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- W2360208543 abstract "We investigate the linear-quadratic optimal control by using dynamic compensation for the linear timeinvariant system affected by external persistent disturbances with known dynamic characteristics.By combining the system with the disturbance system,we transform this optimal disturbance rejection problem into the standard linear quadratic optimal control problem without disturbance,and develop the dynamic compensator with appropriate order to make the closed-loop system asymptotically stable with associated Lyapunov equation having a symmetric positive-definite solution.The quadratic performance index is formulated as a simple expression related to the symmetric positive-definite solution to the Lyapunov equation as well as the initial value of the closed-loop system.In order to solve the optimal control problem for the system,we transform the Lyapunov equation to a bilinear matrix inequality and develop a corresponding pathfollowing algorithm to minimize the quadratic performance index and obtain the optimal dynamic compensator.Finally,a numerical example is provided to show that the proposed method can minimize the linear quadratic performance index and reject the system disturbances." @default.
- W2360208543 created "2016-06-24" @default.
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- W2360208543 date "2013-01-01" @default.
- W2360208543 modified "2023-09-23" @default.
- W2360208543 title "Optimal disturbance rejection via dynamic compensation for linear systems" @default.
- W2360208543 hasPublicationYear "2013" @default.
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