ELEC4631 Chap.13 Midterm and Final Playbook: How ELEC4631 Asks and Marks Control Questions
Midterm and Final Playbook: How ELEC4631 Asks and Marks Control Questions
ELEC4631’s available evidence reveals answer culture more reliably than question prediction. The current Quiz 1 requires analytical working and gives no marks for MATLAB-only solutions. Older midterm reference answers repeatedly use the same completion pattern: identify the mathematical object, show the determinant/null space/derivative/rank/substitution, state the decisive condition and then name the property. Current logistics come from the 2026 Course Outline: a one-hour, Week 7, in-person, invigilated, closed-book midterm and a two-hour written, centrally timetabled, in-person, invigilated, closed-book final. A separate midterm note says three questions, Lectures 1–8, Tutorials 1–5 and one-sided handwritten A4 notes, but carries a stale year string and therefore remains attributed. The final is cumulative for CLO1–3 and adds final-only CLO4–5 design/optimisation; no published topic mark split supports a narrower prediction.
What this chapter covers
- 01Current-course source hierarchy
- 02Midterm confirmed versus attributed details
- 03Final confirmed facts and missing logistics
- 04Object-working-condition-conclusion answer shape
- 05Midterm skill map through early course
- 06Cumulative CLO1–3 and final-only CLO4–5
- 07Closed-book retrieval, verification and error control
Write a compact full-credit pole-placement response
- objectObject/permission: 𝒞=[[0,1],[1,0]] has determinant -1, so the pair is controllable.
- targetWorking: the target polynomial is (s+2)(s+3)=s^2+5s+6.
- workingA-BK=[[0,1],[-k1,-k2]] has polynomial s^2+k2s+k1; matching gives K=[6,5].
- conditionCondition/check: the recovered closed-loop polynomial is exactly s^2+5s+6.
- conclusionConclusion: both poles are in the open left half-plane, so the nominal LTI origin is globally asymptotically stable.
Key terms
- Analytical working
- A visible derivation—determinant, null space, derivative, rank, coefficient match, Riccati equation or substitution—rather than an unexplained software value.
- Answer shape
- Object, working, decisive condition and named conclusion, the repeatable structure visible across current quiz instructions and older solutions.
- Current logistics
- Dates, conditions, venue and materials for the active offering; these must come from the Course Outline, Moodle and official timetable.
- Reusable mathematics
- The theorem, algorithm and presentation structure that can be practised from older material using new numbers without predicting the live paper.
- Verification
- An independent return to trace/determinant, residual, rank, polynomial, equilibrium or Phi(0)=I before accepting a calculation.
- Scope sentence
- The final statement naming local/global, internal/BIBO, nominal/robust, feasible/optimal or stable/asymptotically stable as supported by the work.
Midterm and Final Playbook: How ELEC4631 Asks and Marks Control Questions FAQ
What should I revise for the midterm?
The Course Outline says material covered thus far; the attributed information note says Lectures 1–8 and Tutorials 1–5. Build skills in eigenstructure, quadratic forms, state-space models, the state equation, Lyapunov direct method, LTI stability, controllability, observability, transformations and pole placement. Tag old questions by the current schedule because restructuring can move topics.
How should final revision differ?
Keep CLO1–3 alive with short mixed drills, then add long blocks for LQR, observers/output feedback, LMI foundations and synthesis, reference tracking and nonlinear Lyapunov feedback. CLO4–5 are mapped to the final but not the midterm, but the Course Outline does not publish numerical topic weights, so use this as coverage priority rather than mark prediction.
What if the final question count is unknown?
Do not invent a timing split around a guessed paper. Practise setting up mixed questions quickly, show recoverable analytical steps and use the official reading time/instructions when released. The confirmed facts are two hours, written, centrally timetabled, in person, invigilated and closed book.
How do I use MATLAB while preparing?
Derive first, then use MATLAB to falsify mistakes: compare eigenvalues with trace/determinant, check ranks, evaluate Lyapunov/CARE/LMI residuals and simulate a fresh initial state. The current quiz explicitly says MATLAB-only solutions receive no marks, and the final itself is a closed-book no-assistance assessment.
Why are some source gaps mentioned?
The available corpus lacks numbered Lecture 6 and Lecture 9 decks, and extracted Mid Q2/Q3 artifacts contain essentially no recoverable mathematics. Stating those gaps prevents false detail. The official schedule and tutorial/later material still bound the course topics, but cannot justify invented slide examples or missing question numbers.
What should I do in the first minutes of a written control question?
Underline the verb and label the method family before calculating. Write dimensions of A,B,C,K,L or the domain of V. Put the defining object on the page: characteristic polynomial, state equation, candidate derivative, rank matrix, desired polynomial, CARE or original BMI. State the permission condition before design—full rank, stabilisability/detectability or positive-definite decision. Then do analytical working in a form another reader can follow. Reserve the last line for a named property with scope. If stuck, definitions and dimensions often earn recoverable progress and expose the next operation. This ritual is deliberately independent of an unknown final question count: it works whether a task is a short subpart or an integrated design problem and reflects the current instruction that software-only output is not credited.
How should I audit a completed paper or practice set?
Run five passes. Dimensions: every product exists and every recovered gain has the right shape. Signs: u=-Kx gives A-BK and e=x-xi with positive innovation gives A-LC. Symmetry: quadratic, Lyapunov, Riccati and LMI matrices are treated with their required transpose structure. Scope: local/global, internal/BIBO, nominal/robust, feasible/optimal and semidefinite/definite match the theorem. Independent checks: trace/determinant for roots, Phi(0)=I, equation residuals, rank comparisons, closed-loop polynomials and equilibrium substitution. Finally scan conclusions: every calculation should answer the requested property rather than ending with an orphan matrix. Practise this audit under a short time limit so it becomes automatic during the two-hour closed-book final.
Exam move
Build a closed-book recall sheet during study even though it cannot enter the final. Reconstruct it from memory: state equation, Lyapunov conditions, rank matrices, A-BK and A-LC, CARE, the feedback LMI and steady-state tracking equations. Practise one problem per method and force the four-stage finish. For the midterm, rehearse tutorial problems from a blank page and use old solutions only after completing your own chain. For the final, maintain early material and connect late methods: pole placement versus LQR versus LMIs; observability to L; separation to output feedback; regulation to tracking; Lyapunov analysis to nonlinear synthesis. Before the sitting, confirm date, time, venue and equipment on official channels. During every practice audit dimensions, signs, symmetry, strictness and scope.
Working through Midterm and Final Playbook: How ELEC4631 Asks and Marks Control Questions in ELEC4631? Sia is AskSia’s AI Engineering tutor — ask any ELEC4631 Midterm and Final Playbook: How ELEC4631 Asks and Marks Control Questions question and get a clear, step-by-step explanation grounded in how ELEC4631 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.
