The exhaustive list of topics in Advanced Process Control in which we provide Help with Homework Assignment and Help with Project is as follows:
- Linear Dynamic Models for Advanced Control
- Dynamic models in chemical engineering and linearization.
- Linear continuous time state space models and Laplace.
- Transfer function matrix representation.
- Computer oriented (or discrete time) state space models and z-transfer function matrix representation.
- Development of discrete time state space models from input-output data (development of OE and ARMAX models, state realizations).
- Analysis of State Space Models
- State transformations , poles and zeros, characteristic equation.
- Solution of unforced and forced linear differential and difference equations and asymptotic behavior of solutions.
- Lyapunov stability analysis.
- Observer design
- Observability and observervable canonical form, Luenberger (SISO) observer and pole placement design, Prediction and current state observer, reduced order observer.
- Observer design in presence of state and measurement noise, Kalman filtering and optimal state estimation, convergence of observer error, connection between Kalman filter and linear time series models.
- State feedback controller design
- Controllability, reachability and controllable canonical form.
- State feedback controller for SISO systems design by pole placement, difficulties in extending to multivariable systems.
- Linear quadratic optimal control (Derivation of Riccati equations, set point tracking and disturbance rejection, stability analysis).
- Separation principle and state feedback control using state observers.
- Examples of state LQ and LQG.
- Model Predictive Control
- Limitations of LQ control and operating constraints.
- Dynamic matrix control (state space formulation, unconstrained solution, QP formulation), Internal Model Control.
- Model predictive control (MPC) based on state estimation (Kalman filtering).
- Nominal stability and robustness of MPC.
- MPC case study.
- Beyond linear multivariable control.