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The robust version of the problem, when a convex set of polynomial systems is given over which a stabilizing controller is searched for, is also solvable with an LP solver.
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In particular, to achieve optimal gain tuning, the controller gains are searched within the GPMSOR to minimize the integral of the absolute error (IAE) or the integral of the squared error (ISE) performance criterion.
The second step is searching for the desired controller in a class parameterized by the controller designed in the first step.
A modified feedback linearization control is chosen as controller structure, and the design parameters are searched by a genetic algorithm to achieve the tradeoff between stability and performance robustness.
As the optimal dual controller is computationally intractable, approximations of the optimal problem are searched.
In short, the Leap Motion Controller is a solution in search of a problem.
A proportional (P) controller is designed using numerical search in frequency domain that maximizes the tracking bandwidth and still keeps the system well damped.
Specifically, an optimal PI controller is designed by applying direct search optimization to ideal delay-free pitch model.
The explicit MPC controller is based on an orthogonal search tree structure of the state space partition and is designed by solving a min-max optimization problem.
The rule base of fuzzy logic controller is optimally determined by using tabu search algorithm which is a modern popular heuristic algorithm.
The design problem of the proposed PID controller is formulated as an optimization problem and MOL algorithm is employed to search for the optimal controller parameters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com