Evaluation of the LMI-based multivariable PID controller design for turbo aeroengines

A variety of PID control tuning rules have been proposed for single-input single-output systems, but there is still a lack of research on PID controller design for multi-input multi-output systems. The objective in this paper is to gain some insight into multi-variable PID controller design for gas turbine engines. First of all, we present an approach to design multi-variable PID controllers based on the pole placement technique in the framework of linear matrix inequalities. Then this paper makes a comparison of four multi-variable PID controller design methods including pole-placement, iterative LMI approach, cone complementarity, and sufficient LMI condition. In terms of numerical computation, control performance, and anti-disturbance, we make an attempt to evaluate their performance and give some guidelines to gas turbine engine control. Experimental results illustrate that the pole-placement and iterative LMI methods are slightly superior to others due to their robust performance and their ease of solution and implementation.