CONTROLS SYSTEMS3-SET2-VIDEO ACCESS
CONTROL SYSTEMS 3 – SET2
Control Systems covers modelling in the frequency and time domain, time and frequency response, reduction of multiple subsystems, stability, controller design via root locus, controller design via frequency response and controller design via state space.
Topics include transfer-function and state-space modelling of electrical/mechatronic plants, time- and frequency-domain stability and performance analysis, classical and modern controller design, digital control, real-time implementation, and practical issues (sensors, actuators, noise, saturation). Students learn to design controllers that meet specifications (stability, transient response, disturbance rejection, robustness) and implement them on microcontrollers/FPGA/embedded platforms. Electrical and electronic engineers need knowledge of control-systems because modern electrical systems require precise, reliable regulation, coordination and real‑time decision making.
Set 2 Topics
1. Transient response stability
1.1 Routh-Hurwitz Criterion
1.2 Generating a Basic Routh Table
1.3 Interpreting the Basic Routh Table
2. Routh-Hurwitz Criterion: Special Cases
2.1 Zero only in the first column
2.2 Entire row of zeros
2.3 Stability in State Space
3. Forced Response Errors
3.1 Definition and Test Inputs
3.2 Steady-State Error for Unity Feedback Systems
3.3 Steady-State Error in terms of T(s)
3.4 Steady-State Error in Terms of G(s)
3.5 Static Error Constants and System Type
3.6 Steady-State Error Specifications
3.7 Gain Design to Meet a Steady-State Error Specification
3.8 Steady-State Error for Disturbances
3.9 Steady-State Error for Systems in State Space
3.9.1 Analysis via Final Value Theorem
3.9.2 Input substitution method
4. Root Locus
4.1 Properties of the Root Locus
4.2 Sketching the root locus
4.3 Refining the root locus sketch
4.4 Angles of Departure and Arrival
4.5 Second order dominance approximation
4.6 Generalised root locus
4.7 Root Locus for Positive-Feedback Systems
5. Design via Root Locus
5.1 Improving Steady-State Error via Lag Compensation
5.2 Improving Transient Response via Lead Compensation
5.3 Typical Design procedure
5.4 Lead-Lag compensator
5.5 PID controller
6. Frequency Response Techniques
6.1 Bode Plots
6.2 Nyquist Criterion
6.3 Sketching the Nyquist Diagram
6.4 Stability via the Nyquist Diagram
6.5 Gain Margin and Phase Margin via the Nyquist Diagram
6.6 Stability, Gain Margin and Phase Margin via the Bode Plot
6.7 Evaluating Gain and Phase Margins
6.8 Relation between Closed-Loop Transient and Closed-Loop Frequency Responses
6.9 Response Speed and Closed-Loop Frequency Response
6.10 Relation between Closed-Loop Transient and Open-Loop Frequency Responses
6.11 Steady-State Error Characteristics from Frequency Response
6.12 Systems with Time Delays
6.13 Obtaining Transfer Functions