CtrlSolve — 控制系统小工具（Bode/Nyquist/响应）

预览：浏览器里交互式控制分析图

CtrlSolve 是一个自部署的控制系统小工具：输入传递函数 G(s)，即可快速生成常用频域/时域图与关键指标。

适合做快速稳定性验证、裕度检查、设计试算、以及课堂演示；无需复杂环境，打开页面即可用。

频域图：伯德图（幅值 dB + 相位）、Nyquist 图、Nichols 图。
稳定性与设计：极零点图、根轨迹。
时域响应：阶跃响应、脉冲响应、斜坡响应。
指标汇总：稳定/不稳定、增益裕度 (GM)、相位裕度 (PM)。
更多细节：零极点列表与状态空间 (A,B,C,D)，支持 LaTeX 输入并可自动化简/展开常见表达式。

传递函数 G(s)

\frac{10}{s^2 + 2s + 10}

闭环分析 (Feedback)

Controller Design

Controller type Kp Ki Kd Filter tau Gain Zero Pole Time range Omega range

时域分析 (Time Domain)

阶跃响应 (Step Response)

脉冲响应 (Impulse Response)

斜坡响应 (Ramp Response)

频域分析 (Frequency Domain)

伯德图 (Bode Plot)

奈奎斯特图 (Nyquist Plot)

尼柯尔斯图 (Nichols Plot)

设计与稳定性 (Stability & Design)

极零点分布 (PZ Map)

根轨迹 (Root Locus)

Named I/O Interconnect

Build closed-loop systems from named blocks and connection tables.

Minimal SISO Closed-Loop Wizard

Plant P(s) num Plant P(s) den Controller C(s) num Controller C(s) den Feedback sign

r → Σ − → C(s)1 / 1 → P(s)1 / 1, 1 → y

feedback -y

Systems

Num Den

Connections

External Channels

Input Output Analyze

Validation

State Space

Enter A, B, C, D matrices and prepare state-feedback design workflows.

Matrices

A B C D

Model

Name Sample time Input names Output names

Analysis

Input channel Output channel Time range Omega range

Design

Method Q R

LQR / Kalman Closed-Loop Noise Simulation

LQR Q LQR R Kalman G Kalman QN Kalman RN Kalman NN Initial state Initial estimate State reference Input feedforward Duration Samples Process noise std Measurement noise std Random seed

Nonlinear

Explore phase-plane behavior for curated nonlinear system templates.

Model

Template Parameters Constant input Streamline direction

Phase Plane

Window Vector grid Initial states Duration Samples

Time Series

Initial state Duration Samples

Bifurcation

Parameter Parameter range Initial state State index Duration Transient Samples

Poincare

Initial state Duration Transient Samples State index Section value Direction Return state index

Lyapunov Scan

Parameter Parameter range Initial state Duration Transient Samples Perturbation

Validation

Data

Preview CSV and FRD-style data before identification or frequency analysis.

Import

t,u,y
0,0,0
0.1,1,0.05
0.2,1,0.14
0.3,1,0.26
0.4,1,0.39
0.5,1,0.52

Mapping

Delimiter Has header Preview rows Time Inputs Outputs

Identification

Method Input column Output column

Preview

Report

Collect model inputs, summaries, plots, and notes into a shareable analysis report.

Report Preview

CtrlSolve analysis

Run a classic analysis or save a workspace draft and the latest summary will appear here.

预览：浏览器里交互式控制分析图

Controller Design

Design Result

状态空间 (State Space)

零极点数值

Sensitivity & Robust Performance

阶跃响应 (Step Response)

脉冲响应 (Impulse Response)

斜坡响应 (Ramp Response)

伯德图 (Bode Plot)

奈奎斯特图 (Nyquist Plot)

尼柯尔斯图 (Nichols Plot)

极零点分布 (PZ Map)

根轨迹 (Root Locus)

Named I/O Interconnect

Minimal SISO Closed-Loop Wizard

Systems

Connections

External Channels

Validation

Analysis Result

Step Response

Impulse Response

Ramp Response

Bode Plot

Nyquist Plot

Nichols Plot

Pole-Zero Map

Root Locus

State Space

Matrices

Model

Analysis

Design

Analysis Result

Structural Diagnostics

Model Reduction

Reduction Result

Step Response Comparison

Bode Comparison

Design Result

LQR / Kalman Closed-Loop Noise Simulation

Closed-Loop Simulation Result

Step Response

Impulse Response

Ramp Response

Bode Plot

Pole-Zero Map

Nonlinear

Model

Phase Plane

Time Series

Bifurcation

Poincare

Lyapunov Scan

Validation

Analysis Result

Phase Portrait

States over Time

Parameter response

Poincare Section

Largest Lyapunov Exponent

Data

Import

Mapping

Identification

Preview

Identification Result

Report

Report Preview