Linear-Quadratic optimal control for boundary controlled networks of waves
arxiv(2024)
摘要
Linear-Quadratic optimal controls are computed for a class of boundary
controlled, boundary observed hyperbolic infinite-dimensional systems, which
may be viewed as networks of waves. The main results of this manuscript consist
in converting the infinite-dimensional continuous-time systems into
infinite-dimensional discrete-time systems for which the operators dynamics are
matrices, in solving the LQ-optimal control problem in discrete-time and then
in interpreting the solution in the continuous-time variables, giving rise to
the optimal boundary control input. The results are applied to two examples, a
small network of three vibrating strings and a co-current heat-exchanger, for
which boundary sensors and actuators are considered.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要