- Level 3 Diploma in Adult Care, Coursework, UK: Understand the application of personcentred practices in care settings
- Decide whether each of the following statements is true or false. Justify your answer in each case by giving an example or stating any general result seen at the lecture: Mathematics, Coursework, NU, UK
- 7CO03: Critically assess different ethical standpoints on people practice and the maintenance of high standards of ethical behaviour: CIPD level 7 , Coursework, UK
- SQE2: Oral Skills-Written Skills- Apply the law comprehensively to the client’s situation, identifying any ethical and professional conduct issues: Reflective Portfolio, Coursework, UK
- SQE 1 Preparation: Portfolio Assessment-analyse and reflect upon your development of the practical legal skills that the Solicitors Regulation Authority (the SRA) : Reflective Portfolio, Coursework, UK
- DSM120: Financial Data Modelling, Coursework 1, UK
- DSM070: Building the Blockchain: the chain, mining, and the consensus mechanism: Blockchain Programming, Coursework 3, UOL, UK
- FHEQ Level 7 ES5800 – Systematic review protocol In this assessment you are asked to write a systematic review protocol: Analytical skills for Environmental Managers, Coursework, BUL, UK
- FHEQ Level 7 ES5800 – Data analysis As part of your learning activities in the autumn 2023 term, you have measured reaction times using the ruler drop test among athletes: Analytical skills for Environmental Managers, Coursework, BUL, UK
- FHEQ Level 7 ES5800 – Analytical skills for Environmental Managers, Coursework, BUL, UK
- CIPD – 5CO02: Quantitative and qualitative analysis review: Evidence-based practice, Coursework, MOL, UK
- CIPD – 5CO02: You are to produce a report that provides the Senior Management team with knowledge and understanding of what evidence based practice: Evidence-based practice, Coursework, MOL, UK
- CIPD – 5CO02: Your manager has just returned from the monthly Senior Management meeting where all departmental heads have been asked to present a report: Evidence-based practice, Course Work, MOL, UK
- To apply the concepts covered during the lectures to practical reactor engineering design problems: Advanced Reaction Engineering, Coursework, LSBU, UK
- In this part of the coursework, you will determine the mechanism and develop a rate law for a catalytic reaction from experimental data: Advanced Reaction Engineering, Coursework, LSBU, UK
- Advanced Reaction Engineering, Coursework, LSBU, UK
- Health and Wellbeing in Adult Care, Equality, Diversity, Inclusion and Human Rights Leading Person centred Practice (Unit 17-18-and-16)- Brief: Level 5 Diploma in Leadership and Management for Adult Care (England) Assignment, UCN, UK
- CSC8016 Advanced Programming, Coursework, CS, UK
- FE4055QA Understanding the Business and Economic Environment, Individual Coursework, LMU, UK
- Select machine, mechanism used for lifting of objects: lifting and transport, Coursework, UOM, UK
EENG8760: This stretch of river can be modeled using a pure time delay model The transfer function of a pure time delay model in the Laplace: Advanced Control Systems Coursework, UOK, UK
University | University of kent (UOK) |
Subject | EENG8760: Advanced Control Systems |
Question 1
(a) This stretch of river can be modeled using a pure time delay model. The transfer function of a pure time delay model in the Laplace domain is given by
Let the time delay be r = 25 hours and assume the sampling interval, 7’s= 5 hours. Obtain the discrete state-space representation for this pure time delay model. State clearly the A, B, C, and D matrices. Show your detailed calculation.
(b) After you have obtained the discrete state-space model, augment the plant with the disturbance model using the following equations.
with 0 and I am respectively zero and identity matrices of appropriate size.
Question 2
(a) In Figure 1, the discrete transfer function of the integral controller, C(z) used to regulate the flow at Casey’s Weir is given by
Let K, = 0.05, obtain the discrete state-space representation of this integral controller. Label the integral controller’s matrices as A1<, BK, CK, and DK.
(b) The city council require that the flow at Gowangardie Weir must be maintained at a minimum flow of 0.3m3/s for environmental purposes.
Suppose that the base flow of this river reach is at 0.6m3/s. Using the provided Simulink file, “Simulink ReachCG.sli’, let us assume farmers located close to Gowangardie Weir have a requirement to withdraw water from 105 hours onwards at 0.4 m3/s.
The integral controller is given in Question 2a) is to be used to restore the flow at Gowangardie Weir.
Question 3
(a) Given the imposed flow constraint, a Model Predictive Controller (MPC) has been proposed to replace the integral controller, as MPC has the potential to yield improved performance in the presence of constraints.
However, tuning the weighting matrices in the MPC cost function is often non-trivial.
One method to obtain the weighting matrices is to solve an inverse optimal control problem. In other words, we select a favorite controller Krav that is easy to tune and subsequently obtain MPC weighting matrices that can mimic Kfav by solving the inverse optimal control problem.
Using the full order observer method introduced in 7165MAA lecture week 5, obtain the weighting matrices (i.e. Q. R and S) that reproduce Kfav, i.e. the integral-controller given in Question 2 a). Show your detailed calculation.
(b) Run your updated “mpc ReachCG.nt, to design the MPC controller using the MPC weighting matrices obtained using the full state observer method, as computed in Question 3(a). Use a prediction horizon of 10. Compare and comment on the results of the MPC controller with those obtained using the integral controller simulated in Question 2(b), in the absence of constraints.
(c) Impose the output flow constraint set by the city council given in Question 2(b) in your MPC simulation. Critically assess and compare the performance of the MPC and I controllers.
(d) For MPC, in the presence of the output flow constraint, critically assess and compare the performance for the prediction horizon parameter set to 2, 5, and 10.
Do You Need Assignment of This Question
Looking for the best assignment writing online on EENG8760: Advanced Control Systems? then consult the experts of Students Assignment Help UK where our brilliant experts assist you to provide error-free and 100% plagiarism-free solutions on BTEC Assignment Help at a most reasonable price.