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.