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The problem of designing H?? dynamic output-feedback controllers for polytopic Delta operator systems is considered. Given a transfer function matrix of a system with polytopic uncertainty, an appropriate, not necessarily minimal, state-space model of the system is described which permits reconstruction of all its states. To this model, a new polynomial parameter-dependent approach to state-feedback...
Given a nominal plant, together with a fixed neighborhood of this plant, the problem of robust stabilization is to find a controller that stabilizes all plants in that neighborhood (in an appropriate sense). If a controller achieves this design objective, we say that it robustly stabilizes the nominal plant. In this paper we formulate the robust stabilization problem in a behavioral framework, with...
In this paper, we study robust stabilization of commensurate fractional order interval polynomial with the PID controller. In this paper, we show that a special class of commensurate fractional order interval plants can be stabilized by PID compensator if some of edge characteristic polynomials can be stabilized by the PID compensator. The proof is based on the fact that the special commensurate fractional...
This paper deals with robust stability of commensurate fractional order interval polynomials. Tan et al. obtain the robust stability result of fractional order interval polynomials. The result is that the fractional order interval polynomial is robustly stable if and only if all the exposed edge polynomials are robustly stable. In this paper, some simplification is presented for robust stability of...
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...
This paper proposed a simple graphical criterion for stability margin determination of closed-loop control systems contained plant with fuzzy coefficients. The stability margin shows that what plant fuzziness can be large without system destabilization. The presented method is generalization of obtained result in robust stability analysis and can be applied in the case of trapezoidal or triangular...
This paper deals with H2 control of a continuous stirred tank reactor (CSTR). The coolant temperature and the temperature in the reactor are respectively considered as control and controlled variables. A connection between H2 polynomial approach and the mixed sensitivity optimization for feedback control of CSTR is presented. The control algorithm has been implementedwith the help of the Polynomial...
In this paper Schur stability of discrete time uncertain control systems is investigated. It is shown that Schur stability of the control system is determined mainly by the stability of the exposed edges in the value set. A collinearity condition is derived which allows the determination of the changes in the exposed edges. Especially plants with symmetric/antisymmetric parametrization are considered...
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