Interval observers are constructed for discrete-time systems. First, time-invariant interval proposed a family of nonlinear Second, it is shown that, any exponentially stable linear system with additive disturbances, time-varying can be constructed. The latter result relies on the design changes coordinates, which transform into nonnegative one. Copyright © 2013 John Wiley & Sons, Ltd.

This technical note concerns observer design for Lipschitz nonlinear systems with sampled output. Using reachability analysis, an upper approximation of the attainable set is given. When this formulated in terms a convex combination linear mappings, sufficient condition given matrix inequalities (LMIs) which can be solved employing LMIs solver. novel approach seems to efficient tool solve problem synthesis class small dimensions.

The main goal of this paper is to present a methodology design interval observers for discrete-time linear switched systems affected by bounded, but unknown disturbances. Two techniques are presented. first one requires that the observation error dynamics nonnegative while second relaxes restrictive requirement change coordinates. Furthermore, ideas using H∞ formalism compute optimal gains proposed. Finally, illustrative examples highlight performance our methodology.

This article presents a solution to the problem of achieving optimal prescribed-time stability and stabilization for nonlinear dynamical systems. In contrast existing control methods, this initiates by establishing sufficient conditions through use continuous Lyapunov candidate functions. Building upon these conditions, we introduce an method that incorporates specific differential inequalities. complies with Hamilton-Jacobi-Bellman steady-state equation, ensuring both optimality stability....

The main goal of this article is to design interval observers for continuous nonlinear switched systems. modes are described by the multimodel approach Takagi-Sugeno (T-S) fuzzy systems where premise variables depending on state vector that unmeasurable. In article, we propose T-S consider unmeasurable as bounded uncertainties under common assumptions additive disturbances well measurement noises unknown but bounded. stability and nonnegativity conditions given in terms linear matrix...

For a family of continuous-time nonlinear systems with input, output and uncertain terms, new interval observer design is proposed. The main feature the constructed that it composed two copies classical whose corresponding error equations are, in general, not cooperative. globally asymptotically stable under an appropriate choice dynamic feedback which uses values bounds provided by itself.

Predefined-time stability is the of dynamical systems whose solutions approach equilibrium point within a predecided time duration. In this technical note, we develop general results predefined-time nonlinear using vector Lyapunov functions. A comparison system, which convergent, constructed, and after that original system proved differential inequalities principles. Moreover, design controllers for large-scale control Sliding-mode introduced in to mitigate matched bounded...

This brief addresses the issue of adaptive prescribed-time consensus control for a class unknown nonlinear multi-agent systems over an undirected connected topology. The radial basis function (RBF) neural networks (NNs) are applied to approximate nonlinearities present in system. By utilizing graph theory and Lyapunov stability theory, we demonstrate that proposed protocol law ensure boundedness all closed-loop signals A noteworthy advantage method is ability achieve within predetermined...

An interval estimation method based on the reduced-order observer and peak-to-peak analysis is proposed for continuous-time linear time-invariant systems with disturbance measurement noise. The consists of two steps. First, a L∞ performance designed to obtain point estimation. Second, achieved by integrating obtained error analysis. Steady-state gain optimisation in terms matrix inequalities used both steps improve accuracy method. superiority over illustrated through numerical simulations.

ABSTRACTThis paper considers reachable set estimation for discrete-time linear time-delay systems. With the assumption that unknown initial condition and disturbances are bounded by zonotopes, three zonotope-based methods proposed to estimate real-time sets. We find couplings in systems lead conservative results propose a method based on state augmentation. The augmentation-based can reduce conservatisms caused achieve more accurate estimation. Simulation demonstrate performances of...

First, time-invariant interval observers are proposed for a family of nonlinear systems. Second, it is shown that, any exponentially stable discrete-time linear system with additive disturbances, time-varying can be constructed. The result relies on the design changes coordinates which transform into nonnegative system.

Abstract This paper proposes a sliding surface which renders the system dynamics to start directly from itself without reaching phase. More specifically, is insensitive matched disturbances/uncertainties throughout entire response. The controller design based on reduced‐order subsystem still preserved. It different integral mode in full order of reach same objective. simulation results its application fractional inverted pendulum demonstrated.

This paper is concerned with the interval estimation for discrete-time linear switched systems affected by unknown disturbances and noises. A novel approach proposed integrating robust observer design zonotopic techniques. By introducing L∞ technique into design, effective in attenuating influence of noises, improving accuracy estimation. Based on designed observer, can be obtained using analysis. Numerical simulation results are conducted to demonstrate feasibility effectiveness approach.