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H-infinity Optimization of Fixed-structure Controllers
The H-infinity optimization problem of fixed-structure controllers cannot be formulated as a convex LMI problem, unlike the standard full-order H-infinity controller synthesis problem. A simple, and efficient numerical optimization approach is proposed to locally solve this problem. As practical application examples, the proposed approach is applied to 1) the re-tuning of a PID controller for head positioning of an hard disk drive, and 2) the tuning of a lateral controller for automated passenger vehicles.
Publications:
JE1,
JE2,
CE2,
CJ4
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Solving BMI Problems for the Extension of H-infinity Optimization
The BMI (bilinear matrix inequalities) formulation plays a crucial role to extend the H-infinity optimization problem to more general problems. The BMI problems are, however, proven to be NP-hard, which means that any
algorithms that globally solve general BMI problems are quite likely
non-polynomial time algorithms. We proposed a simple, and efficient local search approach to solve general BMI problems based on the rank minimization approach.
Publications:
CE3
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H-infinity State Observers
The unique, and interesting application of the H-infinity optimization to the design of state observers is proposed. As a practical application example, the design of a fault detection system by using the H-infinity optimization is presented for the lateral control of an automated heavy-duty vehicle.
Publications:
JE4,
CE5,
CE1
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