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Linéarisation et caractérisation des points de fonctionnement

Trouver un point de fonctionnement et linéariser le modèle pour étudier la réponse et la stabilité du système

Le fait de déterminer comment un système réagit à de faibles perturbations à un point de fonctionnement est une étape cruciale du design de systèmes et de contrôleurs. Une fois que vous avez trouvé un point de fonctionnement, vous pouvez linéariser le modèle autour de ce point pour étudier la réponse et la stabilité du système.

Fonctions

simscape.findNonlinearBlocks Check model for blocks with nonlinear equations

Rubriques

Finding an Operating Point
Describes how to find and manage operating points in Simscape™ models by trimming and other methods.
Linearizing at an Operating Point
Describes how to linearize Simscape models at specified operating points or times.
Linearize an Electronic Circuit
Example showing how to linearize a model and create a Bode plot for small-signal frequency-domain analysis. Depending on the software you have available, use the appropriate sections of this example to explore various linearization and analysis techniques.
Linearize a Plant Model for Use in Feedback Control Design
Example showing how to linearize a model to support control system stability analysis and design. Depending on the software you have available, use the appropriate sections of this example to explore various linearization and analysis techniques.

Exemples présentés

Nonlinear Bipolar Transistor

An implementation of a nonlinear bipolar transistor based on the Ebers-Moll equivalent circuit. R1 and R2 set the nominal operating point, and the small signal gain is approximately set by the ratio R3/R4. The 1uF decoupling capacitors have been chosen to present negligible impedance at 1KHz. The model is configured for linearization so that a frequency response can be generated.

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Hydraulic Actuator with Digital Position Controller

A two-way valve acting in a closed-loop circuit together with a double-acting cylinder implemented in the isothermal liquid domain. The controller is represented as a continuous-time transfer function plus a transport delay. The delay allows for the computational time (one discrete time period) plus the zero-order hold (half a discrete time period) when implemented in discrete time. The model is configured for linearization so that a frequency response can be generated. To configure for faster desktop simulation, comment through the transport delay and increase the solver maximum step size.

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