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控制系统

Control Systems

课程介绍 Course Introduction

学分:3 | 先修课:信号与系统、微分方程 | 学期:第6学期

控制系统是电气工程与自动化专业的核心课程,讲授反馈控制系统的建模、分析与设计方法。课程内容包括线性系统数学模型、传递函数与方块图、状态空间描述、时域性能指标与稳定性判据、根轨迹法、频域分析中的伯德图与奈奎斯特判据、PID 控制器设计与超前滞后校正。结合 MATLAB/Simulink 仿真,培养学生对实际工程系统的分析设计与调试能力。

Control Systems is a core course for electrical engineering and automation majors, teaching modeling, analysis, and design of feedback control systems. Topics include mathematical models of linear systems, transfer functions and block diagrams, state-space representation, time-domain performance and stability criteria, root locus, Bode plots and Nyquist criterion in frequency-domain analysis, and PID controller design with lead-lag compensation. Combined with MATLAB/Simulink, it develops practical analysis, design, and tuning skills.

大作业 Final Project

作业标题:直流电机调速系统PID控制器设计与校正 / DC Motor Speed Control PID Design and Compensation

针对直流电机调速系统进行建模、PID控制器设计与频域校正,使用MATLAB/Simulink完成时域与频域性能验证。

Conduct modeling, PID controller design and frequency-domain compensation for a DC motor speed control system, using MATLAB/Simulink to complete time-domain and frequency-domain performance verification.

实施步骤 Implementation Steps

📋 示例:为一个真实的被控对象设计控制器,比如直流电机的调速系统。你需要建立电机的传递函数模型,用根轨迹法或频域法设计PID控制器参数,然后在MATLAB/Simulink中仿真,看看阶跃响应的超调量能不能控制在5%以内。
步骤 1
系统建模
本步骤是电气工程设计的关键环节,运用电路理论和专业方法解决电气系统问题。电气工程强调精确性和可靠性,每一步都需要严谨的理论分析和充分的实验验证。采用行业标准设计方法和专业EDA工具保证设计质量。

• 依据电气设计规范和标准,制定详细的技术方案和测试方法
• 使用专业EDA软件(Cadence/Altium/Multisim/PSpice等)进行设计、仿真和分析
• 进行功能测试、性能测试和可靠性验证,确保满足设计指标和标准要求
产出:电气工程设计报告(含原理图、计算过程、仿真结果、测试数据) | 质量标准:设计规范、计算准确、仿真充分、测试合格
步骤 2
性能分析
本步骤对电气工程问题进行深入分析,明确设计指标和技术要求。电气工程涉及强电和弱电多个领域,需从功能需求、性能指标、约束条件等多维度分析。通过需求分析和指标分解确定设计输入,为后续电路设计和系统实现奠定基础。

• 分析系统功能需求和性能指标,包括频率响应、增益、带宽、信噪比、功耗等关键参数
• 确定约束条件,如电源电压、工作温度、尺寸限制、成本预算、电磁兼容要求等
• 查阅相关技术标准和规范(如GB、IEC、IEEE标准),明确设计依据和测试方法
产出:需求分析报告(含功能需求、性能指标、约束条件、设计依据、技术路线) | 质量标准:需求明确、指标具体、约束清晰、依据充分
步骤 3
PID控制器设计
本步骤进行电气系统或电路的方案设计,将功能指标转化为具体的电路结构和参数。电路设计是电气工程的核心,需在性能、功耗、成本和可靠性之间寻求最优平衡。采用模块化设计方法,通过理论计算和仿真验证迭代优化设计方案。

• 选择电路拓扑结构,确定系统架构和模块划分,设计信号流向和接口规范
• 进行元器件选型和参数计算,依据器件手册(datasheet)确定工作点和外围元件参数
• 使用Cadence、Altium Designer或Multisim绘制电路原理图,进行设计规则检查(DRC)
产出:设计文档(含电路原理图、BOM表、参数计算、元器件选型说明、接口定义) | 质量标准:拓扑合理、参数正确、选型得当、满足指标
步骤 4
频域分析
本步骤对电气工程问题进行深入分析,明确设计指标和技术要求。电气工程涉及强电和弱电多个领域,需从功能需求、性能指标、约束条件等多维度分析。通过需求分析和指标分解确定设计输入,为后续电路设计和系统实现奠定基础。

• 分析系统功能需求和性能指标,包括频率响应、增益、带宽、信噪比、功耗等关键参数
• 确定约束条件,如电源电压、工作温度、尺寸限制、成本预算、电磁兼容要求等
• 查阅相关技术标准和规范(如GB、IEC、IEEE标准),明确设计依据和测试方法
产出:需求分析报告(含功能需求、性能指标、约束条件、设计依据、技术路线) | 质量标准:需求明确、指标具体、约束清晰、依据充分
步骤 5
Simulink仿真与报告
本步骤使用仿真软件对电路或系统进行仿真验证,在制作实物前全面验证设计性能。仿真是现代电子设计的必要手段,可以快速验证电路功能、分析参数敏感性、发现潜在问题。通过SPICE仿真、频域分析和瞬态分析多维度验证设计。

