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This paper is concerned with the design of robust observer based controllers for continuous-time linear systems with parameter uncertainties. The proposed method allows one to compute simultaneously the observer and controller gains by solving a single bilinear matrix inequalities (BMI), which becomes an linear matrix inequalities (LMI). Numerical examples are given to illustrate the validity and...
The purpose of this paper is to design a congestion controller for Networks TCP/IP Routers, while the available link bandwidth is modeled as a time-variant disturbance. Considering the new uncertain TCP flow model, a memoryless H∞ robust controller is designed to guarantee the stability and performance under time-varying network conditions. The controller parameters are obtained through standard linear...
This paper is concerned with the robust H∞ filtering for uncertain discrete-time stochastic systems with polytopic uncertainties. To solve this problem we introduce same slack matrix variables and then use a polynomial parameter dependent approach. Then some conditions expressed as strict linear matrix inequality conditions are derived, which can be easily tested by using standard numerical software...
This paper deals with the problem of delay-dependent robust $$H_{\infty }$$ H ∞ filtering for uncertain two-dimensional (2-D) continuous systems described by Roesser state space model with time-varying delays, with the uncertain parameters assumed to be of polytopic type. A sufficient condition for $$H_{\infty }$$ H ∞ noise attenuation is derived in terms of linear matrix inequalities,...
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