"MATLAB实现线性二次型最优控制系统设计方法"

Linear quadratic optimal control, also known as LQ optimal control, is a powerful tool in designing control systems. In this paper, the implementation of linear quadratic optimal control in MATLAB is discussed. The use of MATLAB software allows for the design of a GUI control interface which provides a user-friendly platform for implementing optimal control strategies. The paper covers four main areas of research: continuous system linear quadratic optimal control in MATLAB, discrete system linear quadratic optimal control in MATLAB, optimal observer implementation in MATLAB, and Linear Quadratic Gaussian optimal control in MATLAB. Each of these research areas is explored through the design of different GUI interfaces and the implementation of various programming functions to achieve optimal control. The paper also discusses the practical applications of each research area and the specific performance criteria used in each design. Overall, this paper provides a comprehensive overview of the implementation of linear quadratic optimal control in MATLAB, highlighting the versatility and efficiency of this method in designing control systems. Through the use of MATLAB software and the development of GUI control interfaces, researchers and practitioners can easily implement optimal control strategies for a wide range of applications. Key words: linear quadratic, optimal control, GUI control interface, optimal observer, Gaussian optimal control.