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In this paper, a novel framework for robust stability analysis of quantized feedback systems is developed. For an uncertain quantized feedback system, it is difficult or sometimes impossible to employ the traditional small gain theorem to establish the robust stability of the feedback system: if the nominal part of the feedback system has a signal with finitely many quantization levels in the feedback...
Stabilization of uncertain dynamic systems is investigated focusing on plant models that involve both multiplicative and relative uncertainties that are bounded by H??-norm. A new notion of stability margin is proposed to study the robustness of the feedback stability. It is shown that the largest possible stability margin is a two-disk problem. An upper and lower bounds are derived which differ by...
The analysis of the EKF error sequence in is expanded to the case with non-vanishing perturbations. The robust stability of NMPC and EKF pair is established. In addition, we propose an output-feedback NMPC formulation based on both the prior and posterior errors of the EKF to achieve offset-free regulatory control behavior.
In this paper, operator based robust nonlinear control for nonlinear plants with time-delays is considered by using robust right coprime factorization approach. That is, based on internal model control (IMC) and a delay compensating method, operator based nonlinear control systems are designed, and sufficient conditions for the designed feedback control systems are obtained. Based on the conditions,...
This paper is concerned with robust stabilization of an uncertain system over a rate-limited digital channel from the viewpoint of input-output stability. Because of the quantization in the communication channel, it is impossible to apply the traditional small gain theorem to establish robust stability of the feedback system. To overcome this difficulty, we introduce a new notion of small lscrinfin...
In this paper, operator based internal model control (IMC) of perturbed nonlinear systems is considered. That is, by combining IMC theory and robust right coprime factorization approach, sufficient condition for the designed feedback control systems with perturbation is obtained. Based on the obtained condition, robust stability of the nonlinear systems is obtained. A simulation example is also given...
The purpose of this paper is to broaden the scope of integral-quadratic-constraint based structured robustness analysis in a way that accommodates feedback interconnections of unstable linear time-invariant systems. This is achieved by exploring the use of Vinnicombe??s v-gap metric as a measure of distance. Various standard robustness analysis problems are revisited within the context of the main...
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