Abstract :
The authors propose a geometric theory for 2-D systems, based on suitable notions of controlled invariance and conditional invariance. In addition to specific results on disturbance decoupling, model matching and output controllability problems, this approach provides a better insight into the structural properties of a 2-D system. Namely, it makes it possible to introduce a set of invariants and a dynamics which, in the 2-D framework, play the role of the zeros at infinity and of the zero-dynamics of the classical linear systems.<>
Keywords :
multidimensional systems; 2-D systems; conditional invariance; controlled invariance; disturbance decoupling; geometric theory; model matching; output controllability problems; set of invariants; structural properties; Control systems; Controllability; Geometry; H infinity control; Linear systems; Observability; State estimation; State feedback; State-space methods; Sufficient conditions;
