Forecast-Triggered Model Predictive Control of Constrained Nonlinear Processes with Control Actuator Faults
Abstract
:1. Introduction
2. Preliminaries
3. An Auxiliary Model-Based Fault-Tolerant Controller
3.1. Controller Synthesis and Analysis under Continuous State Measurements
3.2. Characterization of Closed-Loop Stability under Discretely Sampled State Measurements
4. Design and Analysis of Lyapunov-Based Fault-Tolerant MPC
5. Fault-Tolerant MPC Implementation Using Forecast-Triggered Communication
Algorithm 1: Forecast-triggered sensor–controller communication strategy |
Initialize and set , |
Solve Equation (28) for and implement the first step of the control sequence |
if then |
Calculate (estimate of ) using Equation (40a) and |
else |
Calculate (estimate of ) using Equation (40b) and |
end if |
if then |
Solve Equation (28) without Equation (28d) for |
else if and then |
Solve Equation (28) without Equation (28d) for |
else |
Solve Equation (28) for and set |
end if |
Implement the first step of the control sequence on |
Set and go to step 3 |
6. Simulation Case Study: Application to a Chemical Process
6.1. Characterization of the Fault-Tolerant Stabilization Region
6.2. Active Fault Accommodation in the Implementation of MPC
6.3. Implementation of Fault-Tolerant MPC Using Forecast-Triggered Sensor–Controller Communication
7. Conclusions
Author Contributions
Funding
Conflicts of Interest
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Parameter | Process | Model |
---|---|---|
F (m3/h) | ||
V (m3) | ||
(h−1) | ||
E (KJ/Kmol) | ||
R (KJ/Kmol/K) | ||
(Kg/m3) | 1000 | 1010 |
(KJ/Kg/K) | ||
(KJ/Kmol) | ||
(Kmol/m3) | ||
(K) | ||
(KJ/h) | 0 | 0 |
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Xue, D.; El-Farra, N.H. Forecast-Triggered Model Predictive Control of Constrained Nonlinear Processes with Control Actuator Faults. Mathematics 2018, 6, 104. https://doi.org/10.3390/math6060104
Xue D, El-Farra NH. Forecast-Triggered Model Predictive Control of Constrained Nonlinear Processes with Control Actuator Faults. Mathematics. 2018; 6(6):104. https://doi.org/10.3390/math6060104
Chicago/Turabian StyleXue, Da, and Nael H. El-Farra. 2018. "Forecast-Triggered Model Predictive Control of Constrained Nonlinear Processes with Control Actuator Faults" Mathematics 6, no. 6: 104. https://doi.org/10.3390/math6060104