Control Systems with Matlab. Control Design

Control System Toolbox software includes several commands for extracting model coefficient such as transfer function numerator and denominator coefficients state-space matrices, and proportional-integral-derivative (PID) gains. When you use a data extraction command on a model of a different type, the software computes the coefficient of the target model type.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 or a controller. Using model arithmetic or interconnection commands, you combine models of each of these components into a single model representing the entire block diagram. Each type of block diagram connection corresponds to a model interconnection command or arithmetic expression. The following tables summarize the block diagram connections with the corresponding interconnection command and arithmetic expression. When you interconnect models, the operation and the properties of the models you are connecting determine the resulting model's properties.You can explicitly convert a model from one representation to another using the model-creation command for the target model type. For example, convert to state-space representation using ss, and convert to parallel-form PID using pid. For information about converting to a particular model type, see the reference page for that model type. In general, you can convert from any model type to any other. However, there are a few limitations.PID Tuner provides a fast and widely applicable single-loop PID tuning method for the Simulink PID Controller blocks. With this method, you can tune PID controller parameters to achieve a robust design with the desired response time. A typical design workflow with the PID Tuner involves the following tasks: (1) Launch the PID Tuner. When launching, the software automatically computes a linear plant model from the Simulink model and designs an initial controller.(2) Tune the controller in the PID Tuner by manually adjusting design criteria in two design modes. The tuner computes PID parameters that robustly stabilize the system.(3) Export the parameters of the designed controller back to the PID Controller block and verify controller performance in Simulink.When the PID Tuner launches, the software computes a linearized plant model seen by the controller. The software automatically identified the plant input and output, and uses the current operating point for the linearization. The plant can have any order and can have time delays. The PID Tuner computes an initial PI controller to achieve a reasonable trade of between performance and robustness. By default, step reference tracking performance displays in the plot.Control System Toolbox provides several approaches to tuning control systems. Using Control System Designer, you can tune compensators using various graphical and automated tuning methods. Use graphical tuning methods to interactively add, modify, and remove controller poles, zeros, and gains. When using graphical tuning, you can modify the compensator either directly from the editor plots or using the compensator editor. A common design approach is to roughly tune your compensator using the editor plots, and then use the compensator editor to fine-tun the compensator parameters. The graphical tuning methods are not mutually exclusive. For example, you can tune your compensator using both the Bode editor and root locus editor simultaneously. This option is useful when designing to both time-domain and frequency-domain specifications