System modeling & control design
Build Simulink/Modelica block diagrams and tune controllers to specs.
20 project-authored proposals · taxonomy v1.1 · 0 new benchmark runs. Verifiers and partial-credit rules below are designs, not executed results.
- Typical applications
- MATLAB/Simulink · OpenModelica · Dymola
- Class GUI-need label
HY· Hybrid
Task proposals · 20
Expand to inspect the complete original wording and proposed checks. Original proposal text remains English in both interfaces.
R07.02.02.02-T01 Simulink: mass-spring-damper step response matching analytic overshoot
Original instruction
In Simulink, build output/msd.slx from blocks (Integrators, Gains, Sum, Step): m = 1 kg, k = 20 N/m, c = 2 N·s/m, 1 N step at t = 0, 10 s, fixed-step 1 ms. Log position to the workspace variable x and save.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 2 / 5
Proposed verifier
Grader runs sim('msd') headless: overshoot and peak time within 1% of analytic; get_param inspection finds Integrator/Gain blocks with the parameters (no MATLAB Function/Transfer Fcn shortcut, no add_block-built model: Simulink model history 'LastModifiedBy' GUI session).
Proposed partial credit
30% block structure; 20% solver settings; 50% response matches.
R07.02.02.02-T02 Simulink: reproduce a PID + saturation loop from a diagram image
Original instruction
Rebuild the closed loop shown in input/diagram.png (PID with derivative filter, rate limiter, saturation ±10, plant 5/(s²+3s+5), sensor delay 0.05 s) in Simulink as output/loop.slx with the parameter values printed in the image, and log y.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clickvis· Visual judgment- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 3 / 5
Proposed verifier
Simulated y vs reference trace RMSE < 1e-3 for the step and for a hidden ramp input; block types and connection topology equal to reference (graph isomorphism of block types).
Proposed partial credit
40% topology; 20% parameters; 40% trace RMSE.
R07.02.02.02-T03 Simulink: break an algebraic loop with a Unit Delay
Original instruction
input/loop_alg.slx reports an algebraic loop in the discrete controller (Ts = 0.01 s). Insert a Unit Delay at the location that preserves the intended difference equation in input/controller_eq.pdf, run, and save output/loop_fixed.slx.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clickvis· Visual judgment- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 3 / 5
Proposed verifier
Model compiles with no algebraic-loop diagnostic; exactly one Unit Delay added at the reference signal path; output trace matches the difference equation implementation (RMSE < 1e-9).
Proposed partial credit
30% loop removed; 40% correct location; 30% output matches.
R07.02.02.02-T04 Simscape Electrical: RC low-pass with −3 dB at 1 kHz
Original instruction
In Simscape Electrical, build an RC low-pass (choose R and C from E12 values) with −3 dB at 1 kHz ±5%, drive with a swept sine, and use Model Linearizer or frequency response estimation to save the Bode magnitude at 1 kHz to output/bode.json.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Simscape
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & click- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 2 / 5
Proposed verifier
Model uses Simscape Resistor/Capacitor blocks with E12 values; grader linearises: |H(1 kHz)| = −3 ±0.3 dB; reported value matches.
Proposed partial credit
40% physical circuit; 20% E12 values; 40% magnitude at 1 kHz.
R07.02.02.02-T05 Simulink PID Tuner: meet overshoot, settling and phase-margin specs
Original instruction
For plant G(s) = 1/(s(s+2)) in input/servo.slx, tune the PID Controller block with PID Tuner so overshoot < 10%, 2% settling < 2 s, phase margin > 45°, and control effort |u| < 20 for a unit step. Save gains in the block.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · PID Tuner
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
click· Point & clickdrag· Drag & dropvis· Visual judgment- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 3 / 5
Proposed verifier
Grader simulates and linearises the saved model: all four specs met; gains stored in the PID block (not workspace variables set by script).
