Modern Predictive Control by Ding Baocang

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By Ding Baocang

Modern Predictive Control explains how MPC differs from different keep an eye on tools in its implementation of a keep watch over motion. most significantly, MPC presents the flexibleness to act whereas optimizing―which is key to the answer of many engineering difficulties in advanced crops, the place specific modeling is very unlikely.

The superiority of MPC is in its numerical resolution. frequently, MPC is hired to unravel a finite-horizon optimum keep watch over challenge at each one sampling speedy and acquire keep an eye on activities for either the current time and a destiny interval. notwithstanding, simply the present keep an eye on circulation is utilized to the plant.

This whole, step by step exploration of assorted techniques to MPC:

  • Introduces simple options of structures, modeling, and predictive regulate, detailing improvement from classical MPC to synthesis approaches
  • Explores use of version Algorithmic keep watch over (MAC), Dynamic Matrix keep an eye on (DMC), Generalized Predictive keep watch over (GPC), and Two-Step version Predictive regulate
  • Identifies vital normal methods to synthesis
  • Discusses open-loop and closed-loop optimization in synthesis approaches
  • Covers output suggestions synthesis methods with and and not using a finite switching horizon

This publication supplies researchers a number of types to be used with one- and two-step keep an eye on. the writer essentially explains the differences among predictive keep watch over methods―and the foundation of those differences―to illustrate that there's not anyone perfect MPC and that one should still stay open to choosing the right attainable version in every one targeted circumstance.

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Extra resources for Modern Predictive Control

Example text

Because the suboptimal control problem is solved off-line (not as MPC which do most computation on-line), the computational aspect is not so serious. So a large N may be chosen. 16) is a complicated nonconvex optimization problem, its optimal solution is not easy to be found; in this case, increasing N at a special point N = N0 may not have optimality advantage. 5. By properly selecting N , the artificial constraint x(N ) ∈ Ωα can be automatically satisfied. 16) is given as −1 uN = {u∗o (0), u∗o (1), · · · , u∗o (N − 1)} .

MPHC, as well as DMC adopting the step response model, has simple algorithmic procedures, which can be easily accepted by the process engineers. Denote the impulse response of the controlled process as H(l). The process can be described by the following convolution model: ∞ H(l)u(k − l). 1) l=1 For the open-loop stable process, when l is increased, H(l) tends to zero. 1), N H(l)u(k − l). 2) l=1 N is the modeling length or modeling horizon. , N Ts should correspond to the response time of the controlled process.

5) is artificial and, hence, fj can be tuning parameter. In the earlier version of MPHC, fj = 1. 4 Optimal control: case multi-input multi-output For a system with m inputs and r outputs, the deduction of MAC control law is the generalization of that for the SISO system. The prediction of the output can be done in the following steps. (i) First step: Suppose only the j-th input is nonzero, and the other inputs are zeros. 1. Principle of MAC 43 where yij (k + 1|k), y¯ij (k + 2|k), · · · , y¯ij (k + P |k)]T , y˜ij (k|k) =[¯ u ˜j (k|k) =[uj (k|k), uj (k + 1|k), · · · , uj (k + M − 1|k)]T , u ˜j,p (k|k) =[uj (k − 1), uj (k − 2), · · · , uj (k − N + 1)]T , 2 hij (1) 0 ··· 0 6 hij (2) h (1) · · · 0 ij 6 6 ..

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