Models in Control and Monitoring Systems Design

The course is not on the list Without time-table
Code Completion Credits Range
W37A002 ZK 5P+0C
Garant předmětu:
Department of Instrumentation and Control Engineering

The course provides a self-consistent presentation of theoretical knowledge necessary to master the model based design approaches to the both continuous and discrete advanced control strategies. The plant model inversion, the internal model principle, controller parameterization and feedback stabilization are the main principles used in the design approaches. Basically the course is based on the linear models, including the time delay models, basic approaches to the nonlinear plant control are also included. The issues of model uncertainties and the control robustness as well as the feasibility aspects are followed throughout the course.


To master the basic methods of applying the models of the controlled plant in the design of advanced control structures. Particuarly the algebraic approaches to form the transform models are trained, where not only algebraic but also meromorphic models are applied. An individual project of control application belongs to the course programme.

Prerequisites by topic: matrix algebra, Laplace and Z transforms

Syllabus of lectures:

1. Plant model - the primary knowledge determining potentials and limits of control. The high-gain feedback and the nominal-model inversion in control. Open and closed-loop control schemes.

2. Nominal sensitivity functions of a SISO feedback control loop and the requirements on their properties. Disturbance rejection and steady state error.

3. State space descriptions of both the continuous and discrete control systems and their canonical forms. System controllability and observability issues.

4. Similarity transformations of state space models, controllable and observable canonical forms.

5. Control synthesis via state space methods, pole assignment by state feedback.

6. Discrete approximation of sampled continuous systems, discrete transfer function and state space description. Frequency response of sampled data system.

7. Control synthesis using the affine parameterization of controller feedback, pole-zero cancellation. Diofantine equation approach.

8. Time delays in control systems - from polynomial to quasi-polynomial models. Infinite spectrum of quasi-polynomial zeros.

9. State observer design, full-order and reduced-order observer structures. Observers in state feedback control and in fault detection.

10. Introduction to nonlinear control, generalized feedback linearization.

11. Multi-input-multi-output (MIMO) scheme of control. Transfer function matrices and state space description.

12. Potentials of extending the control design approaches from SISO to MIMO schemes.

Syllabus of tutorials:


Study Objective:

see lectures

Study materials:

Ogata K.: Modern Control Engineering. Prentice-Hall, Inc. Englewood Cliffs,N. Jersey, 1990.

Goodwin G.C., Graebe S.F. and Salgado M.E.: Control System Design Prentic-Hall, Inc., Upper Saddle River, New Jersey, 2001

Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2024-06-22
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