Series, parallel, and feedback connections; block diagram building
Interconnecting models of components allows you to construct models of control systems. You can conceptualize your control system as a block diagram containing multiple interconnected components, such as a plant and a controller connected in a feedback configuration. Using model arithmetic or interconnection commands, you combine models of each of these components into a single model representing the entire block diagram.
|Feedback connection of multiple models|
|Block diagram interconnections of dynamic systems|
|Summing junction for name-based interconnections|
|Series connection of two models|
|Parallel connection of two models|
|Group models by appending their inputs and outputs|
|Block-diagonal concatenation of models|
|Convert implicit linear relationship to explicit input-output relation|
|Invert dynamic system models|
|Conjugate dynamic system model|
|Generalized feedback interconnection of two models (Redheffer star product)|
|Options for the |
Model Interconnection Basics
- Why Interconnect Models?
Interconnecting models of system components allows you to construct models of control systems.
- Connecting Models
This example shows how to model interconnections of LTI systems, from simple series and parallel connections to complex block diagrams.
- Numeric Model of SISO Feedback Loop
Interconnect numeric LTI models to build a single model of a closed-loop system.
- Control System Model with Both Numeric and Tunable Components
Interconnect fixed components and tunable components to build a tunable control system model.
- Multi-Loop Control System
Build arbitrary block diagrams with any number of control loops by interconnecting models using the connect command.
- MIMO Control System
Build a MIMO control system with both fixed and tunable components.
- MIMO Feedback Loop
Obtain the closed-loop response of a MIMO feedback loop three different ways.
- Using FEEDBACK to Close Feedback Loops
This example shows why you should always use FEEDBACK to close feedback loops.
- Mark Analysis Points in Closed-Loop Models
Insert analysis points at locations of interest when you build control system models. Use analysis points for extracting system responses from the model.
- Control System with Multichannel Analysis Points
Build a control-system model with analysis points for extracting responses at different points in the system.
More About Model Interconnections
- Catalog of Model Interconnections
Block diagram connections correspond to model interconnection commands or arithmetic expressions.
- How the Software Determines Properties of Connected Models
When you interconnect models, the resulting model’s properties depend on the properties of the models you are connecting.
- Rules That Determine Model Type
Precedence rules determine the resulting model type when you interconnect models of different types.
- Recommended Model Type for Building Block Diagrams
Choice of model type can affect numerical accuracy when you interconnect models.
- Preventing State Duplication in System Interconnections
This example shows guidelines for building minimum-order models of LTI system interconnections.