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"Recent developments in model-predictive control promise remarkable opportunities for designing multi-input, multi-output control systems and improving the control of single-input, single-output systems. This volume provides a definitive survey of the latest model-predictive control methods available to engineers and scientists today.The initial set of chapters present various methods for managing uncertainty in systems, including stochastic model-predictive control. With the advent of affordable and fast computation, control engineers now need to think about using “computationally intensive controls,” so the second part of this book addresses the solution of optimization problems in “real” time for model-predictive control. The theory and applications of control theory often influence each other, so the last section of Handbook of Model Predictive Control rounds out the book with representative applications to automobiles, healthcare, robotics, and finance.The chapters in this volume will be useful to working engineers, scientists, and mathematicians, as well as students and faculty interested in the progression of control theory. Future developments in MPC will no doubt build from concepts demonstrated in this book and anyone with an interest in MPC will find fruitful information and suggestions for additional reading."

"This book considers the multi-parametric Nonlinear Programming (mp-NLP) approaches to explicit approximate NMPC of constrained nonlinear systems, developed by the authors, as well as their applications to various NMPC problem formulations and several case studies. The following types of nonlinear systems are considered, resulting in different NMPC problem formulations;Ø Nonlinear systems described by first-principles models and nonlinear systems described by black-box models;- Nonlinear systems with continuous control inputs and nonlinear systems with quantized control inputs;- Nonlinear systems without uncertainty and nonlinear systems with uncertainties (polyhedral description of uncertainty and stochastic description of uncertainty);- Nonlinear systems, consisting of interconnected nonlinear sub-systems.The proposed mp-NLP approaches are illustrated with applications to several case studies, which are taken from diverse areas such as automotive mechatronics, compressor control, combustion plant control, reactor control, pH maintaining system control, cart and spring system control, and diving computers. "

"Pengendalian level fluida di dalam tabung dan pengendalian aliran fluida antar beberapa tabung merupakan permasalahan dasar dalam industri proses. Masukan aliran fluida ke dalam tabung dan antar tabung haruslah dijaga pada kondisi tertentu sehingga keluaran sistem bisa sesuai dengan yang diinginkan. Berbagai macam pengendali dirancang untuk mengendalikan level fluida ini dengan baik, sehingga error yang dihasilkan pun semakin bisa diminimalisir. Pengendali PID dan MPC merupakan contoh pengendali yang bisa digunakan dalam mengontrol level fluida tersebut.Di dalam seminar tesis ini akan dirancang pengendali PID (Proportional-Integral-Derivative) dan Model Predictive Control (MPC) untuk mengendalikan level fluida di dua tangki terhubung. Sebelum pengendali PID dan MPC ini dirancang, model non-linier terlebih dahulu dibentuk bedasarkan sistem dua masukan aliran fluida dan dua keluaran sistem berupa ketinggian level fluida pada kedua tabung. Model non-linier sistem multivariabel (Two Input Two Output - TITO) ini kemudian dilinierisasi pada titik kerja yang dipilih untuk memperoleh nilai ruang keadaan A, B, C dan D yang kemudian digunakan untuk membentuk fungsi alih sistem. Selain proses linierisasi, identifikasi dengan metode Kuadrat Terkecil juga dilakukan untuk menghasilkan model linier sistem yang baru sebagai pendekatan dalam mengontrol model non-linier sistem dengan MPC.Dalam sistem multivariabel coupled-tanks ini masih terdapat interaksi yang kuat antar variabel masukan-keluaran, sehingga fungsi alih dekopler pun dirancang untuk mengurangi atau menghilangkan efek kopling antar variabel masukan-keluaran ini. Pengendali PID dan MPC yang dirancang akan digunakan dalam simulasi untuk mengendalikan model linier/fungsi alih (dengan dekopler) dan model non-linier sistem.Hasil simulasi pengendali PID dan MPC untuk model linier menunjukkan respon sistem yang baik, dimana waktu settling-nya cenderung relatif kecil. Juga hasil simulasi pengendali PID dan MPC untuk model non-linier, meskipun menunjukkan respon sistem yang cenderung lambat, masih bisa dikatan relatif baik. Setelah membandingkan hasil simulasi sistem dengan pengendali PID dan MPC yang dirancang, maka MPC merupakan pengendali yang lebih baik digunakan untuk mengendalikan sistem multivariabel coupled-tanks ini.

