**1. **Students will be able to comprehend mathematical modeling and systems concepts

**Specific outcomes of instruction**

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- Understand the relationship between a physical system and its mathematical model.

- Write the differential equations describing the behavior of simple mechanical and electrical systems.

- Find the transfer function representation of simple mechanical and electrical systems.

- Find the state-space representation of simple mechanical and electrical systems.

- Understand the relationships between different system representations for a single system.

2. Students will be able to understand the relationship between the response of a system and its mathematical model.

**Specific outcomes of instruction**

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- Learn the typical input and response types used to characterize control systems

- Understand the behavior of first, second and higher order systems for standard

- Learn important performance measures used to characterize control systems

- Understand the relationship between the parameters of the systems and the transient response of the systems

- Understand the relationship between the parameters of the systems and steady-state response of the systems

3. Students will be able to understand the concepts of feedback and stability and make stability analysis for feedback systems using different analysis tools.

**Specific outcomes of instruction**

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- Understand the definition and importance of stability for feedback systems

- Understand the relationship between the stability and the poles of the closed loop system.

- Understand the concept of relative stability using both polar plots and Bode plots.

- Make stability analysis for feedback systems using Routh Hurwitz Criterion.

- Make stability analysis for feedback systems using Root-Locus Method.

- Make stability analysis for feedback systems using Nyquist Stability Criterion.

4. Students will be able to design simple compensators to satisfy design requirements.

**Specific outcomes of instruction**

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- Learn about and design PID controllers for simple feedback systems to satisfy design requirements.

- Learn about and design phase lead-lag compensators for simple feedback systems using Bode plots to satisfy design requirements.

5. Students will be able to comprehend the concept of basic state-space analysis and design.

**Specific outcomes of instruction**

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- Learn about important state-space realization types that can be obtained from transfer functions.

- Comprehend the concepts of controllability and observability for state-space representations.

- Understand the concept of state feedback and design a state feedback rule to satisfy design requirements.

- Understand the concept of a state observer and design an observer to satisfy the design requirements.