Modeling, analysis and control of multivariable fuzzy system, an important direction of intelligent techniques, are to analyze and deal with complex MIMO dynamic systems. A complex multivariable system features nonlin...Modeling, analysis and control of multivariable fuzzy system, an important direction of intelligent techniques, are to analyze and deal with complex MIMO dynamic systems. A complex multivariable system features nonlinearity, uncertainty, multiple variables and couple action. It is difficult or even impossible to effectively deal with this kind of system with the existing conventional system and control theories based on classical logic. The theory of fuzzy sets and fuzzy systems open a new alternative way to modeling, analysis and control of such systems. But most developments are limited during the dealing with SISO systems in recent years. Therefore, the study on multivariable fuzzy system is of significance in respects of theory and application, and becomes one of the focuses on the research of the fuzzy logic techniques. In this dissertation, several conclusions about the multivariable fuzzy system theory have been achieved. The whole thesis includes two parts, and the main contents and conclusions are summarized as follows: In the first part, the theory about modeling, analysis and control of multivariable fuzzy systems is studied, including 1 The study on generalized fuzzy basis function based multivariable fuzzy system model By analyzing the existing modeling methods of multivariable fuzzy systems, enlightened by the fuzzy cell to cell mapping model proposed by L.M.Jia, a new analytical description of the MIMO fuzzy rules generalized fuzzy basis function (GFBF) is put forwards under the deterministic definition of the fuzzy cellization. It cannot only simultaneously the numerical data and linguistic knowledge of the complex systems, but also contains many kinds of fuzzy basis function according to the basic properties of GFBF. Consequently, generalized fuzzy basis function series (GFBFS), an efficient and concise modeling method for MIMO fuzzy systems, is proposed through the reasonable selection for the decision making logic used in the fuzzy inference mechanism, which can be proved to approximate arbitrary nonlinear functions to any degree of accuracy. Based on this model, an identification algorithm utilizing numerical data is provided and its convergence property is detailed studied. Furthermore, in order to improve the computational efficiency of the identification algorithm, a fast technique based on ρ cut equivalent system is put forward. The simulation results about typical system and practical industrial plant demonstrate its effectiveness. 2 The study on analysis of the dynamic properties of the MIMO fuzzy systems By reviewing the existing analyzing method of fuzzy systems, and based on the idea that the dynamics of any complex system is the aggregation of its implicit stable sub dynamics and unstable sub dynamics, system decomposition method is proposed to make the system properties easier to be recognized. Furthermore, the filtering operation is used to reasonable eliminate the less significant factors and make the dominant dynamics emerge. Then, the system behavior can be evaluated directly from the α cut equivalent system structure characterized by the cell to cell mapping. This provides a new approach to analyze the asymptotic response of the complex dynamic system. 3 The study on fuzzy sliding-mode based self learning multivariable fuzzy controller (FSM MFC) After a brief introduction to the state of arts of the researches on multivariable fuzzy controller (MFC), the limitation of indirect MFC based on the controlled system model is summarized. More and more researchers concentrate on the study of direct MFC and the general purposed model free MFC becomes the focus on the researches on fuzzy logic control theory and its application. Based on the method of sliding mode variable structure control (VSC) dealing with SISO and n the order systems, the concept of fuzzy sliding mode (FSM) is defined in the state space, and the performance of the closed loop system is significantly improved through the introduction to another control input. Meantime, by展开更多
The radial basis function （RBF） emerged as a variant of artificial neural network. Generalized regression neural network （GRNN） is one type of RBF, and its principal advantages are that it can quickly learn and ra...The radial basis function （RBF） emerged as a variant of artificial neural network. Generalized regression neural network （GRNN） is one type of RBF, and its principal advantages are that it can quickly learn and rapidly converge to the optimal regression surface with large number of data sets. Hyperspectral reflectance （350 to 2500 nm） data were recorded at two different rice sites in two experiment fields with two cultivars, three nitrogen treatments and one plant density （45 plants m^-2）. Stepwise multivariable regression model （SMR） and RBF were used to compare their predictability for the leaf area index （LAI） and green leaf chlorophyll density （GLCD） of rice based on reflectance （R） and its three different transformations, the first derivative reflectance （D1）, the second derivative reflectance （D2） and the log-transformed reflectance （LOG）. GRNN based on D1 was the best model for the prediction of rice LAI and CLCD. The relationships between different transformations of reflectance and rice parameters could be further improved when RBF was employed. Owing to its strong capacity for nonlinear mapping and good robustness, GRNN could maximize the sensitivity to chlorophyll content using D1. It is concluded that RBF may provide a useful exploratory and predictive tool for the estimation of rice biophysical parameters.展开更多
