Digital Control
(3-0-0-3)
CMPE Degree: This course is Not Applicable for the CMPE degree.
EE Degree: This course is Not Applicable for the EE degree.
Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.
Technical Interest Group(s) / Course Type(s): Systems and Controls
Course Coordinator: Yorai Wardi
Prerequisites: None.
Catalog Description
Techniques for analysis and synthesis of digital control systems. Sample-data systems, state-space systems, and linear feedback design.Textbook(s)
Discrete-Time Control SystemsCourse Outcomes
Not Applicable
Strategic Performance Indicators (SPIs)
Outcome 1 (Students will demonstrate expertise in a subfield of study chosen from the fields of electrical engineering or computer engineering):
Upon successful completion of the course, the student should be able to:
1. Analyze discrete-time systems and sample-data systems.
2. Apply the principle of the argument to compute the inverse z-transform.
3. Analyze reachability and observability of state-space linear systems.
Outcome 2 (Students will demonstrate the ability to identify and formulate advanced problems and apply knowledge of mathematics and science to solve those problems):
Upon successful completion of the course, the student should be able to:
1. Design digital controllers for continuous plant-systems.
2. Design linear feedback laws for state-space linear systems.
Outcome 3 (Students will demonstrate the ability to utilize current knowledge, technology, or techniques within their chosen subfield):
Upon successful completion of the course, the student should be able to:
N/A
Topical Outline
1. The z-transform
a. Definition and properties of the z transform
b. The inverse z transform by partial fraction expansions.
c. Solving difference equations by thye z transform
2. Introduction to complex-functions theory
a. Complex integration and Cauchy theorem
b. Contour integration and its applications to the inverse z transform
3. Z-plane analysis of discrete-time linear systems
a. Sampling and hold
b. The Nyquist sampling theorem
c. Deriving the transfer functions of sampling-and-hold systems
4. Design of discrete-time control systems
a. Mappings between the s plane and the z plane
b. Stability analysis of closed-loop systems
c. Design of digital controllers for sample-data systems
5. The State-space approach
a. State-space representations of discrete-time systems
b. Analysis os discrete-time state-space equations
6. Feedback Design for State-space Systems
a. Controllability and observability
b. Contrller design by pole placement
c. State observers
7. Introduction to Optimal Control
a. General principles of discrete-time optimal control
b. The linear-quadratic regulator