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The problem of non-fragile Hinfin filtering for a class of linear systems described by delta operator with circular region pole constraints is investigated. The purpose of the paper is to design a filter such that the error filtering system not only satisfies the prescribed circular pole constraints or D-stability constraint, but also meets the prescribed Hinfin norm constraint on the transfer function...
In this paper, a robust control strategy for uncertain nonlinear continuous-time plants with disturbances and state delays is proposed. The strategy is based on the uncertainty and disturbance estimator (UDE). Both cases with known and unknown delay are considered. In the case of an unknown time delay, the term with the delay is treated as an additional disturbance to the system. Both nonlinear and...
In the present paper, we consider a design method that provides low-sensitivity control with robust stability for multiple-input/multiple-output continuous time-invariant systems having an uncertain number of unstable poles. First, the class of uncertainty considered in the present paper is defined and the necessary and sufficient robust stability condition is presented for the system having this...
In this paper, a constrained robust model predictive control (MPC) is addressed for continuous-time systems with polytopic uncertainty. A modified fuzzy disturbance observer (MFDO) is applied to estimate the uncertainty at each vertex given by a linear model. The quantity of uncertainty estimated by the MFDO is utilized as a pseudo membership grade for each vertex. The state feedback MPC control law...
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 investigates the problem of delay dependent robust stability analysis and Hinfin filtering design for a class of uncertain continuous-time nonlinear systems with time-varying state delay represented by T-S fuzzy models. Based on a newly developed Lyapunov-Krasovskii functional combined with an improved free-weighting matrix technique, a new sufficient condition for robust stability analysis...
This paper presents a new robust tracking control for the nonlinear continues-time chaotic phi6- van der pol oscillator with dynamic uncertainties. The uncertainties could be composed of external disturbance, parameter variation or modeling errors. The designed controller which is based on Lyapunov methodology is an input-output control scheme that makes chaos suppression. The controller is equipped...
Based on two recent results, several new criteria of L2 - Linfin performance for continuous-time linear systems are established by introducing two slack matrices. When used in robust synthesis of systems with polytopic uncertainties, it can reduce conservatism inherent in the earlier quadratic method and the parameter-dependent Lyapunov function approach. Two numerical examples are included to illustrate...
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