Control systems toolbox

This tutorial introduees the reader to time domain analysis using MATLAB. It uses eommands from the Control System Toolbox. A list of the eommands ean be found using... 

SIMULINK The Control System Toolbox does not possess a ramp eommand, but the ramp response of a first-order system (Example 3.6, Figure 3.15) ean be obtained using SIMULINK, whieh is an easy to use Graphieal User Interfaee (GUI). SIMULINK allows a bloek diagram representation of a eontrol system to be eonstrueted and real-time simulations performed. 

This tutorial uses the MATLAB Control System Toolbox for linear quadratie regulator, linear quadratie estimator (Kalman filter) and linear quadratie Gaussian eontrol system design. The tutorial also employs the Robust Control Toolbox for multivariable robust eontrol system design. Problems in Chapter 9 are used as design examples. 

For each session, we put the most important functions in a table for easy reference or review. The first one is on the basic commands and plotting. Try the commands as you read. You do not have to enter any text after the "%" sign. Any text behind a "%" is considered a comment and is ignored. We will save some paper and omit the results generated by MATLAB. If you need to see that for help, they are provided on our Web Support. There is also where we post any new MATLAB changes and upgrades. Features in our tutorial sessions are based on MATLAB Version 6.1, and Control System Toolbox 5.1. 

The computer-generated transfer function for the voltage across the capacitor crosses two different energy domains without separation since the model is all together. The transfer function is obtained in one step in symbolic form. CAMPG generated the code for the A, B, C, D matrices which are displayed in MATLAB. Any other transfer function for the efforts and flow output variables can be obtained. More details are presented in [11]. At this point, the computer-generated model becomes so versatile that all the linear control theory operations implemented in the MATLAB Control Systems Toolbox can be used on the entire mechatronics model. 

Frederick D., Chow J. Feedback Control Problems. Using MATIAB and the Control Systems Toolbox". PWS Publishing, Boston, MA, 1995. 

Cavallo A., Setola R., and Vasca F. Using MATIAB, SIMULINK and Control System Toolbox." Prentice Hall, New York, NY, 1996. 

For carrying out Step 3, any parametrical optimization numerical method can be used. The optimization procedure (Agranovich, 2004) is realized using MATLAB functions dlqry , Kalman (Control System Toolbox) and finincon (Optimization Toolbox). 

Fig. 26.8 Hierarchy of consecutive control measures to control and minimise the risk associated with the hazard and the exposure, adapted from Quality Systems Toolbox, software and services for quality management www.quaiitysystems.com, with permission...

In this section, we test our contribution with the Flight Control System case study. We apply our transformation rules on the given AADL model to obtain an LNT specification which can be compiled and checked with CADP toolbox. 

For advanced techniques in modeling, identification, and control, MATLAB has a variety of additional toolboxes that are licensed individually. Relevant toolboxes for process control include control system, fuzzy logic, system identification, model predictive control, neural networks, optimization, partial differential equations, robust control, and statistics. 

Research users need full access to the functional elements of the spectrometer system and require the most efficient and flexible tools for MR sequence and application development. If the measurement methods delivered with the software do not adequately address the specific investigational requirements of a research team, modem NMR software is an open architecture for implementing new and more sophisticated functionality, with full direct access to all hardware controlling parameters. After evaluation, the new functionality can be developed with the help of toolbox functions that allow rapid prototyping and final builds, to enable the new sequence to be executed by non-experienced personnel and then used in routine applications. These toolboxes provide application oriented definitions and connect to standard mechanisms and routine interfaces, such as the geometry editor, configuration parameters or spectrometer adjustments. 

The second set-up concept from Microinnova, the Lab Experiment Toolbox , has some minor differences from the first concept. It was designed to speed up process development and reduce the time to market of chemicals or compounding products (Figure 4.25) [77]. A modular toolbox has been developed for laboratory-scale experiments. Small tube connections are used to connect various unit operation devices to each other. Process control and user interface are based on Fieldpoint and LabView or Microinnova Process Control. The integration of the sensors into the system is different to the previous concept. The Fieldpoint unit has a front panel, where sensors can be added on a plug-and-play basis. All experimental data are stored in spreadsheets, which can be transferred to common spreadsheet... 

The AR model and the variance of e k) can be estimated from an incontrol data set using software such as Matlab System Identification Toolbox [191]. A standard x-chart is designed using control limits at 3 standard deviations (3(t limits) to monitor the residuals j k) and consequently Jhistit). 

The MATLAB Control Toolbox makes it quite easy to generate frequency response plots for both openloop and closedloop systems. Table 11.3 gives a MATLAB program that generates Bode plots and Nichols plots. The process example is the three-heated-tank system with the openloop transfer function... 

Copolymerization of caprolactone with epoxides opens a wide range of various functionalities that can be accessed. These functional epoxides can be based on substituted epichlorohydrin [63] or on other molecules. In our laboratory, we recently presented an epoxide system based on 2-methyl-4-pentenoic acid, which is esterified in a first step with a desired functional moiety and then epoxidized to obtain a functional epoxide that is compatible with caprolactone copolymerization [44,62], This toolbox approach allows for the functionalization with different functional moieties on demand. One advantage of these statistical copolymers is that the copolymer composition can be controlled by the reactivity of the monomers, and therefore, defined copolymers can be obtained (Figure 9.7). 

---