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A framework is established for directly accommodating feedback interconnections of unstable distributed-parameter transfer functions in robust stability analysis via integral quadratic constraints (IQCs). This involves transfer function homotopies that are continuous in a -gap metric sense. As such, the development includes the extension of -gap metric concepts to an irrational setting and...
The stability of uncertain feedback interconnections of causal time-varying linear systems is studied in terms of a recently established generalisation of the υ-gap metric. In particular, a number of robustness results from the well-known linear time-invariant theory are extended. The time-varying generalisations include: sufficient conditions for robust stability; a bound on robust performance; and...
This is part of an effort to extend Vinnicombe's v-gap metric based analysis of uncertain feedback interconnections to a linear time-varying setting. The first results involved using integral quadratic constraints (IQCs) to characterise the uncertainty and the existence of v-gap homotopies. Recent work establishes more familiar results in terms of v-gap balls, via the properties of graph symbols and...
In this paper a new intelligent identification method of uncertainty bound utilizes an adaptive neuro-fuzzy inference system (ANFIS) in a feedback scheme is proposed. The proposed ANFIS feedback structure performs better in determining the uncertainty bounds with minimum number of iterations and error. In our proposed technique, the intelligent identified uncertainty weighting function is validated...
For m-input, m-output, finite-dimensional, linear systems satisfying the assumptions (i) minimum phase, (ii) relative degree one and (iii) positive high-frequency gain), the funnel controller achieves output regulation in the following sense: all states of the closed-loop system are bounded and, most importantly, transient behaviour of the tracking error is ensured such that its evolution remains...
An important challenge regarding peer's trust valuation in peer-to-peer (P2P) networks is how to cope with such problems as dishonest feedbacks of malicious peers and attacks from strategic malicious peers, which cannot be effectively tackled by the existing solutions. So a feedback confidence (FC)-based distributed trust management model for P2P networks, named FCTM for short, is proposed to quantify...
An output feedback controller is developed for the lower triangular nonlinear system within the frame work of nonlinear gap metric. The controller designed is able to restrain both measurement disturbance and input disturbance. Furthermore, there exists a non-zero robust margin of plant perturbations.
This paper presents an approach for the synthesis of control systems with actuator saturation compensation. This technique is applied to linear time invariant (LTI) systems with polytopic uncertainties, considering a performance index that involves the difference between the actuator output signal and the controller output and its effect on the control signal. For the purpose of this paper, the actuator...
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