Multivariable direct adaptive decoupling controller using multiple models and a case study |
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Authors: | Xin Wang Hui Yang YiHui Zheng |
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Affiliation: | (1) Center of Electrical & Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;(2) School of Electrical & Electronic Engineering, East China Jiao Tong University, Jiangxi, 330013, China |
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Abstract: | In this paper, a multivariable direct adaptive controller using multiple models without minimum phase assumption is presented
to improve the transient response when the parameters of the system jump abruptly. The controller is composed of multiple
fixed controller models, a free-running adaptive controller model and a re-initialized adaptive controller model. The fixed
controller models are derived from the corresponding fixed system models directly. The adaptive controller models adopt the
direct adaptive algorithm to reduce the design calculation. At every instant, the optimal controller is chosen out according
to the switching index. The interaction of the system is viewed as the measured disturbance which is eliminated by the choice
of the weighing polynomial matrix. The global convergence is obtained. Finally, several simulation examples in a wind tunnel
experiment are given to show both effectiveness and practicality of the proposed method. The significance of the proposed
method is that it is applicable to a non-minimum phase system, adopting direct adaptive algorithm to overcome the singularity
problem during the matrix calculation and realizing decoupling control for a multivariable system.
Supported by the National Natural Science Foundation of China (Grant Nos. 60504010, 60864004), the National High-Tech Research
and Development Program of China (Grant No. 2008AA04Z129), the Key Project of Chinese Ministry of Education (Grant No. 208071),
and the Natural Science Foundation of Jiangxi Province (Grant No. 0611006) |
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Keywords: | multivariable multiple models decoupling non-minimum phase direct adaptive |
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