
    Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)
  • 2000
TLDR
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

TLDR
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

  • H. ChanU. Ozguner
  • Mathematics
    Proceedings of International Conference on Control Applications
  • 1995
TLDR
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.
...