Optimal Boundary Control of Convention-Reaction Transport Systems with Binary Control Functions

We investigate a new approach for solving boundary control problems for dynamical systems that are governed by transport equations, when the control function is restricted to binary values. We consider these problems as hybrid dynamical systems embedded with partial differential equations and present an optimality condition based on sensitivity analysis for the objective when the dynamics are governed by semilinear convection-reaction equations. These results make the hybrid problem accessible for continuous non-linear optimization techniques. For the computation of optimal solution approximations, we propose using meshfree solvers to overcome essential difficulties with numerical dissipation for these distributed hybrid systems. We compare results obtained by the proposed method with solutions taken from a mixed inter programming formulation of the control problem.

• Type: Conference
• Year: 2009
• Where: HYBRID
• Authors: Falk M. Hante, Günter Leugering
• Keywords: Control Problem, Dynamical Systems, HYBRID 2009, Hybrid Dynamical Systems, Hybrid Systems