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Optimisation of Marine Boilers using Model-based Multivariable ...

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8 1. INTRODUCTION<br />

Portfolio/plant<br />

management<br />

Units, plant<br />

process control<br />

Actuators: pumps, valves, etc.<br />

materials/flow control<br />

Economic optimisation<br />

(static optimisation)<br />

MIMO/decentralised control<br />

(MPC, LQG, H∞, etc.)<br />

SISO control<br />

(PID)<br />

Figure 1.2: Illustration <strong>of</strong> the process control hierarchy as employed in the industry. The different levels<br />

seen from the bottom corresponds to task <strong>of</strong> increasing complexity and hence longer controller update times.<br />

Further, the models used for controller design at the bottom two levels are dynamic whereas the models used<br />

at the top level are <strong>of</strong>ten static.<br />

cascade configuration. The models used in control designs at this level are dynamic.<br />

The controllers at this level <strong>of</strong>ten have the purpose <strong>of</strong> linearising gains, reducing input<br />

uncertainty and attenuating input disturbances.<br />

The middle level controllers are the process controllers, e.g. the boiler pressure and<br />

water level controllers. These controllers are <strong>of</strong>ten more complex than at the lower level<br />

and the MIMO nature <strong>of</strong> the process is efficiently handled at this level. The update time<br />

at this level is in the range <strong>of</strong> minutes or less, Ts ∼ min. Also the models used for the<br />

controller designs are dynamic.<br />

In relation to the marine boiler system the top level <strong>of</strong> the hierarchy could be seen as the<br />

overall ship-wide control, if such control existed. This could be overall ship efficiency<br />

optimisation. The update frequency <strong>of</strong> controllers at this level will usually be in the<br />

range <strong>of</strong> hours Ts ∼ h. Furthermore, the models used at this level are <strong>of</strong>ten static. The<br />

output <strong>of</strong> these controllers are future setpoints for the middle level controllers.<br />

At both the top and middle levels it is <strong>of</strong>ten necessary to be able to handle constraints on<br />

process outputs, e.g. water level, pressure or NOx concentration in the exhaust gas. In<br />

this thesis we will work on the bottom and middle levels <strong>of</strong> the hierarchy. Especially we<br />

will later address the model predictive controller (MPC) which is found at the middle<br />

level.<br />

Control methods<br />

See e.g. [Åström and Hägglund, 2006; Franklin et al., 1994, 1998; Haugen, 1994;<br />

Skogestad, 2003] for design and tuning rules for the PID controllers and feedforward<br />

elements for SISO processes. It is possible to take the cross couplings in MIMO processes<br />

into account while still allowing for a controller design <strong>based</strong> on SISO process

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