Proposed partial credit
25% overshoot under 10 pct; 25% settling < 2 s; 25% phase margin > 45°; 25% |u| < 20.
R07.02.02.02-T06 OpenModelica: DC motor with gearbox and load from MSL components
Original instruction
In OMEdit, build output/MotorDrive.mo from Modelica Standard Library components: DC PM motor (parameters in input/motor.pdf), ideal gear ratio 12, inertia load 0.02 kg·m², 24 V step. Simulate 2 s and save load speed.
- Platforms
win· Windowslin· Linuxmac· macOS- Applications
- OpenModelica · OMEdit
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
- None declared
- Proposed difficulty
- 3 / 5
Proposed verifier
Grader compiles with omc: model uses MSL DCPM/IdealGear/Inertia components (component types check); final speed and time constant within 1% of reference.
Proposed partial credit
40% component structure; 20% parameters; 40% response.
R07.02.02.02-T07 Dymola: room thermal model with PI heating to comfort spec
Original instruction
In Dymola with the Modelica Buildings library, build a single-zone room (geometry and constructions in input/room.pdf) with a radiator controlled by a PI on air temperature; tune so the zone stays within 20–22 °C for the 3-day weather file, with heating energy reported.
- Platforms
win· Windowslin· Linux- Applications
- Dymola · Modelica Buildings
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro applong· Long-horizon- Proposed difficulty
- 4 / 5
Proposed verifier
Grader simulates the saved model: comfort violation degree-hours ≤ 1 Kh; heating energy within 5% of reference; Buildings components used.
Proposed partial credit
30% room model; 20% controller; 30% comfort; 20% energy.
R07.02.02.02-T08 Stateflow: traffic-light controller with pedestrian request
Original instruction
Add a Stateflow chart to input/junction.slx implementing the timing in input/traffic_spec.pdf (green 25 s, amber 4 s, all-red 2 s, pedestrian request shortens green to ≥ 8 s remaining). Run the provided test harness.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Stateflow
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 4 / 5
Proposed verifier
Grader runs 6 hidden test scenarios (pedestrian at various times) and checks light-state timelines exactly; chart must be Stateflow (not MATLAB Function).
Proposed partial credit
30% base cycle; 40% pedestrian behaviour; 30% hidden scenarios.
R07.02.02.02-T09 Simulink: discretise a controller and generate embedded C
Original instruction
Convert the continuous controller subsystem in input/motor_ctrl.slx to discrete at 1 kHz (Tustin), set fixed-step solver, single-precision data types, and generate ERT C code for the subsystem with Embedded Coder; the closed loop must still meet the overshoot spec.
- Platforms
win· Windowslin· Linux- Applications
- MATLAB/Simulink · Embedded Coder
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
click· Point & clicktype· Text & forms- Work product
WP06· Code/engineering- Conditions
licensed· Licensed pro app- Proposed difficulty
- 4 / 5
Proposed verifier
Model: discrete blocks at 1e-3, single types; generated code compiles (gcc) and its SIL output matches model output (max error < 1e-4); closed-loop overshoot < 8%.
Proposed partial credit
30% discretisation; 20% data types; 30% code generated and compiles; 20% SIL equivalence.
R07.02.02.02-T10 Simulink: LQR for a nonlinear cart-pole
Original instruction
Using input/cartpole_nonlinear.slx, design an LQR from the linearised model (Control System Toolbox), implement it as state feedback in the model, and achieve pole angle < 2° and cart within ±0.3 m under a 1 N, 0.1 s impulse at t = 1 s.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Control System Toolbox
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
click· Point & clicktype· Text & formsdrag· Drag & drop- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 4 / 5
Proposed verifier
Grader simulates the saved nonlinear model with the disturbance: max |θ| < 2°, |x| < 0.3 m, force within actuator limit 15 N; K matrix stored in the Gain block.
Proposed partial credit
30% linearisation/LQR; 20% implementation; 50% specs met.
