Mixed sensitivity based dynamical Anti-Windup Compensator design using LMI: An application to constrained hot air blower system

Abstract

There are always some type of constraints present in the all physical systems and these constraints or saturations produce the windup effect. This paper describes the design and implementation of a new dynamical Anti-Windup Compensator (AWC) scheme to remove the windup effect. In the new anti-windup scheme the state space matrices of the mixed sensitivity controller's parameters are used in the coprime factorization of the AWC to provide the robustness and optimize using the Linear Matrix Inequalities (LMI). The mixed sensitivity controller designed in this technique is based on the direct method, that is easy to design and do not involve complex calculations and algorithms. This new mixed sensitivity based AW scheme can work for other types of linear controllers other than mixed sensitivity controllers. This new scheme is applied to the benchmark plant with linear controllers and the results and compared with the already existing techniques. To prove the validation of this new proposed AW scheme, it is applied to a hot air blower system and practical results are discussed and compared with simulation results. These practical results aims to support the industrial application of the new AWC scheme ensuring stability and performance.