A quantitative robust control approach for distributed parameter systems

Abstract

AbstractThis paper introduces a new simple quantitative robust control technique designing applicable to one‐point feedback controllers for distributed parameter systems (DPSs) with uncertainty. The paper considers the spatial distribution of the relevant points where the inputs and the outputs of the control system are applied (actuators, sensors, disturbances and control objectives) and introduces a new set of transfer functions (TFs) that describe the relationships between the distributed inputs and outputs of the system. Based on these TFs, the paper extends the classical robust stability and performance specifications to the DPS case and presents a new set of quadratic inequalities to define the quantitative feedback theory bounds. The method can also deal with uncertainty in both the model and the spatial distribution of the inputs and the outputs. Some examples illustrate the use and simplicity of the proposed methodology. Copyright © 2006 John Wiley & Sons, Ltd.