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控制理论与应用 2004
Parameters satisfactory optimization of controller in multivariable control system
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Abstract:
To introduce satisfactory optimization into multivariable control systems to solve the problem that weighting coefficient matrices in linear quadratic controller design of multivariable control systems are chosen,satisfactory optimization method (SOM) for multivariable control systems is proposed.By designing satisfactory rate functions of performance indexes and synthesis satisfactory rate function of control system,satisfactory optimization mathematic model for multivariable control systems is constructed.The model is characterized by considering satisfactory design of performance indexes,parameter optimization,constraints and objectives,simultaneously.Also,the controller of double pendulum control system is designed using SOM based on improved genetic algorithm that has rapid convergence and good global search capability.Experimental results show that the control system designed by SOM has faster response speed,smaller over-amplitude and shorter adjusting time than that obtained by traditional methods.SOM can achieve more satisfactory control performances than traditional methods.So the introduced method is effective and practical,and also has some reference value for designing multivariable control systems.