Distributed control for interconnected linear parameter-dependent systems

Abstract

Stability analysis and performance control problems for a class of interconnected parameter-dependent systems with linear fractional parameter dependency are considered. The time and spatially varying parameters are assumed measurable in real-time for controller use. The distributed controller inherits the spatial structure of the plant, which is implementable through parallel computation. The stability of the interconnected parameter-dependent systems is established using a distributed Lyapunov function. Moreover, the synthesis condition of distributed parameter-dependent control gain is formulated as a convex optimisation in the form of a linear matrix inequality. An explicit distributed controller formula is also provided by exploiting the connection between the continuous and the discrete interconnected system descriptions.