ABSTRACT
This chapter introduces a practical quantitative robust control technique to design one-point feedback controllers for distributed parameter systems (DPS) with uncertainty. The method considers the spatial distribution of the relevant points where the inputs and outputs of the control system are applied, and a new set of transfer functions (TFs) that describe the relationships between those distributed inputs and outputs. Based on the definition of such distributed TFs, the classical robust stability and robust performance specifications are extended to the DPS case, and a new set of quadratic inequalities are defined for the DPS QFT bounds. The chapter proposes an advanced control method able to deal with uncertainty in both the model and the spatial distribution of the inputs and the outputs. It also includes a well-known DPS heat transfer example to illustrate the use and simplicity of the proposed methodology.
