2,504 research outputs found
Gain scheduling control of nonlinear singularly perturbed time-varying systems with derivative information
In this paper, we analyse the ultimate boundedness of nonlinear singularly perturbed time-varying systems and propose a control law using gain scheduling where the slow state and the exogenous signals are used as scheduling variables. In our control scheme, we have some flexibility in selecting the slow manifold of the system. Moreover, the derivative information can be properly engaged to manipulate the size of ultimate bound in tracking error of the controlled system
Feedback linearisation of time-varying nonlinear systems via time-varying diffeomorphism
A control scheme is proposed to stabilise a class of time-varying nonlinear systems. The scheme is based on the feedback-linearisation scheme and is developed via the newly proposed time-varying diffeomorphism concept, which results in the transformation of time-varying systems into equivalent time-invariant linear systems. As a result, feedback linearisation of time-varying nonlinear systems is achieved and it provides the stabilisation of a class of nonlinear time-varying systems. In addition, the approximate feedback LTIsation concept is introduced for its practicability
Global asymptotic stabilization of a class of nonlinear time-delay systems by output feedback
We consider the chains of integrators with nonlinear terms which allow state and input delays. We provide an output feedback controller which globally asymptotically stabilizes the given system under certain sufficient conditions. It turns out that the obtained result includes several existing results as particular cases. This point is shown through two applications of the main result. Also, industrial processes are presented to illustrate the practicability of our result
Global exponential stabilization of a class of nonlinear systems by output feedback
This work extends the existing output feedback stabilization schemes for the systems in a "perturbed chain-of-integrator" form. In particular, we further relax the triangular-type conditions imposed on the perturbed terms and analyze the robust property of the linear output feedback control law using the newly proposed condition
Stabilization of a chain of integrators with an unknown delay in the input by adaptive output feedback
In this note, we consider a stabilization problem of a chain of integrators with an unknown delay in the input. We propose an adaptive output feedback control scheme in which the delay-related low-gain parameter is tuned online by utilizing the integral value of the input norm-bound. Thus, a priori knowledge on the delay is not required for controller design
On fair window control for TCP with ECN using congestion level
The current congestion control mechanism for TCP with EGN suffers from the oscillation of the window size and the unfair sharing of network resources. These problems are caused by the insufficient information about the congestion level of a network and the different round trip time (RTT) among the connections respectively. In this paper, we propose a new window control algorithm for TCP with ECN to avoid the oscillation of the window size and to achieve the fairness among the connections
Feedback linearisation of nonminimum singular systems
The paper presents a solution for feedback linearisation of a class of nonlinear systems which have singularity and nonminimum phase. Traditionally, these two problems have been mentioned as shortcomings of standard feedback linearisation. In the proposed scheme, purposely introduced uncertainty under the matching condition yields stabilisable linear systems with vanishing perturbed terms. With additional Lyapunov-based control terms, the considered system is shown to be exponentially stabilised. Finally, an illustrative example for the regulation problem is provided
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