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We motivate and propose an alternative criterion for the dynamical control of regularization in the context of the standard RLS algorithm. The proposed criterion explores the fact that in finite precision the numerical solution of a regularized linear system of equations may be closer to the analytical (unknown) solution of the original (unregularized) system than the numerical solution of the latter...
This paper presents a robust nonlinear controller for position and flux control of primary type Linear Induction Motor (LIM) Drive. The proposed controller is designed based on adaptive input-output feedback linearization control, taking into account the LIM end effect. The stability of controller is proved by Lyaponuv theory and its effectiveness and validity is supported by computer simulation....
A gradient flow algorithm model developed for the on-line robust pole assignment is proposed for solving Sylvester equations. The algorithm shows to be capable of synthesizing linear feedback control systems via on-line computing feedback gain matrix and desired closed-loop poles. Meanwhile, the close-loop system matrix is least sensitive to perturbation or uncertainty, and uniformly asymptotically...
This paper investigates robust static output feedback (SOF) control problem for the linear systems with parameter uncertainties. Based on the structure of the uncertainties, the systems are separated into linear time invariant (LTI) systems and linear parameter varying (LPV) systems. Then, a class of uncertain systems with norm-bounded perturbations is discussed for both LTI systems and LPV systems...
The dynamic output feedback L2 disturbance attenuation control of linear parameter-varying (LPV) singular systems is investigated in this paper. Based on a general Lyapunov inequality, we first provide a condition that guarantees the admissability and the L2 gain performance of LPV singular systems. Then, the existence of dynamic output feedback L2 disturbance attenuation controller of the system...
How to control an unstable linear system with a long pure delay in the actuator path? This question was resolved using dasiapredictorpsila or dasiafinite spectrum assignmentpsila designs in the 1970s. Here we address a more challenging question: How to control an unstable linear system with a wave PDE in the actuation path? Physically one can think of this problem as having to stabilize a system to...
In this paper, the rotorcraft dynamics is derived and a linearized hovering model is transformed into a state-space form. It is difficult to obtain parameters for stability derivatives in the state-space directly, a linear control model is derived by a time-domain parametric system identification method with real flight data of a scaled rotorcraft model. Then, two different controllers, a linear feedback...
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...
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