A new approach to decentralised control design

Interaction analysis for decentralized control based on dissipativity

“…To deal with unstable processes, Samyudia et al . [5,13] proposed the use of gap-metric and coprime factorization in the interaction analysis.…”

“…[2 -4] With the wide adoption of decentralized control in process industries, it is important to analyze the effects of loop interactions on control system stability and the performance achievable by decentralized controllers. [5,6] Several interaction analysis tools have been reported in the literature. For example, the relative gain array (RGA) [7] and the block relative gain array (BRGA) [8] are traditionally used as the techniques to screen out alternative control structures for the plant.…”

µ-Interaction measure for unstable systems

“…Samyudia et al [6] have criticized the µ-IM for this limitation and have instead proposed a method based on ν-gap metric. In this paper, we present a modified µ-IM that easily handles unstable systems.…”

Design and analysis of structured controllers

“…Another problem addressed in this thesis is related to the selection of input output pairings for the decentralized controller. In the literature, many methods are available for the pairing selection, such as the relative gain array (RGA) [11], relative interaction array [154], µ-interaction measure (µ-IM) [26,27], ν-gap metric [106], and dissipativity [4,5]. These methods require exhaustive search of all possible alternatives, which is infeasible for large processes.…”

“…Using numerical examples, it is shown that the modified benchmark can be reliably estimated using closed-loop operational data, which is vital for the application of this technique in process industries. [146,147], Normalized RGA [39], relative interaction array [154], decomposed relative interaction array [38,40], µ-interaction measure [26,27], ν-gap metric [106] and dissipativity [4,5,149]. Comprehensive reviews on the methods available for IO pairing selection are available in [135][136][137].…”