455-0024/01 – Control Systems II. (RIS2)

Gurantor departmentDepartment of Measurement and ControlCredits4
Subject guarantorIng. Hana Soušková, Ph.D.Subject version guarantorIng. Hana Soušková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year3Semestersummer
Study languageCzech
Year of introduction1992/1993Year of cancellation2008/2009
Intended for the facultiesFEIIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
SOU75 Ing. Hana Soušková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The main goal of the subject is to increase theoretical knowledge in theory of automatic control in sequence to Control system I course. Graduates of this subject receive a summary of modern methods of state control, of discrete control circuit synthesis, graduates to increase her knowledge of classical control of MIMO systems, forked circuit and non-linear systems. Graduates of this subject receive a summary of modern methods of state control, of discrete control circuit synthesis, graduates to increase her knowledge of classical control of MIMO systems, forked circuit and non-linear systems.

Teaching methods

Summary

The main goal of the subject is to increase theoretical knowledge in theory of automatic control in sequence to Control system I course. Graduates of this subject receive a summary of modern methods of state control, of discrete control circuit synthesis, graduates to increase her knowledge of classical control of MIMO systems, forked circuit and non-linear systems. The subject connects with the course Control systems I. Problems of forked circuit , MIMO systems, state control - Method of modern design of state compensators extend theoretical knowledge about classical control including synthesis of discrete systems and introduction to nonlinear systems.

Compulsory literature:

Recommended literature:

Way of continuous check of knowledge in the course of semester

Verification of study: Test1 - max. 10 points Test2 - max. 10 points Half-zear work - max.10 points Conditions for credit: 80% participation Fulfilment of tests and half-year work

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Control and its history. Methods of control system design : quadratic criterion and optimum module criterion Transfer delay , control systems with transfer delay . Discrete-time control systems, its use. Z-transformation : definition, base records, differential equations. Modified Z-transformation. Structure of discrete control circuit. Holding elements, sampling elements, block-diagram algebra of discrete systems, transfer function of continuous part of discrete-time systems. Transfer function of systems with transfer delay. Discrete transfer function properties of feedback systems. Stability of discrete systems. Algebraic stability criterion. Discrete-time control systems design, control with zero steady error and limited member of step of regulation. PSD controllers. Systems with two controllers. Control systems design in state-space. Mathematical model design. Controllability and observability. Dynamic properties of systems, steady states. Transformation of variables, state-space equations calculation, block-diagram algebra, control-like transformation of system. Stability. State feedback , zeros and poles replacement, Riccati controller, observer. Linear SISO forked control systems. MIMO control systems. Stability of MIMO systems, autonomous and invariable systems, synthesis. Non-linear control circuit. Elements of non-linear control system. Stability of non-linear control systems. Limit cycle, steady state, Ljapunov theory. Equivalent transfers method, Popov criterion. Static and dynamic optimization. Exercises: Comparing of design methods. Introductions to practice, class ticket requirements. Test No. 1 : Discrete-time systems. Exercises : MIMO control systems . Test No. 2 : MIMO control systems . Steady states computations, example of use of Ljapunov theory. Exercises : Equivalent transfers method. Computer labs: Control systems design using quadratic criterion and optimum module criterion. PC verification. Design of control systems with transfer delay, PC simulation. Homework No.1 : Compensator design using quadratic criterion and optimum module criterion. Z-transformation- examples, sampling rate determination, block-diagram algebra. PC simulation. Computation of transfer function of continuous part of time-discrete control systems. PC verification. Exercises : discrete-time systems stability, PC simulation. Discrete-time linear control systems design : limited member of step of regulation. PC simulation. Homework No.2 : Discrete control system design. Exercises : Controllability and observability. State-space feedback design. PC Simulation State-space controller parameters computation. Riccati controller design using PC.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 0
                Laboratory work Laboratory work 10  0
                Written exam Written test 20  0
        Examination Examination 70 (70) 0
                Written examination Written examination 50  0
                Oral Oral examination 20  0
Mandatory attendence parzicipation:

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