Dynamic Intermittent Boundary Control for Reaction–Diffusion Systems Under Intermittent Noncollocated Boundary Measurement
针对反应扩散系统在间歇性非并置边界测量下的控制难题，提出一种基于观测器的动态间歇边界输出反馈控制器，通过线性矩阵不等式保证闭环系统指数稳定，并用数值例子验证有效性。
Under intermittent noncollocated boundary measurement (BM), this article introduces a dynamic intermittent boundary output-feedback control for reaction–diffusion systems (RDSs). Since the system state is not fully available and intermittent noncollocated BM makes the intermittent BC design very difficult, an observer-based control technique is given to surmount this design difficulty. Initially, a PDE state observer under intermittent noncollocated BM is provided to estimate the RDS state. Then, the exponential stability of closed-loop RDSs is ensured by constructing an observer-based controller. Sufficient conditions of such dynamic controller are subsequently presented by linear matrix inequalities (LMIs) via employing a switching time-dependent LF and inequality techniques. Finally, two numerical examples are presented to demonstrate the effectiveness of the proposed design approach.