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We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle...
In this paper, we investigate the state preparation problem of quantum noiselsss subsystems for the quantum Markovian systems via quantum feedback control. The controlled dynamics we consider are given by the so-called stochastic master equation including the coupling terms with the environment. We formulate the problem as a stochastic stabilization problem of an invariant set. This formulation allows...
This work focuses on optimal boundary control of highly dissipative Kuramoto-Sivashinsky equation (KSE) which describes the long-wave motions of a thin film over vertical plane. A standard transformation is initially used to reformulate the original boundary control problem as an abstract boundary control problem of the KSE partial differential equation (PDE) in an appropriate functional space setting...
In this paper, in terms of Matrix Hadamard product a new control model is proposed for regulating connection coefficients of the state variables of the systems. It combines the traditional feedback compensation and the direct regulations for the connections of system states. The solution of control law to stabilize the systems via the regulations of connection coefficients can be obtained via a bilinear...
In this paper, we propose the design procedures for model conversion and digital redesign of a singular system, which is controllable at finite and impulsive modes. In order to attain a standard regular problem, we use some techniques to decompose the singular system into a reduced-order regular and nondynamic subsystem. As a result, some well-known design methodologies for a regular system can be...
In this paper we propose a non-recursive method for solving the general discrete-time algebraic Riccati equation related to the H∞, control problem (H∞-DARE). We have achieved this by casting the problem of solving a given H∞-DARE to the problem of solving an auxiliary continuous-time algebraic Riccati equation associated with the H∞ control problem (H∞-CARE) for which the well known non-recursive...
This paper studies feedback control of linear time-invariant singularly perturbed systems of the form ?? = A11x + A12z + B1u ?? = A21x + A22z + B2u y = C1x + C2z + Eu. where A22 may be singular. It is shown that, under stabilizability-detectability assumptions on the slow and fast models, the theory of feedback control of singularly perturbed systems can be extended to the case of singular A22. Both...
In this paper, an algebraic characterization of "fixed modes" of a decentralized linear multivariable system is presented. It is shown that the fixed modes are related to the "blocking-zeros" of certain subsystems derived from the given decentralized system. A numerically stable algorithm is then presented which enables us to compute the fixed modes in a reliable and computationally...
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