倒立摆一阶控制系统（simulink+matlab）

简介：
单级倒立摆控制系统的实现方法 Inverted pendulum represents a typical highly dynamic, nonlinear system characterized by rapid changes, multiple variables, strong coupling, and natural instability. Given the prevalence of such systems in practical applications, studying them carries significant theoretical implications as well as methodological innovations. The present study focuses on the PID control system for a first-order inverted pendulum with comparative analysis across various control methodologies. The PID controller is distinguished by its simplicity in structure, clear physical significance of each parameter, and ease of engineering implementation—an attribute that remains highly applicable even amidst advancements in contemporary control theory[1]. For single-inverted pendulum systems, the PID controller has proven sufficient to achieve desired performance. The first part employs root locus analysis to design a controller ensuring superposition margin ≤10% and settling time within 0.5 seconds. MATLAB simulations are utilized to validate the controllers correctness. The second section utilizes frequency domain analysis for designing a compensator with phase margin ≥50°, gain margin ≥10dB, and static velocity error constant of 10.0 sec^-1. MATLAB simulations confirm the effectiveness of this compensator. Finally, a PID controller is designed to meet specifications: superposition margin ≤10%, settling time within 2 seconds. Through MATLAB simulation studies, the PID controllers performance is validated.