Dissipativity based distributed control synthesis

• A distributed control synthesis approach for plant-wide processes is presented.
• Dynamic supply rates, expressed as quadratic differential forms, are used in this development.
• Dynamic supply rates render dissipativity based control design less conservative.
• A convex control design algorithm is developed to ensure the plant-wide stability and performance (weighted H∞H∞ norm bounds).

A control synthesis approach for plant-wide processes from a network perspective based on dissipativity theory is presented. Dynamic supply rates, expressed as quadratic differential forms, are used in an effort to render dissipativity based control design methodologies less conservative. In this paper, a convex algorithm for designing a plant-wide control system is presented, which, ensures plant-wide closed loop internal stability and performance in the form of weighted H∞H∞ norm bounds. This is achieved by encoding these requirements as dissipativity conditions on the individual controllers and subsequently synthesizing suitably dissipative controllers. This approach to plant-wide control design is applicable to distributed control design with arbitrary communication topology as well as decentralized and centralized control. An example is provided to illustrate these results.