The dynamic output feedback control for a class of semi-linear distributedparametersystems with a non-constant (spatially-varying) diffusion rate described by partial differential equations is studied. The considere...
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The dynamic output feedback control for a class of semi-linear distributedparametersystems with a non-constant (spatially-varying) diffusion rate described by partial differential equations is studied. The considered system is endowed with boundary actuation available and boundary feedback controllers are designed. Meanwhile, both domain-averaged and boundary-valued measurements, two different ways of output measurements, are taken into account. Based on these two different methods of measurements, the corresponding boundary feedback control laws are designed, respectively. Using Wirtinger's inequality, the resulting closed-loop systems depending on observers and controllers are obtained in terms of the Lyapunov method. With the sufficient conditions of the linear matrix inequality, the stability of the system is subsequently obtained by the designed observer and controller. The final numerical simulations are given to illustrate the validity of the results graphically.
In this study, the iterative learning control (ILC) method is considered for tracking control of a class of distributedparametersystems (DPSs) based on sensor-actuator networks (SANs) with the unknown exogenous inpu...
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In this study, the iterative learning control (ILC) method is considered for tracking control of a class of distributedparametersystems (DPSs) based on sensor-actuator networks (SANs) with the unknown exogenous input and the measurement noise, which are described by a semi-linear parabolic partial differential equation. The D-type ILC algorithm is presented to control DPSs with non-collocated SANs. When the unknown exogenous input and the measurement noise are bounded, the upper bounds of output errors are obtained via the Bellman-Gronwall lemma and semi-group theory, respectively. The authors prove that the output errors converge to zero in the absence of the unknown exogenous input and the measurement noise. Two examples are given to show the effectiveness of the proposed D-type ILC scheme.
This paper is concerned with a design of finite-dimensional H ∞ controllers for semilinear distributed parameter systems whose linear principal parts are of modal type. First, a finite-dimensional H ∞ controller is ...
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This paper is concerned with a design of finite-dimensional H ∞ controllers for semilinear distributed parameter systems whose linear principal parts are of modal type. First, a finite-dimensional H ∞ controller is constructed for the linear distributedparameter system by using a previous result of the author. Then, it is shown that the finite-dimensional H ∞ controller works as a finite-dimensional H ∞ controller for the given semilineardistributedparameter system under certain conditions with respect to the nonlinear perturbation.
This paper is concerned with stabilization problem of semilinear distributed parameter systems whose linear principal parts have unstable eigenvalues. A design methodology of a finite dimensional dynamic compensator i...
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This paper is concerned with stabilization problem of semilinear distributed parameter systems whose linear principal parts have unstable eigenvalues. A design methodology of a finite dimensional dynamic compensator is investigated. It involves the reduction of stabilizing problem of the systems which install the compensator to the stabilizing problem on an inertial manifold. A sufficient condition for the existence of the stabilizing compensator is given.
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