R07.02.02.02-T11 OpenModelica: inverted pendulum with MultiBody animation
Original instruction
Build a cart-pendulum in OMEdit using Modelica.Mechanics.MultiBody (prismatic + revolute joints, bodies per input/pendulum.pdf) with a PD on angle, simulate 5 s from 5° initial angle, and save the animation result.
- Platforms
win· Windowslin· Linuxmac· macOS- Applications
- OpenModelica · OMEdit
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
- None declared
- Proposed difficulty
- 4 / 5
Proposed verifier
Grader compiles and simulates: angle settles below 0.5° by t = 3 s; MultiBody components used (World, Prismatic, Revolute, BodyShape).
Proposed partial credit
40% multibody structure; 20% controller; 40% response.
R07.02.02.02-T12 Scilab Xcos: PI tank-level control
Original instruction
In Scilab Xcos, build the tank-level loop from input/tank.pdf (nonlinear outflow √h, pump saturation 0–5 L/s) with a PI controller and anti-windup, simulate a level setpoint step 0.5→1.2 m, and save output/tank.zcos with the response exported to CSV.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- Scilab Xcos
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
- None declared
- Proposed difficulty
- 3 / 5
Proposed verifier
Grader runs the diagram with scilab-cli: overshoot < 5%, settling < 120 s; anti-windup structure present (saturation feedback); CSV matches simulation.
Proposed partial credit
30% plant model; 30% PI with anti-windup; 40% response specs.
R07.02.02.02-T13 Simulink: cascaded motor current and speed loops with anti-windup
Original instruction
In input/bldc_drive.slx (averaged motor model), design inner current and outer speed PI loops with saturation and back-calculation anti-windup meeting input/drive_spec.pdf (current BW ≥ 1 kHz, speed overshoot < 5%, recovery from load step < 50 ms).
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & formsvis· Visual judgment- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro applong· Long-horizon- Proposed difficulty
- 5 / 5
Proposed verifier
Grader linearises inner loop for bandwidth and simulates speed step + load step; all specs; anti-windup verified by forcing saturation (no integrator windup overshoot > 10%).
Proposed partial credit
25% current-loop BW; 25% speed overshoot; 25% load recovery; 25% anti-windup.
R07.02.02.02-T14 Dymola: series-hybrid powertrain fuel use over a drive cycle
Original instruction
Build a series-hybrid powertrain in Dymola (engine-generator map, battery, motor, vehicle from input/vehicle.json) with a thermostat SOC strategy (40–70%), run the WLTC Class 3 cycle, and report fuel consumption (L/100 km) and final SOC.
- Platforms
win· Windowslin· Linux- Applications
- Dymola
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro applong· Long-horizon- Proposed difficulty
- 5 / 5
Proposed verifier
Grader simulates the saved model: speed tracking error < 1 km/h RMS; fuel within 3% of reference; SOC within the band throughout and final SOC ±2 points.
Proposed partial credit
20% tracking; 30% strategy behaviour; 30% fuel; 20% SOC.
R07.02.02.02-T15 Simulink Model Linearizer: loop margins of an existing design
Original instruction
Open input/flight_pitch.slx, use Model Linearizer to linearise the open loop at the marked loop-opening point at the trim condition, and report gain and phase margins and crossover frequency to output/margins.json.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Simulink Control Design
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
click· Point & clickvis· Visual judgment- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 3 / 5
Proposed verifier
Margins within ±0.5 dB / ±1° and crossover ±2% of reference linearisation at the correct loop-opening point (a wrong point gives clearly different values).
Proposed partial credit
30% correct I/O points; 70% three numbers.
R07.02.02.02-T16 OpenModelica: fix an unbalanced heating-system model
Original instruction
input/HeatSys.mo fails to compile in OMEdit ('system is structurally singular / 2 more equations than variables'). Using the diagram view, find and fix the wrong connections and the duplicated fixed-temperature source so the model balances and matches input/expected.csv.
