SIAM Journal on Control and Optimization, Vol.57, No.4, 2992-3020, 2019
OPTIMAL ACTUATOR DESIGN FOR SEMILINEAR SYSTEMS
Actuator location and design are important choices in controller design for distributed parameter systems. Semilinear partial differential equations model a wide spectrum of physical systems with distributed parameters. It is shown that under certain conditions on the nonlinearity and the cost function, an optimal control input together with an optimal actuator choice exists. First-order necessary optimality conditions are derived. The results are applied to optimal actuator and controller design in a nonlinear railway track model as well as semilinear wave models.
Keywords:actuator design;semilinear partial differential equations;optimal control;flexible structures;wave equation