Decentralized control of polynomial systems using differential dissipativity

This paper presents an approach to decentralized nonlinear control of polynomial systems based on differential dissipativity. First, the dissipativity condition of the local systems with certain state feedback structure is investigated. Then a large-scale optimization problem for the plantwide dissipativity condition is formulated using the dissipativity properties of the subsystems and the interconnection structure. The alternating direction method of multipliers (ADMM) is applied to decompose this problem and obtain the local feedback control law.