ECE 6444

( Hybrid Control Systems)

CRN: 16271

This course provides a unified framework for Hybrid Control Systems, with many practical examples.
Hybrid control systems typically contain Finite State Machines and Ordinary Differential Equations
modeling synthesized together. Most practical control applications are essentially hybrid control
systems problems. This course will teach modeling, analysis, and control design techniques for
these types of systems. Many applications of this approach are in the area of embedded control systems,
communications network control systems, queuing systems control, real-time systems control etc.


Taught by	*Dr.. Pushkin Kachroo* *pushkin@vt.edu* *231-2976*
Listserve	ece6444_16271@listserv.vt.edu
Grading	Homeworks: 40% Tests: 60% *Latest Student Scores*
Lecture Room	Rand 121
Lecture Time	08:00-9:15 P.M.(T-Th)
Office Hours	459 Durham
Textbook	An Introduction to Hybrid Dynamical Systems Series: Lecture Notes in Control and Information Sciences, Vol. 251 Arian J. Van Der Schaft Johannes M. Schumacher Springer ISBN: 1-85233-233-6, 2000
Credits	3.00

Schedule:


Jan13	T	Introduction (ch1)
	Th	Introduction (ch1 and ch2)
		notes1
Jan20	T	Examples
	Th	Modeling

Jan27	T	Fundamental Properties
	Th	Simulation Packages
		homework 1 hw1 in pdf hw1soln
Feb3	T	Presentation by Dr. Armstrong
	Th	Sequence Properties Survey_liveness_safety
		Ptolemy Software SystemC
Feb10	T	Reachability
	Th
		Intro to Logic Temporal Logic Specification
Feb17	T	Nonlinear Cont. Systems Stability Reference
	Th	Hybrid Systems Stability Reference1(Topology) Reference2(Topology)
		homework 2 hw2soln
Feb24	T	Impact Maps
	Th	Impact Maps

Mar3	T	SpringBreak
	Th	SpringBreak

Mar10	T	Impact Maps
	Th	Test1 Test1solution

Mar17	T	variable_structure(ch3)
	Th	Variable Structure (ch3)

Mar24	T	Variable Structure (ch3)
	Th	Model Checking for Verification of Timed Automata (lecture by Dr. Sandeep Shukla) Reference: Verification Book

Mar31	T	Complementarity Systems
	Th	Complementarity Systems

Apr7	T	Complementarity Systems
	Th	Complementarity Systems

Apr14	T	Hw#3
	Th	HW#3 Due

Apr21	T	Sliding Mode
	Th	Chapter 5

Apr28	T	Chapter 6
	Th	Final Exam