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This paper presents a gradient flow approach for computing the robust controller for linear systems using state-derivative feedback such that the sensitivity of the closed-loop system eigenvalues to perturbations in the system and gain matrix is minimized. The approach can be applied for any controllable system with some restrictions when assigning zero poles. The nonsingular and singular open-loop...
Based on the parametric solutions to a generalized second-order Sylvester equation, a parametric method to solve the design of full-order PI observers is proposed in second-order linear systems. This proposed method presents the parametric expressions for the feedback gain matrices and the left eigenvector matrix of the full-order PI observers. An illustrative example shows the effectiveness and simpleness...
The design of eigenstructure assignment in second-order dynamic systems via proportional-integral-derivative (PID) feedback is considered. Based on a group of parametric solutions to a type of generalized Sylvester matrix equations, a complete parametric method for the proposed eigenstructure assignment problem is presented. This method gives simple complete parametric expressions for the PID feedback...
This paper is concerned with the estimation problem for discrete-time stochastic linear systems with multiple packet dropouts. Based on a recently developed model for multiple-packet dropouts, the original system is transferred to a stochastic parameter system by augmentation of the state and measurement. The optimal full-order linear filter of the form of employing the received outputs at the current...
In this paper we propose to use the important work made in the area of linear robust control to ameliorate the global robustness of a flatness based control. The main idea consists in adding a linear feedback on the nominal flat control. This feedback is calculated on the linearised system of the error tracking. From the linearised system (depending on the desired trajector) is defined a polytopic...
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