• 建立仿真模型,设置元器件模型参数和激励源,确保仿真模型准确反映实际电路
• 进行直流工作点分析、交流小信号分析、瞬态分析、噪声分析和蒙特卡洛分析
• 进行参数扫描和温度扫描,分析关键参数变化对系统性能的影响
产出:仿真报告(含仿真电路、波形曲线、性能参数、参数扫描结果、问题分析) | 质量标准:模型准确、覆盖全面、波形合理、指标达标

Steps

Step 1
System Modeling
This step is a critical element in electrical engineering design, using circuit theory and professional methods to solve electrical system problems. Electrical engineering emphasizes precision and reliability, requiring rigorous theoretical analysis and sufficient experimental verification at every step. Industry standard design methods and professional EDA tools are used to ensure design quality.

• Develop detailed technical solutions and test methods according to electrical design specifications and standards
• Use professional EDA software (Cadence/Altium/Multisim/PSpice, etc.) for design, simulation and analysis
• Perform functional testing, performance testing and reliability verification, ensuring meeting design specifications and standard requirements
Deliverable: Electrical engineering design report (including schematics, calculation process, simulation results, test data) | Quality standard: Standard design, accurate calculation, sufficient simulation, qualified testing
Step 2
Performance Analysis
This step conducts in-depth analysis of electrical engineering problems, clarifying design specifications and technical requirements. Electrical engineering covers multiple fields of power and electronics, requiring multi-dimensional analysis from functional requirements, performance indicators, constraint conditions, etc. Determine design inputs through requirements analysis and specification decomposition, laying the foundation for subsequent circuit design and system implementation.

• Analyze system functional requirements and performance indicators, including frequency response, gain, bandwidth, SNR, power consumption and other key parameters
• Determine constraint conditions, such as supply voltage, operating temperature, size limits, cost budget, EMC requirements, etc.
• Consult relevant technical standards and specifications (GB, IEC, IEEE standards), clarify design basis and test methods
Deliverable: Requirements analysis report (including functional requirements, performance specifications, constraints, design basis, technical route) | Quality standard: Clear requirements, specific indicators, clear constraints, sufficient basis
Step 3
PID Controller Design
This step performs scheme design of electrical systems or circuits, translating functional specifications into specific circuit structures and parameters. Circuit design is the core of electrical engineering, requiring optimal balance among performance, power consumption, cost and reliability. Adopt modular design methods, iteratively optimize design schemes through theoretical calculation and simulation verification.

• Select circuit topology, determine system architecture and module division, design signal flow and interface specifications
• Perform component selection and parameter calculation, determine operating point and peripheral component parameters based on device datasheets
• Draw circuit schematics using Cadence, Altium Designer or Multisim, perform design rule check (DRC)
Deliverable: Design document (including circuit schematic, BOM table, parameter calculation, component selection description, interface definition) | Quality standard: Reasonable topology, correct parameters, appropriate selection, meeting specifications
Step 4
Frequency Domain Analysis
This step conducts in-depth analysis of electrical engineering problems, clarifying design specifications and technical requirements. Electrical engineering covers multiple fields of power and electronics, requiring multi-dimensional analysis from functional requirements, performance indicators, constraint conditions, etc. Determine design inputs through requirements analysis and specification decomposition, laying the foundation for subsequent circuit design and system implementation.

• Analyze system functional requirements and performance indicators, including frequency response, gain, bandwidth, SNR, power consumption and other key parameters
• Determine constraint conditions, such as supply voltage, operating temperature, size limits, cost budget, EMC requirements, etc.
• Consult relevant technical standards and specifications (GB, IEC, IEEE standards), clarify design basis and test methods
Deliverable: Requirements analysis report (including functional requirements, performance specifications, constraints, design basis, technical route) | Quality standard: Clear requirements, specific indicators, clear constraints, sufficient basis
Step 5
Simulink Simulation and Report
This step uses simulation software for circuit or system simulation verification, comprehensively verifying design performance before physical implementation. Simulation is an essential means in modern electronic design, enabling quick verification of circuit functionality, analysis of parameter sensitivity, and discovery of potential problems. Multi-dimensional design verification through SPICE simulation, frequency domain analysis and transient analysis.

• Build simulation model, set component model parameters and excitation sources, ensuring the simulation model accurately reflects the actual circuit
• Perform DC operating point analysis, AC small signal analysis, transient analysis, noise analysis and Monte Carlo analysis
• Conduct parameter sweep and temperature sweep, analyze the influence of key parameter changes on system performance
Deliverable: Simulation report (including simulation circuit, waveform curves, performance parameters, parameter sweep results, problem analysis) | Quality standard: Accurate model, comprehensive coverage, reasonable waveforms, specifications met
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