An algorithmic approach to loop shaping with applications to self-tuning control systems

An algorithmic approach to feedback design is introduced. This approach makes it possible to replace the previous iterative design process, which is often tedious, with a straightforward algorithm. The new approach is developed based on the matrix interpolation theory. It reduces the design problem to solving a set of linear algebraic equations. The simplicity and the algorithmic nature of such an approach make it attractive to self-tuning control systems, where the compensators are continuously tuned online as the dynamics of the physical process varies with time. Extensions of the algorithm to multi-input multi-output systems as well as discrete time systems are introduced