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First, the networked control system is modeled as a multiple-input-multiple-output (MIMO) discrete-time system with transfer delays, process noise, and model uncertainties.
For example, as is mentioned in [9] of page 4, the system with transfer function ({G_{k}}(s) = frac{1}{{{(s + 1)}^{k}}(s + 1 + s{e^{ - s}})}) is bounded-input-bounded-output stable for (k ge4), even though ({G_{k}}) has a sequence of poles asymptotic to the imaginary axis.
Denaturing was done at 95°C for 5 min and was followed by electrophoresis at 100 V for 1 h and 50 min. The separated proteins were transferred to a Polyvinylidene fluoride membrane (0.45 µm) in a tank transfer system with transfer buffer (25 mM Tris(hydroxymethyl -aminomethan (Tris), 192 mM glycine, 20% methydroxymethyl -aminomethan V for 2 h.
When presented with a sinusoidal input with frequency ω, a receptor system with transfer function G(s) transduces the input to a steady-state output with an amplitude ratio AR and a phase lag ϕ.
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This paper proposes a new method using internal model control (IMC) to design Smith delay compensation decoupling controller for multivariable non-square systems with transfer function elements consisting of first order + time delay.
Corollary 1 Consider the unblocked system (1) with transfer function W (z ) and the blocked system (4) with transfer function V (Z ) = D b + C b (Z I − A b ) − 1 B b, where A b, B b, C b, D b are defined by (5).
Theorem 2 Consider the unblocked system (1) with transfer function W (z ) and the blocked system (4) with transfer function V (Z ) = D b + C b (Z I − A b ) − 1 B b, where A b, B b, C b, D b are defined by (5).
Under Assumption 1 and assuming that (A, B, C, D ) is minimal, then V (Z ) has a zero at Z = 0 if and only if W (z ) has a zero at z = 0. Consider the unblocked system (1) with transfer function W (z ) and the blocked system (4) with transfer function V (Z ) = D b + C b (Z I − A b ) − 1 B b, where A b, B b, C b, D b are defined by (5).
Theorem 1 Consider the unblocked system (1) with transfer function W (z ) given by (2) and the blocked system (4) with transfer function V (Z ) = D b + C b (Z I − A b ) − 1 B b, where A b, B b, C b, D b are defined by (5).
In this paper, a method of fault estimation and fault tolerant control for networked control system (NCS) with transfer delay and process noise is presented.
The system with optimal transfer function has an optimal performance.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com