ON BARRIERS IN STATE AND INPUT CONSTRAINED NONLINEAR SYSTEMS
Topic: All
Séance du mardi 11 octobre 2011, Salle L 213, 14h30.
Jose De DONA, Associate Professor University of Newcastle, Australia
In this talk we will address the problem of state and input constrained control for continuous-time nonlinear models. We will define the admissible subset of the state space where the state and input constraints can be satisfied "for all times" and characterise some of its properties and relationships with other well-known related sets, including the attainable sets. Our main interest in this line of work is in obtaining a local description of the boundary of the admissible set which, we will see, is made of two disjoint parts: the subset of the state constraint boundary on which there are trajectories pointing towards the interior of the admissible set or tangentially to it; and a barrier, namely a semipermeable surface which is constructed via a minimum-like principle. We will present some examples motivating the problem and/or illustrating the results.
Jose De DONA, Associate Professor University of Newcastle, Australia
In this talk we will address the problem of state and input constrained control for continuous-time nonlinear models. We will define the admissible subset of the state space where the state and input constraints can be satisfied "for all times" and characterise some of its properties and relationships with other well-known related sets, including the attainable sets. Our main interest in this line of work is in obtaining a local description of the boundary of the admissible set which, we will see, is made of two disjoint parts: the subset of the state constraint boundary on which there are trajectories pointing towards the interior of the admissible set or tangentially to it; and a barrier, namely a semipermeable surface which is constructed via a minimum-like principle. We will present some examples motivating the problem and/or illustrating the results.