## ECE 515 - Control System Theory & Design

### Semesters Offered

TitleRubricSectionCRNTypeHoursTimesDaysLocationInstructor
Control System Theory & DesignECE515N29983DIS1400 - 1520 T R  3017 ECE Building Mohamed Ali Belabbas
Control System Theory & DesignME540N53744DIS1400 - 1520 T R  3017 ECE Building Mohamed Ali Belabbas

### Official Description

Feedback control systems emphasizing state space techniques. Basic principles, modeling, analysis, stability, structural properties, optimization, and design to meet specifications. Course Information: Same as ME 540. Prerequisite: ECE 486.

Control Systems

### Description

Fundamental course on feedback control systems. Basic principles, modeling, optimization and design to meet specifications.

### Topics

• System modeling and analysis: system design as a control problem - constraints, goals and performance specifications, input-output and state space models; linearization; review of linear algebra; fundamentals of state-space analysis of linear systems
• System structural properties: stability; introduction to Lyapunov methods; controllability, observability; canonical forms and minimal realizations. Modeling uncertainties; system sensitivity and robustness measures.
• Feedback system design: basic properties of feedback; stabilization and eigenvalue placement by state and output feedback; disturbance rejection; observers for estimating states, and observer feedback systems
• Optimum feedback control: dynamic programming and the Hamilton-Jacobi-Bellman equation; synthesis of optimum state regulator systems; numerical methods
• Introduction to the minimum principle: calculus of variations and necessary conditions for optimal trajectories; minimum principle for bounded controls; time-optimal control of linear systems; numerical methods

### Detailed Description and Outline

Topics:

• System modeling and analysis: system design as a control problem - constraints, goals and performance specifications, input-output and state space models; linearization; review of linear algebra; fundamentals of state-space analysis of linear systems
• System structural properties: stability; introduction to Lyapunov methods; controllability, observability; canonical forms and minimal realizations. Modeling uncertainties; system sensitivity and robustness measures.
• Feedback system design: basic properties of feedback; stabilization and eigenvalue placement by state and output feedback; disturbance rejection; observers for estimating states, and observer feedback systems
• Optimum feedback control: dynamic programming and the Hamilton-Jacobi-Bellman equation; synthesis of optimum state regulator systems; numerical methods
• Introduction to the minimum principle: calculus of variations and necessary conditions for optimal trajectories; minimum principle for bounded controls; time-optimal control of linear systems; numerical methods

Notes

2/13/2013