Computer File
Nonlinear Tracking Control of a Cryogenic Separation Process
The cryogenic separation process is typically used
to extract specific components of the air in high purity gas or
liquid forms. This paper proposes a computational approach
for synthesizing optimal and suboptimal tracking controllers for
a nonlinear model of a cryogenic isotope separation process.
The proposed method esssentially formulates a sum of squares
(SOS) optimization problem for solving the state-dependent
Riccati equation (SDRE) which arises in the considered nonlinear
tracking control problem. More specifically, the paper first
characterizes an optimal control law which forces the closed
loop state trajectories to track a given reference signal and
at the same time minimizes a quadratic performance index in
an exact manner. Due to a computational issue which arises in
synthesizing such an exact control law (i.e. the need to solve the
SDRE), the paper then formulates SOS optimization problems
for computing sub-optimal tracking control laws. A simulation
example describing the design of a tracking controller for the
cryogenic isotope separation process plant is then presented to
illustrate the effectiveness of the proposed method.
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