基金Supported by the National Natural Science Foundation(NNSF) of China(51009017,61074017,51179019)Applied Basic Research Funds from Ministry of Transport of the People's Republic of China(2012-329-225-060)Fundamental Research Funds for the Central Universities of China(2009QN025,2011JC002)
文摘Modeling, analysis and control of multivariable fuzzy system, an important direction of intelligent techniques, are to analyze and deal with complex MIMO dynamic systems. A complex multivariable system features nonlinearity, uncertainty, multiple variables and couple action. It is difficult or even impossible to effectively deal with this kind of system with the existing conventional system and control theories based on classical logic. The theory of fuzzy sets and fuzzy systems open a new alternative way to modeling, analysis and control of such systems. But most developments are limited during the dealing with SISO systems in recent years. Therefore, the study on multivariable fuzzy system is of significance in respects of theory and application, and becomes one of the focuses on the research of the fuzzy logic techniques. In this dissertation, several conclusions about the multivariable fuzzy system theory have been achieved. The whole thesis includes two parts, and the main contents and conclusions are summarized as follows: In the first part, the theory about modeling, analysis and control of multivariable fuzzy systems is studied, including 1 The study on generalized fuzzy basis function based multivariable fuzzy system model By analyzing the existing modeling methods of multivariable fuzzy systems, enlightened by the fuzzy cell to cell mapping model proposed by L.M.Jia, a new analytical description of the MIMO fuzzy rules generalized fuzzy basis function (GFBF) is put forwards under the deterministic definition of the fuzzy cellization. It cannot only simultaneously the numerical data and linguistic knowledge of the complex systems, but also contains many kinds of fuzzy basis function according to the basic properties of GFBF. Consequently, generalized fuzzy basis function series (GFBFS), an efficient and concise modeling method for MIMO fuzzy systems, is proposed through the reasonable selection for the decision making logic used in the fuzzy inference mechanism, which can be proved to approximate arbitrary nonlinear functions to any degree of accuracy. Based on this model, an identification algorithm utilizing numerical data is provided and its convergence property is detailed studied. Furthermore, in order to improve the computational efficiency of the identification algorithm, a fast technique based on ρ cut equivalent system is put forward. The simulation results about typical system and practical industrial plant demonstrate its effectiveness. 2 The study on analysis of the dynamic properties of the MIMO fuzzy systems By reviewing the existing analyzing method of fuzzy systems, and based on the idea that the dynamics of any complex system is the aggregation of its implicit stable sub dynamics and unstable sub dynamics, system decomposition method is proposed to make the system properties easier to be recognized. Furthermore, the filtering operation is used to reasonable eliminate the less significant factors and make the dominant dynamics emerge. Then, the system behavior can be evaluated directly from the α cut equivalent system structure characterized by the cell to cell mapping. This provides a new approach to analyze the asymptotic response of the complex dynamic system. 3 The study on fuzzy sliding-mode based self learning multivariable fuzzy controller (FSM MFC) After a brief introduction to the state of arts of the researches on multivariable fuzzy controller (MFC), the limitation of indirect MFC based on the controlled system model is summarized. More and more researchers concentrate on the study of direct MFC and the general purposed model free MFC becomes the focus on the researches on fuzzy logic control theory and its application. Based on the method of sliding mode variable structure control (VSC) dealing with SISO and n the order systems, the concept of fuzzy sliding mode (FSM) is defined in the state space, and the performance of the closed loop system is significantly improved through the introduction to another control input. Meantime, by
基金Project supported by the National Natural Science Foundation of China (No.40571115)the National High Tech-nology Research and Development Program (863 Program) of China (Nos.2006AA120101 and 2007AA10Z205)
文摘The radial basis function （RBF） emerged as a variant of artificial neural network. Generalized regression neural network （GRNN） is one type of RBF, and its principal advantages are that it can quickly learn and rapidly converge to the optimal regression surface with large number of data sets. Hyperspectral reflectance （350 to 2500 nm） data were recorded at two different rice sites in two experiment fields with two cultivars, three nitrogen treatments and one plant density （45 plants m^-2）. Stepwise multivariable regression model （SMR） and RBF were used to compare their predictability for the leaf area index （LAI） and green leaf chlorophyll density （GLCD） of rice based on reflectance （R） and its three different transformations, the first derivative reflectance （D1）, the second derivative reflectance （D2） and the log-transformed reflectance （LOG）. GRNN based on D1 was the best model for the prediction of rice LAI and CLCD. The relationships between different transformations of reflectance and rice parameters could be further improved when RBF was employed. Owing to its strong capacity for nonlinear mapping and good robustness, GRNN could maximize the sensitivity to chlorophyll content using D1. It is concluded that RBF may provide a useful exploratory and predictive tool for the estimation of rice biophysical parameters.
