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- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/10%3A_Dynamical_Systems_Analysis
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/12%3A_Multiple_Input_Multiple_Output_(MIMO)_Control/12.04%3A_Neural_Networks_for_automatic_model_constructionNeural networks, which were initially designed to imitate human neurons, work to store, analyze, and identify patterns in input readings to generate output signals. In chemical engineering, neural net...Neural networks, which were initially designed to imitate human neurons, work to store, analyze, and identify patterns in input readings to generate output signals. In chemical engineering, neural networks are used to predict the ouputs of systems such as distillation columns and CSTRs. This article will discuss how neural networks work, the advantages and disadvantages of neural networks, and some common applications of the networks.
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/04%3A_Piping_and_Instrumentation_Diagrams/4.06%3A_Regulatory_Agencies_and_ComplianceRegulatory agencies govern various sections of chemical plants from emissions and water treatment to personnel behaviors and company policy. Understanding of the types of organizations that demand hig...Regulatory agencies govern various sections of chemical plants from emissions and water treatment to personnel behaviors and company policy. Understanding of the types of organizations that demand high performance from chemical plants on a national and local level are extremely important for the safety of the employees, community and environment.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/14%3A_Fundamentals_of_Engineering/14.10%3A_Differential_equations/14.10.01%3A_First-order_Differential_EquationsThis is a description of how to solve first order differential equations. This is only meant for you to skim as a preparation for the future.
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/12%3A_Multiple_Input_Multiple_Output_(MIMO)_Control/12.03%3A_MIMO_using_model_predictive_controlThis article will describe how to control a system with multiple inputs and outputs using model predictive control (MPC). MPC is a linear algebra method for predicting the result of a sequence of cont...This article will describe how to control a system with multiple inputs and outputs using model predictive control (MPC). MPC is a linear algebra method for predicting the result of a sequence of control variable manipulations. Once the results of specific manipulations are predicted, the controller can then proceed with the sequence that produces the desired result. One can compare this controller method to "look ahead" in chess or other board games.
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/07%3A_Mathematics_for_Control_Systems/7.01%3A_Dirac_delta_(impulse)_functionThe Dirac delta function δ(t − t0) is a mathematical idealization of an impulse or a very fast burst of substance at t = t0. (Here we are considering time but the delta function can involve any variab...The Dirac delta function δ(t − t0) is a mathematical idealization of an impulse or a very fast burst of substance at t = t0. (Here we are considering time but the delta function can involve any variable.) The delta function is properly defined through a limiting process
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/04%3A_Piping_and_Instrumentation_Diagrams/4.01%3A_PandID_General_InformationPiping and Instrumentation Diagrams (P&IDs) use specific symbols to show the connectivity of equipment, sensors, and valves in a control system. The following sections will outline general information...Piping and Instrumentation Diagrams (P&IDs) use specific symbols to show the connectivity of equipment, sensors, and valves in a control system. The following sections will outline general information about P&IDs that is necessary to to know before trying to draw one.
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/09%3A_Proportional-Integral-Derivative_(PID)_Control/9.06%3A_PID_Downsides_and_SolutionsA proportional-integral-derivative (PID) controller is one of the most common algorithms used for control systems. It is widely used because the algorithm does not involve higher order mathematics, bu...A proportional-integral-derivative (PID) controller is one of the most common algorithms used for control systems. It is widely used because the algorithm does not involve higher order mathematics, but still contains many variables. The amount of variables that are used allows the user to easily adjust the system to the desired settings. The algorithm for the PID uses a feedback loop to correct the difference between some measured value and the setpoint.
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/00%3A_Front_Matter
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/08%3A_Optimization/8.03%3A_Non-linear_OptimizationVarious conditions and situations are not adequately described using linear systems. In this case, nonlinear optimization may be applied. Unlike linear optimization, the optimal operating condition do...Various conditions and situations are not adequately described using linear systems. In this case, nonlinear optimization may be applied. Unlike linear optimization, the optimal operating condition does not exist at the boundaries.
- https://eng.libretexts.org/Bookshelves/Industrial_and_Systems_Engineering/Chemical_Process_Dynamics_and_Controls_(Woolf)/05%3A_Logical_Modeling/5.02%3A_Logical_control_programs-_IF..._THEN_WHILEA logical control program is a set of conditional statements describing the response of a controller to different inputs. A controller is a computer used to automate industrial processes. Process engi...A logical control program is a set of conditional statements describing the response of a controller to different inputs. A controller is a computer used to automate industrial processes. Process engineers use control logic to tell the controller in a process how to react to all inputs from sensors with an appropriate response to maintain normal functioning of the process. This is based on simple logic principles governed by statements such as IF X, THEN Y, ELSE Z to describe relationships .