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Convex Methods for the Design of Low Order Dynamic Pre-Compensators
, M.Sc. Thesis Sharif University of Technology ; Nobakhti, Amin (Supervisor)
Abstract
Decentralized control is a typical method for the design of industrial MIMO control systems. However, in most multivariable systems, the existence of large interactions limit the achievable performance of such controllers. In the Nyquist Array design method proposed by Rosenbrock, the system interactions can be reduced using a precompensator, such that a decentralized controller may be used with acceptable performance. A well designed pre-compensator will effectively decouple the system and the multivariable systems may be considered as a set of SISO systems. It is therefore obvious that the key element in the Nyquist Array design method is the design of the pre-compensator. There are two...
Decomposition via QP
, Article IEEE Transactions on Control Systems Technology ; Volume 20, Issue 6 , October , 2012 , Pages 1630-1637 ; 10636536 (ISSN) ; Nobakhti, A ; Sharif University of Technology
2012
Abstract
This brief presents an algorithm for decoupling multivariable systems based on quadratic programming (QP). A single framework is presented which can be used to design centralized, decentralized, and sparse structures of arbitrary dynamical order. A worked example and a case study are presented to demonstrate the usage and performance. It is shown that only previous methods based on Evolutionary Algorithms are able to achieve slightly higher performance than the proposed algorithm. However, these minor improvements are outweighed by the huge increase in time and costs associated with evolutionary optimizations
Design of low order dynamic pre-compensators using convex methods
, Article Proceedings of the American Control Conference, 29 June 2011 through 1 July 2011, San Francisco, CA ; 2011 , Pages 3680-3685 ; 07431619 (ISSN) ; 9781457700804 (ISBN) ; Nejati, A ; Nobakhti, A ; Karimi, H ; Sharif University of Technology
2011
Abstract
Pre-compensators are used in multivariable control systems to reduce (or eliminate) open loop system interactions. Classical methods for the design of pre-compensator are traditionally based on static designs. Static pre-compensators are preferred for their simplicity, but are highly unsystematic in the amounts of achievable diagonal dominance. In many applications, only the more powerful dynamic pre-compensators are able to deliver the desired amounts of decoupling. This paper proposes a new method for the design of dynamic pre-compensators which is based on a Quadratic Programming (QP) optimization. Using the proposed approach the total pre-compensator is found through several smaller...