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This paper studies the best achievable tracking performance of multiple-input multiple-output (MIMO), finite dimensional, linear and time-invariant (FDLTI) system over a additive white noise (AWN) channel in the feedback path. The plant under consideration is assumed to be minimum phase but unstable. The reference input is a vector valued wide-sense stationary (WSS) random process. The power of the...
A model reduction method to match the coefficient of the transfer function G(s) of descriptor system is presented to obtain reduced order descriptor system. By projecting G(s) to the transfer function of discrete time system, the model reduction problem for the descriptor system is transformed to Markov parameters matching model reduction problem of the corresponding discrete time normal systems....
In this paper, we present a polynomial solution to a particular Hfrinfin control problem, which arises in the robust stabilization of a SISO plant when the uncertainty is described by the gap metric, nu-gap metric, pointwise gap metric, or normalized corprime factor perturbation. Compared with the existing state space solution, the polynomial solution appears simpler and more elementary. It boils...
This work expands fundamental disciplines in classical control on 2D version to such an extent that the well-established 1D-Hinfin robust control can be directly extended to spatiotemporal L2-gain robust control for Sturm-Liouville class. The kernel is to extend Laplace transform and Fourier transform for Galerkin-Laplace transform and Galerkin- Fourier transform, respectively, which transform the...
The paper is concerned with the notion of lossless negative imaginary systems and their stabilization using a strictly negative imaginary controller through positive feedback. Firstly, some properties of lossless negative imaginary transfer functions are studied. Secondly, a lossless negative imaginary lemma is given which establishes conditions on matrices appearing in a minimal state-space realization...
In the continuous casting process, various control strategies are used to reduce the mold level fluctuations which cause surface defects in the final product. This paper proposes a control structure able to improve the reduction of the bulging effect on the mold level. It is based on the Astroumlm's modified Smith predictor scheme which presents the advantage that the setpoint response is decoupled...
This paper is concerned with a strictly positive real H2 controller design problem using an observer-based controller with Kalman filter gain. In this paper, we propose a successive method with non-common Lyapunov variables for this control problem. The feature of our method is to construct a controller sequence on which H2 norm is monotonically non-increasingly while all controllers are strictly...
This paper presents an application of the continuous-time deadbeat control, which is proposed recently based on the finite pole assignment for linear systems with time delay. The control object used here is a carriage, which is build with LEGO MINDSTORMS NXT as a model of crane for LCD manufacturing line. The implementation includes modeling, design, and implementation for a cheap microprocessor for...
The physical parameters of controlled systems are uncertain and are accompanied by nonlinearity. The transfer function and the characteristic polynomial should, therefore, be expressed by interval (polytopic) polynomials, regardless of whether the input-output signals are continuous or discrete in time. This paper evaluates the robust stability of discrete-time control systems based on the existing...
In this paper we propose a model reduction for infinite dimensional systems using reciprocal transformation. The class of systems considered is that of a exponentially stable state linear systems (A;B;C), where operator A has a bounded inverse and the operator B and C are of finite-rank and bounded. We can connect the system (A;B;C) with its reciprocal system via the solutions of the Lyapunov equations...
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