Robust Control of a Two Tank System Using Algebraic Approach

The paper deals with design of a robust controller via algebraic μ-synthesis for a two tank system, which is a well known benchmark problem. The controller is obtained by decoupling two-input two-output system into two identical SISO (Single-Input Single-Output) plants. The task of robust controller design is then performed by finding a suitable pole placement for the SISO systems. The robustness is measured by the structured singular value denoted μ. The final controller is verified through simulation for plants perturbed by worst case perturbations.