Lectures:
1. Introduction to the analysis of control systems. The mathematical background necessary for systems analysis.
2. The basic dynamic systems - Proportional, Integral , Derivative , the inertia, the second order, transport delay. Basic types of discrete systems. Proportional system. Summator, derivative system, inertia. The oscillating systems of the first and the second order.
3. Couplings between systems. Solving equations of continuous systems. The transition matrix. Generators input functions. Diagram of state variables. State-space and input/output description of the system. The state equation and transmission matrix. Transfer between state-space and input/output description. Frobenius and Jordan canonical form.
4. Solving equations of discrete systems . The transition matrix. Generator of input functions. Diagram of state variables. State-space representations of discrete systems. State-space and input/output description of the system. The state equation and transmission matrix. Frobenius and Jordan canonical form.
5. Context of continuous and discrete system description. Discretization of continuous systems. Frequency analysis of sampling. Zero-order and first order hold systems.
6. The feedback loop - a detailed description of the functionality. Block diagram, standard transfer function defined for the circuit.
7. Static and dynamic properties of the controllers.
8. Analysis of the feedback circuits in the time domain. Stability, static accuracy and control quality. Integral criteria of control quality. Criteria for controllability, reachability, observability and reconstructability. Analysis of continuous and discrete control systems in state space.
9. Analysis of feedback circuits in the frequency domain. Stability. Analysis using the frequency characteristics. Root locus method.
10. Nonlinear control systems.
11. Methods of identification of the systems. Experimental identification. Identification using deterministic signals. Identification using stochastic signals.
12. Methods for online identification of systems parameters. Solving problems by least squares method. OE models, ARX, ARMAX, and their use in the identification of system parameters
13. Case Study Part 1 - Analysis of educational physical models in the time and frequency domains - laboratory task.
14. Case Study Part 2 - Analysis of educational physical models in the time and frequency domains - laboratory task.
Exercises:
1. Getting acquainted with the outline of the course and with the laboratory. Safety training.
2. The basic dynamic systems and their static and dynamic properties, demonstration in Matlab and Simulink /Scilab.
3. The state-space description of continuous systems, demonstration in Matlab and Simulink /Scilab
4. The internal state description of discrete systems, in Matlab and Simulink /Scilab.
5. Context of continuous and discrete system description, demonstration in Matlab and Simulink /Scilab - laboratory task.
6. Feedback control circuit, demonstration in Matlab and Simulink /Scilab.
7. Static and dynamic characteristics of the controllers, demonstration in Matlab and Simulink /Scilab - laboratory task.
8. Analysis of the feedback circuits in the time domain.
9. Analysis of feedback circuits in the frequency domain.
10. Analysis of nonlinear control circuits.
11. Identification systems, demonstration in Matlab and Simulink /Scilab - laboratory task.
12. Working on projects - practical part of offline identification.
13. Working on projects - practical part of online identification.
14. Credits, project control.
Projects:
Each student gets assignment of one project to be processed by PC. Time consumption: appx. 10 hours. The title of the project: Analysis of continuous and discrete cascade and multidimensional control circuits, static and dynamic optimization.
1. Introduction to the analysis of control systems. The mathematical background necessary for systems analysis.
2. The basic dynamic systems - Proportional, Integral , Derivative , the inertia, the second order, transport delay. Basic types of discrete systems. Proportional system. Summator, derivative system, inertia. The oscillating systems of the first and the second order.
3. Couplings between systems. Solving equations of continuous systems. The transition matrix. Generators input functions. Diagram of state variables. State-space and input/output description of the system. The state equation and transmission matrix. Transfer between state-space and input/output description. Frobenius and Jordan canonical form.
4. Solving equations of discrete systems . The transition matrix. Generator of input functions. Diagram of state variables. State-space representations of discrete systems. State-space and input/output description of the system. The state equation and transmission matrix. Frobenius and Jordan canonical form.
5. Context of continuous and discrete system description. Discretization of continuous systems. Frequency analysis of sampling. Zero-order and first order hold systems.
6. The feedback loop - a detailed description of the functionality. Block diagram, standard transfer function defined for the circuit.
7. Static and dynamic properties of the controllers.
8. Analysis of the feedback circuits in the time domain. Stability, static accuracy and control quality. Integral criteria of control quality. Criteria for controllability, reachability, observability and reconstructability. Analysis of continuous and discrete control systems in state space.
9. Analysis of feedback circuits in the frequency domain. Stability. Analysis using the frequency characteristics. Root locus method.
10. Nonlinear control systems.
11. Methods of identification of the systems. Experimental identification. Identification using deterministic signals. Identification using stochastic signals.
12. Methods for online identification of systems parameters. Solving problems by least squares method. OE models, ARX, ARMAX, and their use in the identification of system parameters
13. Case Study Part 1 - Analysis of educational physical models in the time and frequency domains - laboratory task.
14. Case Study Part 2 - Analysis of educational physical models in the time and frequency domains - laboratory task.
Exercises:
1. Getting acquainted with the outline of the course and with the laboratory. Safety training.
2. The basic dynamic systems and their static and dynamic properties, demonstration in Matlab and Simulink /Scilab.
3. The state-space description of continuous systems, demonstration in Matlab and Simulink /Scilab
4. The internal state description of discrete systems, in Matlab and Simulink /Scilab.
5. Context of continuous and discrete system description, demonstration in Matlab and Simulink /Scilab - laboratory task.
6. Feedback control circuit, demonstration in Matlab and Simulink /Scilab.
7. Static and dynamic characteristics of the controllers, demonstration in Matlab and Simulink /Scilab - laboratory task.
8. Analysis of the feedback circuits in the time domain.
9. Analysis of feedback circuits in the frequency domain.
10. Analysis of nonlinear control circuits.
11. Identification systems, demonstration in Matlab and Simulink /Scilab - laboratory task.
12. Working on projects - practical part of offline identification.
13. Working on projects - practical part of online identification.
14. Credits, project control.
Projects:
Each student gets assignment of one project to be processed by PC. Time consumption: appx. 10 hours. The title of the project: Analysis of continuous and discrete cascade and multidimensional control circuits, static and dynamic optimization.