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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Spring 2009 Seminar Series
Presents
Analysis and Control Design for State and Control
Constrained Nonlinear Systems
Kenji Hirata
Department of Mechanical Engineering
Nagaoka University of Technology
Friday, April 10, 2009 3:00 - 4:00pm WEBB 1100
Abstract:
Constraints on actuators and often also on the states are present inherently in all real physical systems.
They can lead performance deterioration and even instability if not properly accounted for in control
design stages. An invariance property of a certain subset in the state space plays fundamentally
important roll in analysis and design of systems with state and control pointwise-in-time constraints.
In this presentation, we consider necessary and sufficient conditions to fulfill the specified state and
control constraints for nonlinear closed-loop dynamics. We investigate the concept of the maximal
output admissible set, which is the largest constraint admissible invariant set, or in other word, the set
of all initial conditions such that the resulting trajectories never exceed the specified constraints. We
propose explicit procedures for computing the maximal output admissible sets and consider their finite

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics