This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference ...This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference model and the measurable output error, adaptive laws and controllers are designed for switched systems.Each subsystem may have its individual reference model and controller, which increases the design flexibility.The introduction of the closed-loop reference model is to get a better transient performance of the whole switched systems.A numerical example is provided to verify the effectiveness of the main results.展开更多
For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control （MRAC） with normalized adaptive law are investigated....For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control （MRAC） with normalized adaptive law are investigated. The main work includes three parts. Firstly, it is shown that the constructed parameter estimation algorithm not only possesses the same properties as those of traditional estimation algorithms, but also avoids the possibility of division by zero. Secondly, by establishing a relationship between the plant parameter estimate and the controller parameter estimate, some similar properties of the latter are also established. Thirdly, by using the relationship between the normalizing signal and all the signals of the closed-loop system, and some important mathematical tools on discrete-time systems, as in the continuous-time case, a systematic stability and robustness analysis approach to the discrete indirect robust MRAC scheme is developed rigorously.展开更多
For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumption...For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumptions. The algorithm is based on a new parametrization derived from the high frequency gain matrix factorization Kp=LDU under the condition that the signs of the leading principal minors of/fp are known. By reproving the discrete-time Lp and L2σ norm relationship between inputs and outputs, establishing the properties of discrete-time adaptive law, defining the normalizing signal, and relating the signal with all signals in the closed-loop system, the stability and convergence of the discrete-time multivariable model reference adaptive control scheme are analyzed rigorously in a systematic fashion as in the continuous-time case.展开更多
The problem of constructing a model reference adaptive control law for an uncertain 1- dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapu...The problem of constructing a model reference adaptive control law for an uncertain 1- dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon＇s inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman （Automatica, 1994）.展开更多
通过对模型参考自适应(MRAS)理论的研究,设计了一种基于MRAS理论的高精度永磁同步电机无速度传感器矢量控制算法。借助Matlab/Simulink工具对此控制系统进行了仿真研究,得到了与理论分析一致的仿真波形。为进一步检验控制策略的可行性,...通过对模型参考自适应(MRAS)理论的研究,设计了一种基于MRAS理论的高精度永磁同步电机无速度传感器矢量控制算法。借助Matlab/Simulink工具对此控制系统进行了仿真研究,得到了与理论分析一致的仿真波形。为进一步检验控制策略的可行性,在额定功率为2.2 k W、型号为SMTP100L1-50-22-4的永磁同步电机上进行验证实验,并与有速度传感器矢量控制相对比。实验结果表明,基于MRAS理论的无速度传感器控制可以替代光电编码器,很好地完成电机调速。展开更多
基金Sponsored by the National Natural Science Foundation of China(Grant No.61233002)the 111 Project(Grant No.B16009)the IAPI Fundamental Research Funds(Grant No.2013ZCX03-01)
文摘This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference model and the measurable output error, adaptive laws and controllers are designed for switched systems.Each subsystem may have its individual reference model and controller, which increases the design flexibility.The introduction of the closed-loop reference model is to get a better transient performance of the whole switched systems.A numerical example is provided to verify the effectiveness of the main results.
基金Supported by Program for New Century Excellent Talents in Universities of China （NCET-05-0607）, National Natural Science Foundation of China （60774010）, and Project for Fundamental Research of Natural Sciences in Universities of Jiangsu Province （07KJB510114）
基金Supported-by Program for New Century Excellent Talents in Universities of China （NCET-05-0607）, National Natural Science Foundation of China （60774010）, and Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province （07KJB510114）
基金supported by National Natural Science Foundation of China (No. 60774010, 10971256, 60974028)Natural Science Foundation of Jiangsu Province (No. BK2009083)+2 种基金Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province(No. 07KJB510114)Shandong Provincial Natural Science Foundation of China (No. ZR2009GM008)Natural Science Foundation of Jining University (No. 2009KJLX02)
文摘For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control （MRAC） with normalized adaptive law are investigated. The main work includes three parts. Firstly, it is shown that the constructed parameter estimation algorithm not only possesses the same properties as those of traditional estimation algorithms, but also avoids the possibility of division by zero. Secondly, by establishing a relationship between the plant parameter estimate and the controller parameter estimate, some similar properties of the latter are also established. Thirdly, by using the relationship between the normalizing signal and all the signals of the closed-loop system, and some important mathematical tools on discrete-time systems, as in the continuous-time case, a systematic stability and robustness analysis approach to the discrete indirect robust MRAC scheme is developed rigorously.
基金Program for New Century Excellent Talents in Universities of China (No.NCET-05-0607)National Natural Science Foundation ofChina (No.60774010).
文摘For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumptions. The algorithm is based on a new parametrization derived from the high frequency gain matrix factorization Kp=LDU under the condition that the signs of the leading principal minors of/fp are known. By reproving the discrete-time Lp and L2σ norm relationship between inputs and outputs, establishing the properties of discrete-time adaptive law, defining the normalizing signal, and relating the signal with all signals in the closed-loop system, the stability and convergence of the discrete-time multivariable model reference adaptive control scheme are analyzed rigorously in a systematic fashion as in the continuous-time case.
基金This research is supported by the National Natural Science Foundation of China under Grant No. 10626002, and the Fundamental Research Punds YWF-10-01-A15 for the Central Universities.
文摘The problem of constructing a model reference adaptive control law for an uncertain 1- dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon＇s inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman （Automatica, 1994）.
文摘通过对模型参考自适应(MRAS)理论的研究,设计了一种基于MRAS理论的高精度永磁同步电机无速度传感器矢量控制算法。借助Matlab/Simulink工具对此控制系统进行了仿真研究,得到了与理论分析一致的仿真波形。为进一步检验控制策略的可行性,在额定功率为2.2 k W、型号为SMTP100L1-50-22-4的永磁同步电机上进行验证实验,并与有速度传感器矢量控制相对比。实验结果表明,基于MRAS理论的无速度传感器控制可以替代光电编码器,很好地完成电机调速。
