# Control Systems Engineering II

 Course Number: ENGRG 7320 Course Name: Control Systems Engineering II (Online) Course Description: Classical and modern control systems, frequency and time domain. Design via frequency response techniques. Modeling in state-space. Signal-flow graphs of state equations. Stability and errors in state space. Controllability and observability. Control systems design via state space. Prerequisites: BS degree in engineering and ENGRG 7310 Level: Graduate Credits: 3 Format: Online Program: Master of Science in Engineering

NOTE: The information below is representative of the course and is subject to change.  The specific details of the course will be available in the Desire2Learn course instance for the course in which a student registers.

Learning Outcomes
The course is the second in the three-course series in the Control Systems Engineering curriculum for the University of Wisconsin-Platteville master's degree program.

The introduction to the use of modern control theory and practice of control systems engineering is made. The state space technique is used as the basis for the modern control theory.

Upon completion of this course, you should be able to

• Find a mathematical model called a state space representation for a linear, time-invariant system.
• Convert transfer function and state space models.
• Linearize a state-space representation.
• Find the time response from the state-space representation.
• Represent, in state space, a system consisting of multiple subsystems.
• Convert between alternative representation of a system in state space.
• Determine stability of a system represented in state space.
• Find the steady-state error for systems represented in state space.
• Design a state-feedback controller using pole placement to meet transient response specifications.
• Design an observer for systems where the states are not available to the controller.
• Design steady-state error characteristics for systems represented in state space.

Unit Descriptions

Unit 1
Unit 1 provides a refresher in matrices and linear algebra which are used frequently in state space fundamentals.

• Chapter 3 addresses the modeling of open-loop systems using state space techniques -- specifically, differentiating from transfer function and state-space models.

Unit 2
Unit 2 covers chapters 4 through 7 in the state space realm.

• Chapter 4 deals with system analysis or finding and describing the output response of a system. In ENGRG 7320, we will find the time response from the state space representation.
• Chapter 5 discusses the representation and reduction of systems formed of inner-connected open-loop subsystems. Specifically in ENGRG 7320, the state space representation such as signal-flow graphs of state equations will be covered.
• Chapter 6 covers the study of stability of transfer functions and the Routh-Hurwitz criterion is implemented. The stability of a system represented in state space will be evaluated.
• Chapter 7 will suggest how to evaluate steady-state errors for unity and non-unity feedback systems, as well as suggested error performance. This topic will mainly focus on finding the steady-state error for systems represented in state space.

Unit 3
Unit 3 will basically cover chapter 12 and the designing of controller and transient response systems with state space techniques.