Nonlinear control of quantum systems and biped robots

• Grant number: 13/01901-1
• Support Opportunities: Scholarships abroad - Research
• Start date: July 01, 2013
• End date: July 19, 2013
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Paulo Sergio Pereira da Silva
• Grantee: Paulo Sergio Pereira da Silva
• Host Investigator: Pierre Rouchon
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: ParisTech, France

Abstract

Nonlinear control theory will be applied to quantum control and biped robots. In the context of quantum control, two problems will be studied. The first one is the control of ensembles of Bloch equations arising in the tipical half-spin models that appear in the magnetic ressonance phenomena. The second problem is the control of n-level systems considering a Lyapunov-Lassale approach that combines deterministic and stochastic tools (Kushner theorem). In the context of robotics, we shall consider the control and trajectory generation of biped robots. (AU)