50918 - Basics of Model Predictive Control P.E. Orukpe...

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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 1/27 Basics of Model Predictive Control P.E. Orukpe Supervisor: Dr Imad Jaimuokha Imperial College,London
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 2/27 Outline Introduction Problem Formulation Solution to problem Examples Direction for future work Conclusion References
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 3/27 Introduction What is Model Predictive Control? MPC is a form of control in which the current control action is obtained by solving on-line , at each sampling instant, a finite horizon open-loop optimal control problem, using the current state of the plant as the initial state; the optimization yields an optimal control sequence and the first control in this sequence is applied to the plant.
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 4/27 Introduction cont’d Early Industrial MPC Application 1 Model Predictive Heuristic Control by Richalet et al. 1976 (Adersa). .. 2 Dynamic Matrix Control (DMC) by Cutler and Ramaker 1979 (Shell Oil). .. 3 Quadratic-Program Dynamic Matrix Control (QDMC) by Cutler et al. 1983 (Shell Oil). ..
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 5/27 Introduction cont’d Academic Research Few early theoretical investigations: Klieinmann 1970, Thomas 1975, Chen and Shaw 1982 etc. Predictive control theory: Keerthi and Gilbert 1988, Mayne and Michalska 1990 etc.
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 6/27 Introduction cont’d Industrial Technology Company Product name Description Aspen Tech DMC Dynamic Matrix Control Adersa IDCOM Identification and Command HIECON Hierarchical Constraint Control PFC Predictive Functional Control Honeywell Profimatics RMPCT Robust Model Predictive Control Technology PCT Predictive Control Technology Setpoint Inc. SMCA Setpoint Multivariable Control Architecture IDCOM-M Multivariable Treiber Controls OPC Optimum Predictive Control Shell Global SMOC-II Shell Multivariable Optimizing Control ABB 3dMPC Pavillion Technologies Inc. PP Process Perfecter Simulation Sciences Connoisseur Control and Identification Package
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 7/27 Introduction cont’d Variations of MPC Robust MPC - guaranteed feasibility and stability Feedback MPC - mitigate shrinkage of feasible region Pre-computed MPC - Piecewise-linear solution stored in database or Solve off-line using parametric (linear or quadratic) programming Decentralised MPC as used in autonomous air vehicle - Speed up computation.
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 8/27 Introduction cont’d Basic structure of MPC Figure 1: Basic Structure of MPC
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ICM,EEE-CAP,April 14, 2005 Basics of MPC - p. 9/27 Introduction cont’d Components of MPC Prediction model Objective function Obtaining the control law
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50918 - Basics of Model Predictive Control P.E. Orukpe...

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