On MIMO PID Control of the quadruple-tank process via ILMIs Approaches : Minimum and Non-Minimum Case studies

This paper addresses the problem of the multivariable control of the quadruple-tank process via Iterative Linear Matrix Inequality (ILMI) approaches. Three methods are revised and compared to design the feedback PID gain controllers. To evaluate the performances of each approach, we consider the two case studies of the minimum and non-minimum phase linear time invariant models. We also examine the feasibility, the stabilization problem resolution and the complexity of each ILMI algorithm.