fuzzy control systems have had various applications in a wide range of science and engineering in recent years. since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). conceptually, there are two types of stability for control systems: lyapunov stability (a special case ...

in this paper, a two-surfaces sliding mode controller (tssmc) is proposed for the voltage tracking control of a two input dc-dc converter in application of electric vehicles (evs). the imperialist competitive algorithm (ica) is used for tuning tssmc parameters. the proposed controller significantly improves the transient response and disturbance rejection of the two input converters while prese...

The Nyquist Stability Criterion is generalized to systems where the (open-loop) system has infinite-dimensional input/output spaces and a (possibly) unbounded infinitesimal generator. This is done through use of the perturbation determinant and an extension of the Argument Principle to infinitesimal generators with trace-class resolvent.

This paper first reviews various results relating state-space (Lyapunov) stabilization to notions of input/output or “bounded-input bounded-output” stabilization, and then provides generalizations of some of these results to the case of systems with saturating controls. 1 Various Notions of Stability Problems of stabilization underlie most questions of control design. In the nonlinear control l...

The “input to state stability” (iss) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilization of cascades of systems and of linear systems subject to con...

in this paper, a new robust controller based on geometric homogeneity and adaptive integral sliding mode is proposed for a class of second order systems. the upper bound of the system disturbances is not required. fully unknown parameters have been considered in the described model and its finite–time convergence to zero equilibrium point is proved. moreover, the controller is developed in the ...

We study the recently introduced notion of output–input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. This paper develops the theory of output–input stability in the multi-input, multi-output setting. We show that output–input stability is a combination of two system properties, one related to detectability and the other to left...

We present a frequency domain analysis of additive recurrent neural networks based on the pas-sivity approach to input-output stability. We apply graphical Circle Criteria for the case of normal weight matrices which result in eeectively computable stability bounds, including systems with delay. Approximation techniques yield further gen-eralisation to arbitrary matrices.

This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated.