5 research outputs found
Fundamental Limitations in Control over a Communication Channel
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
H2 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
Fundamental Limitations in Control over a Communication Channel
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
H2 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
Fundamental limitations in control over a communication channel
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 Hâ‚‚ 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