Restricted Complexity Controller Design via Multi-Objective Optimization

The problem of restricted complexity controller synthesis is recast into a multiple objective optimization problem. The general H_∞ synthesis approach is introduced first to reveal the limitation of this method. Using nonlinear least square and minimax optimization algorithms, sub-optimal controllers have been developed to satisfy specifications of the frequency performance and transient performance. The simulation and experiment results illustrate that these two methods are very effective in finding low order controllers.