Subject: Control
Scientific area:
Electrotechnics
Contact hours:
64 Hours
Number of ECTS:
6 ECTS
Language:
Portuguese
General Objectives:
1 - To understand the concepts related to the fundamentals of control theory.
2 - To understand the process of modelling systems using mathematical equations.
3 - To apply transforms to systems analysis in the time or frequency domain, considering the criteria and methods for stability analysis.
4 - To understand the process of system compensation.
5 - To introduce Matlab Simulink and Matlab for system simulation.
2 - To understand the process of modelling systems using mathematical equations.
3 - To apply transforms to systems analysis in the time or frequency domain, considering the criteria and methods for stability analysis.
4 - To understand the process of system compensation.
5 - To introduce Matlab Simulink and Matlab for system simulation.
Contents / Syllabus:
1 - Mathematical models of physical systems: differential equations of physical systems; block diagrams; signal-flow graph models.
2 - State variable models: the state differential equation; exponential matrix; signal-flow graph and block diagram models; the transfer function from the state equation.
3 - Feedback control systems: sensitivity of the control system to parameter variations; control of the transient response; steady-state error.
4 - Time domain analysis; transient analysis for 1st and 2nd order; effects of more poles and zeros; steady-state error coefficients.
5 - Stability of linear systems: Routh-Hurwitz stability criterion; relative stability.
6 - The Root Locus method: construction of the root locus graph; PID controllers; tuning methods of the controller parameters.
7 - Frequency response methods: response to sinusoidal inputs; polar plot; Bode plots; transfer function from Bode plots.
8 - Stability in the frequency domain: Nyquist criterion; gain margin and phase margin.
9 - Cascade design of control systems: Phase-lead design using the Bode diagrams; phase-lead design using the root locus; phase-lag design using the root locus; phase-lag design using the Bode diagram.
2 - State variable models: the state differential equation; exponential matrix; signal-flow graph and block diagram models; the transfer function from the state equation.
3 - Feedback control systems: sensitivity of the control system to parameter variations; control of the transient response; steady-state error.
4 - Time domain analysis; transient analysis for 1st and 2nd order; effects of more poles and zeros; steady-state error coefficients.
5 - Stability of linear systems: Routh-Hurwitz stability criterion; relative stability.
6 - The Root Locus method: construction of the root locus graph; PID controllers; tuning methods of the controller parameters.
7 - Frequency response methods: response to sinusoidal inputs; polar plot; Bode plots; transfer function from Bode plots.
8 - Stability in the frequency domain: Nyquist criterion; gain margin and phase margin.
9 - Cascade design of control systems: Phase-lead design using the Bode diagrams; phase-lead design using the root locus; phase-lag design using the root locus; phase-lag design using the Bode diagram.
Bibliography / Information Sources:
Franklin, Powell and Naeimi , 1994 , Feedback Control of Dynamic Systems , Addison-Wesley
C. L. Philip and R. D. Harbor , 1996 , Feedback Control Systems , Prentice-Hall
Katsuhiko Ogata , 2002 , Modern Control Engineering , Prentice Hall
R. Dorf, R. Bishop , 2014 , Modern Control Systems , Pearson Education,
C. L. Philip and R. D. Harbor , 1996 , Feedback Control Systems , Prentice-Hall
Katsuhiko Ogata , 2002 , Modern Control Engineering , Prentice Hall
R. Dorf, R. Bishop , 2014 , Modern Control Systems , Pearson Education,
Assessment Methods and Criteria:
Classification Type: Quantitativa (0-20)
Evaluation Methodology:
- Lectures; - Problem-solving exercises; - Practical assignments. Evaluation: - 3 written tests, each worth 20% of the final grade; - 3 practical assignments, each worth 8% of the final grade; - 1 project worth 16% of the final grade.
Evaluation Methodology:
- Lectures; - Problem-solving exercises; - Practical assignments. Evaluation: - 3 written tests, each worth 20% of the final grade; - 3 practical assignments, each worth 8% of the final grade; - 1 project worth 16% of the final grade.