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After the strict-feedback form is transformed into a cascade form, another relatively simple Lyapunov-based direct output feedback control is developed.
For a widely cited benchmark model, this paper reformulates the supercavitating vehicle model in a cascade form of subsystems to facilitate the application of the backstepping control design.
The key modifications introduced in the new design are the use of a change of coordinates and a partial linearization that transform the system into a cascade form, to which an adaptive energy-shaping controller is applied.
To overcome this problem a bottom-up methodology is proposed, which relies on the basic idea that the system configuration is certainly based on one or more thermodynamic cycles that may share some processes or be combined in a cascade form.
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To explain this concept, we use the example of a cascade formed by three sets of beads coated with elements similar to those used in deoxyribozyme-logic gates.
This filter is implemented with a cascaded form based on four second order cells.
However, when it is used in a cascaded form the step size can be increased enormously and this permits the forced response to be generated to satisfy resolution criteria rather than the more stringent criterion required for stability.
A key step for its application is the transformation of the system dynamics into a particular cascade form, which involves the solution of a partial differential equation that, moreover, should satisfy some injective requirement.
The two filters combined in cascade form a bandpass filter.
A linear reaction cascade forms a simple type of system.
Dendrimers can be synthesized to have neutral, cationic, 22) or anionic(24) groups in a cascade polymer form, enabling facile regulation of a number of functional groups, size, and charge.
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