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The control of liquid level in tanks and flow between tanks is a basic problem in the process industries. The amount of liquid flowed into tanks and the flow of liquid between tanks has to be maintained at certain conditions in order to meet the desired performances. Many controllers have been designed to control the liquid level in tanks with the intention of reducing errors during and or after control process. PID controller and MPC are two of many controllers that could be designed to control the liquid level in tanks.

In this Master's thesis, PID (Proportional-Integral-Derivative) controller and Model Predictive Control (MPC) are designed to control the liquid levels in two coupled tanks. Before designing PID controller and MPC, the complete nonlinear dynamic model of the plant needed to be introduced for a case involving two input flows of liquid and two output variables, which are the level of the liquid in two tanks.

This multivariable (Two Input Two Output - TITO) nonlinear model would be then linearised based on selected operating point in order to obtain the value of state-space variables A, B, C and D. These values are converted to transfer function form. Besides that, system identification with Least Square method is also used to yield a new state-space model as an approach model to control the nonlinear model with MPC. Due to the high interactions between input-output variables, decoupler needed to be designed with the aim of reducing or eradicate these between input-output variables coupling effects. Afterwards, the designed PID controller and MPC will be used in simulation in controlling the linear model/transfer function (with decoupler) and the nonlinear model of the coupled-tanks multivariable system.

The result of simulation using PID controller and MPC in controlling the linear model of the system shows good performance in terms of rise time and settling time. In Addition, the result of simulation using nonlinear model, despite the slow system's response, shows satisfactory performance in terms of steady-state behavior, in which the output signals eventually meets the desired reference signals. After comparing the results of system simulation both with PID Controller and MPC, the writer may then infers that MPC is the better one to control this coupled-tanks multivariable system."

"Pengendali prediktif menggunakan prediksi dari keluaran sistem yang akan dikendalikan. Nilai prediksi ini didapat dari pemodelan sistem, dimana penggunaan model sistem pada proses perancangan, menjadi ciri khas dari pengendali prediktif. Pengendali prediktif atau dalam banyak literatur sering disebut sebagai Model Predictive Control, merupakan metode pengendali yang dapat memperhitungkan batasan-batasan (costraints) yang ada dalam sistem. Sehingga kehadiran constraints pada sistem dapat diperhitungkan dengan menggunakan algoritma MPC.Dalam skripsi ini algoritma MPC diterapkan pada sistem dua tangki dengan satu masukan dan satu keluaran. Masukan sistem berupa tegangan pompa sedangkan keluarannya berupa tinggi fluida pada tangki. Batasan amplitudo sinyal kendali diterapkan pada perancangan ini untuk melihat kinerja MPC dalam menangani constraints. Solusi Quadratic Programming yang digunakan untuk menangani kasus MPC dengan constraints pada skripsi ini adalah metode Active Set. Dalam metode Active Set, nilai sinyal kendali diambil supaya ada bagian dari pertidaksamaan constraints menjadi persamaan. Kemudian dengan menggunakan kondisi Karush-Kuhn-Tucker solusi yang berupa nilai optimal dari perubahan sinyal kendali akan didapat.Hasil simulasi yang dilakukan menunjukkan, keluaran selalu dapat mengikuti trayektori acuan dan sinyal kendali yang didapat juga baik. Hasil simulasi juga menunjukkan bahwa faktor bobot pada sinyal kendali R, dan panjangnya Prediction Horizon P, sangat mempengaruhi unjuk kerja dari algoritma MPC. Perbandingan juga dilakukan antara alogritma MPC constraints dengan algoritma pengendali Formula Ackermann, dimana MPC constraints menunjukkan kinerja yang lebih baik."

"The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application."