Fundamental Limitations in Filtering and Control

Serón, María M.; Goodwin, Graham C.; Braslavsky, Julio H.

doi:10.1007/978-1-4471-0965-5

Cited by 471 publications

(422 citation statements)

References 89 publications

Supporting

Mentioning

396

Contrasting

Unclassified

Order By: Relevance

“…If this is not the case, then the effect of a right half-plane zero may be distributed between both outputs. See [30] …”

Section: B Zero Directionmentioning

confidence: 99%

“…Several new results, particularly for scalar and multivariable linear systems, have been presented. Bode's original result together with extensions are covered in the textbooks [10], [30]. Zames and Francis [9], [36], [38] showed that right half-plane zeros impose restrictions on the sensitivity function: if the sensitivity is forced to be small in one frequency band, it has to be large in another, possibly yielding an overall bad performance.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The quadruple-tank process: a multivariable laboratory process with an adjustable zero

Johansson

2000

IEEE Trans. Contr. Syst. Technol.

895

558

View full text Add to dashboard Cite

Abstract-A novel multivariable laboratory process that consists of four interconnected water tanks is presented. The linearized dynamics of the system have a multivariable zero that is possible to move along the real axis by changing a valve. The zero can be placed in both the left and the right half-plane. In this way the quadruple-tank process is ideal for illustrating many concepts in multivariable control, particularly performance limitations due to multivariable right half-plane zeros. The location and the direction of the zero have an appealing physical interpretation. Accurate models are derived from both physical and experimental data and decentralized control is demonstrated on the process.

show abstract

“…If this is not the case, then the effect of a right half-plane zero may be distributed between both outputs. See [30] …”

Section: B Zero Directionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The quadruple-tank process: a multivariable laboratory process with an adjustable zero

Johansson

2000

IEEE Trans. Contr. Syst. Technol.

895

558

View full text Add to dashboard Cite

show abstract

“…For a linear time invariant (LTI) plant it is well understood that its unstable poles, non minimum phase (NMP) zeros and time-delay will cause unavoidable limitations in performance (see for example Seron et al (1997) and references therein). In more recent years, the study of fundamental limitations has been extended to problems of control over communication channels and has attracted growing interest (see for example Antsaklis and Baillieul (2004) and the recent survey by Nair et al (2007)).…”

Section: Introductionmentioning

confidence: 99%

Fundamental limitations in control over a communication channel

Rojas¹,

Braslavsky²,

Middleton

2008

Automatica

Self Cite

View full text Add to dashboard Cite

Fundamental limitations in feedback control is a well established area of research. In recent years it has been extended to the study of limitations imposed by the consideration of a communication channel in the control loop. Previous results characterised these limitations in terms of a minimal data transmission rate necessary for stabilisation. In this paper a signal-to-noise ratio (SNR) approach is used to obtain a tight condition for the linear time invariant output feedback stabilisation of a continuous-time, unstable, non minimum phase (NMP) plant with time-delay over an additive Gaussian coloured noise communication channel. By working on a linear setting the infimal SNR for stabilisability is defined as the infimal achievable H 2 norm between the channel noise input and the channel signal input. The result gives a guideline in estimating the severity of the fundamental SNR limitation imposed by the plant unstable poles, NMP zeros, time-delay as well as the channel NMP zeros, bandwidth, and channel noise colouring.

show abstract

“…However, it is well-known that many linear control loops suffer from certain inherent performance trade-offs such as the waterbed effect [3,4]: an increase of low-frequency (below the bandwidth) disturbance suppression automatically yields an increase of noise amplification at high frequencies (above the bandwidth). Given this trade-off, linear motion controllers are designed to balance between low-frequency tracking and sensitivity to high-frequency disturbances.…”

Section: Introductionmentioning

confidence: 99%