Courses Detail Information
ECE7605J – Advanced topics in control II
Instructors:
Credits: 3 credits
Pre-requisites: Ve560 Linear Systems
Description:
This course will focus on the advanced topics in control and optimization. Based on the knowledge of linear algebra and differential geometry developed in earlier courses Ve 560 Linear Systems and Ve562 Nonlinear Systems and Control, we will apply those linear and nonlinear control techniques to various interesting physical systems such as complex industrial systems, multi-agent systems, and quantum mechanical systems. We will discuss analysis, design and optimization tools in implementing controls in these systems.
Course Topics:
Complexity in nonlinear dynamics
Classical examples, Multiple Equilibria, Limit Cycles
ComplexDynamics,Bifurcations
Linearization by State Feedback for SISO and IMIMMOsystems
Involutivity
Frobenius*Theorem
Zero Dynamics
Inversion, Tracking
Stabilization
Geometric control theory: manifold
Lie algebra and Lie group, Controllability
Coherent quantum control principles
Numerical optimal quantum control
Application to quantum computation: Quantum Gate
Random process, Stochastic diferential equation
Filtering problem
Continuous quantum measurement
Quantum feedback control principlesApplication to NEMS: Feed cooling of a nano-mechanicalresonator