- Platforms
win· Windowslin· Linuxmac· macOS- Applications
- OpenModelica · OMEdit
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
click· Point & clickdrag· Drag & dropvis· Visual judgment- Work product
WP07· Simulation result- Conditions
- None declared
- Proposed difficulty
- 3 / 5
Proposed verifier
omc check passes (balanced); simulation output RMSE < 0.1 K vs expected.csv; connection diff vs reference fixes only the seeded faults.
Proposed partial credit
40% model balances; 40% output matches; 20% minimal changes.
R07.02.02.02-T17 Simulink: Kalman filter on a noisy position sensor
Original instruction
In input/tracker.slx, add a discrete Kalman Filter (Control System Toolbox block) for the constant-velocity model with noise covariances from input/noise.json so position RMSE vs truth drops by ≥ 60% relative to the raw sensor.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Control System Toolbox
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 4 / 5
Proposed verifier
Grader simulates with 3 hidden noise seeds: RMSE reduction ≥ 60% each; Kalman Filter block present with consistent A, C, Q, R.
Proposed partial credit
30% model matrices; 20% covariances; 50% RMSE reduction.
R07.02.02.02-T18 Simscape Multibody: two-link arm trajectory tracking under 1 mm
Original instruction
Build a 2-link planar arm in Simscape Multibody (links from input/arm.json), with computed-torque or PD+gravity control, tracking the end-effector circle in input/trajectory.csv (r = 0.15 m, 2 s period) with max error < 1 mm after the first period.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Simscape Multibody
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
drag· Drag & dropclick· Point & clicktype· Text & forms- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro applong· Long-horizon- Proposed difficulty
- 5 / 5
Proposed verifier
Grader simulates 6 s: max Cartesian error after t = 2 s < 1 mm (scaled credit to 5 mm); torque limits ±30 N·m respected; Multibody joints/solids used.
Proposed partial credit
30% multibody model; 20% controller; 50% tracking error (scaled).
R07.02.02.02-T19 Simulink Test: harness and five requirement-based test cases
Original instruction
For subsystem 'CruiseLogic' in input/cruise.slx, create a Simulink Test harness and a test file with five test cases covering the requirements in input/cruise_reqs.pdf (engage, disengage on brake, speed limits, resume, fault), each with verify statements. All must pass.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB/Simulink · Simulink Test
- Interfaces
desk· Desktop GUI- GUI need · task setting
HY· Hybrid- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
click· Point & clicktype· Text & formsdrag· Drag & drop- Work product
WP06· Code/engineering- Conditions
licensed· Licensed pro app- Proposed difficulty
- 3 / 5
Proposed verifier
Grader runs the test file: 5 tests pass; mutation check: on a seeded faulty CruiseLogic variant ≥ 4 of 5 tests fail (tests are meaningful).
Proposed partial credit
20% harness; 40% five passing tests; 40% mutation detection.
R07.02.02.02-T20 Control pair of T05: tune the servo PID with pidtune from a script
Original instruction
Control pair of T05. Without opening Simulink's GUI, write scripts/tune_servo.m that uses pidtune/set_param to meet the same four specs for input/servo.slx and saves the gains into the PID block.
- Platforms
win· Windowsmac· macOSlin· Linux- Applications
- MATLAB
- Interfaces
term· Terminalapi· API/SDK- GUI need · task setting
CL· CLI-sufficient- GUI need · ordinary access
CL· CLI-sufficient- Interaction primitives
code· Code & commands- Work product
WP07· Simulation result- Conditions
licensed· Licensed pro app- Proposed difficulty
- 2 / 5
Proposed verifier
Same spec checks as T05 on the saved model; reported as the scripted baseline for the GUI tuning task.
Proposed partial credit
25% overshoot under 10 pct; 25% settling < 2 s; 25% phase margin > 45°; 25% |u| < 20.
Mapped research references
Existing benchmark-to-class links from the research catalog. They are not record-level annotations, executions or product endorsements.