A design method of generalized root-loci for MIMO systems

Author(s):  
Xiao-ming Xu ◽  
Zhi-ming Wu ◽  
Zhong-jun Zhang
Keyword(s):  
Author(s):  
Maher Ben Hariz ◽  
Wassila Chagra ◽  
Faouzi Bouani

The design of a low order controller for decoupled MIMO systems is proposed. The main objective of this controller is to guarantee some closed loop time response performances such as the settling time and the overshoot. The controller parameters are obtained by resolving a non-convex optimization problem. In order to obtain an optimal solution, the use of a global optimization method is suggested. In this chapter, the proposed solution is the GGP method. The principle of this method consists of transforming a non-convex optimization problem to a convex one by some mathematical transformations. So as to accomplish the fixed goal, it is imperative to decouple the coupled MIMO systems. To approve the controllers' design method, the synthesis of fixed low order controller for decoupled TITO systems is presented firstly. Then, this design method is generalized in the case of MIMO systems. Simulation results and a comparison study between the presented approach and a PI controller are given in order to show the efficiency of the proposed controller. It is remarkable that the obtained solution meets the desired closed loop time specifications for each system output. It is also noted that by considering the proposed approach the user can fix the desired closed loop performances for each output independently.


Author(s):  
Tassadit Chekari ◽  
Rachid Mansouri ◽  
Maamar Bettayeb

This paper is aimed to propose a multiloop control scheme for fractional order multi-input multi-output (FO-MIMO) systems. It is an extension of the FO-multiloop controller design method developed for integer order multivariable systems to FO-MIMO ones. The interactions among the control loops are considered as disturbances and a two degrees-of-freedom (2DOF) paradigm is used to deal with the process outputs performance and the interactions reduction effect, separately. The proposed controller design method is simple, in relation with the desired closed-loop specifications and a tuning parameter. It presents an interest in controlling complex MIMO systems since fractional order models (FO-models) represent some real processes better than integer order ones and high order systems can be approximated by FO-models. Two examples are considered and compared with other existing methods to evaluate the proposed controller.


2002 ◽  
Vol 149 (6) ◽  
pp. 511-519
Author(s):  
L.F. Yeung ◽  
G.F. Bryant ◽  
W.H.Y. Ng ◽  
W.K. Yang

Author(s):  
Hironori Umei ◽  
Hiroshi Okajima ◽  
Nobutomo Matsunaga ◽  
Toru Asai

2021 ◽  
Author(s):  
Jing Xing ◽  
Die Hu

Abstract In this paper, we propose a convolutional neural network(CNN) and clustering based codebook design method. Specifically, we train two different CNN networks, i.e., CNN1 and CNN2, to compress the channel state information(CSI) matrices into the channel vectors and recover the channel vectors back into the CSI matrices, respectively. After that, the clustering algorithm clusters the output of CNN1, i.e., the channel vectors into several clusters and outputs a centroid for each cluster. The sum-distance between each centroid and the channel vectors in the corresponding cluster is the smallest, which can lead to the maximum sum-rate of massive MIMO codebook design. Then, the centroids are recovered into matrices by CNN2. The output of CNN2 is our proposed codebook for massive multiple-input multiple-output(MIMO) systems. In the simulation, we compare the performance of different clustering algorithms. We also compare the proposed codebook with the traditional Discrete Fourier Transform(DFT) codebook. Simulation results show the superiority of the proposed algorithm.


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