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Then we define the optimal guarantee as the solution of the contributor's optimization program and find the solution explicitly.
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An algorithm involving optimization is proposed to design a controller achieving an optimal guaranteed-cost, such that, the system can be stabilized for all admissible uncertainties.
Optimal guaranteed cost control is a possible way to design LQ-optimal controllers for uncertain systems.
It is proved, under fairly general conditions, that these strategies yield the optimal guaranteed result.
The scheme 'ASGPP' is the optimal Wiener filter together with the optimal guaranteed performance training matrix described in Subsection 5.1.
Furthermore, design methods of optimal guaranteed cost D-stabilization controller and optimal H∞ D-stabilization controller are given.
The obtained robust and non-fragile optimal guaranteed cost controller guarantees the asymptotic stability, disturbance attenuation,, and the upper bound of cost function.
In a framework of active fault-tolerant control (FTC), three issues are addressed, including fault detection, controller reconfiguration for optimal guaranteed cost control, and tracking control.
The state feedback control designs for optimal guaranteed cost control under the two classes of gain perturbations are given in terms of solutions to algebraic Riccati equations.
It is shown that by including uncertainty in the deadtime explicitly in the controller, the region of stability and the optimal guaranteed performance of the closed-loop system is enhanced as compared to a model-based controller.
A sufficient condition is derived for the system to be exponentially stable, and a state feedback stabilizing controller is designed such that the system is exponentially stable and achieves an optimal guaranteed cost performance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com