Showing papers in "Systems & Control Letters in 1999"

TL;DR: In this paper, a new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given, which enables to check stability using parameter-dependent Lyapunov functions which are derived from LMI conditions.

TL;DR: In this article, a sucient condition for asymptotic stability of a switched linear system in terms of the Lie algebra generated by the individual matrices is presented, and it is shown that any family of linear systems satisfying this condition possesses a quadratic common Lyapunov function.

TL;DR: In this paper, the same family of controllers semi-globally practically stabilizes the exact discrete-time model of the plant for sufficiently small sampling periods when the controllers are locally bounded, uniformly in the sampling period.

TL;DR: In this paper, the existence and uniqueness of hybrid automata are studied, and it is shown that regularization techniques can be used to extend the Zeno executions of these automata to times beyond the original Zeno time.

TL;DR: In this article, it was shown that a finite-dimensional continuous-time system is forward complete if solutions exist globally, for positive time, in a necessary and sufficient manner by means of smooth scalar growth inequalities.

TL;DR: In this article, a comparison among the various output stability notions, all of which specialize to input to state stability (ISS) when the output equals the complete state, is presented.

TL;DR: In this paper, an explicit KL stability or input-to-state stability (ISS) estimate for a sampled-data nonlinear system in terms of the KL estimate for the corresponding discrete-time system and a K function describing inter-sample growth is provided.

TL;DR: This work in limited communication control considers a class of discrete-time models that jointly optimize over control and communication goals that include remotely controlled unmanned autonomous vehicles, planetary rovers, arrays of microactuators and power control in mobile communication.

TL;DR: In this article, the authors derived nonlinear boundary control laws that achieve global asymptotic stability for the Burgers equation, using both Neumann and Dirichlet boundary control.

TL;DR: In this paper, a method for designing nonlinear state observers with linear error dynamics is presented, and necessary and sufficient conditions are provided for identifying the class of nonlinear systems for which such observers can be obtained.

TL;DR: In this paper, the authors prove a generalized Liapunov theorem which guarantees practical asymptotic stability, and show that if the averaged system x = f av (x) corresponding to x =f(x,t) is globally stable then, starting from an arbitrarily large set of initial conditions, the trajectories of X = f (x, t/e) converge uniformly to an arbitrarily small residual set around the origin when e>0 is taken sufficiently small.

TL;DR: In this paper, it is shown that any stabilizing, certainty equivalence control used within an adaptive control system, causes the familiar interconnection of a controlled process and associated output estimator to be detectable through the estimator's output error e p, for every frozen value of the index or parameter vector p upon which both the estimation and controller dynamics depend.

TL;DR: In this paper, a linear control law for an uncertain discrete-time linear plant, with bounded uncertainties, is analyzed and its superiority over nonlinear controllers is demonstrated and the conclusion of the obtained results is that in the discrete time variable structure sliding mode controller design, unlike in the continuous-time, the designer may have limited flexibility in selecting controller architectures.

TL;DR: In this article, a hybrid feedback control law for parking a wheeled mobile robot of unknown parameters with unknown parameters is proposed, whose kinematics can be described by Brockett's nonholonomic integrator after an appropriate state and control coordinate transformation.

TL;DR: In this article, two alternative schemes are proposed in which the unit quaternion is adopted to represent the orientation, and sufficient conditions ensuring local exponential stability of the two controllers are derived via Lyapunov analysis.

TL;DR: For a class of second-order switched systems consisting of two linear time-invariant (LTI) subsystems, this article showed that the conic switching law proposed previously by the present authors is robust, not only in the sense that the control law is flexible (to be explained further), but also in the meaning that the Lyapunov stability (resp., Lagrange stability) properties of the switched system are preserved in the presence of certain kinds of vanishing perturbations.

TL;DR: In this paper, the synthesis of supervisory control for hybrid systems with discrete external signals is addressed, and the maximally permissive supervisor for the hybrid system Σ l is presented.

TL;DR: In this paper, it was shown that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.

TL;DR: For a class of nonlinear systems having triangular structure, this paper provided explicit formulas for feedback controllers, that exhibit global stabilization, based on a version of Sontag's input-to-state-stability property.

TL;DR: In this paper, a Lyapunov-based adaptive control structure is developed, which avoids the possible control singularity problem in adaptive nonlinear control, and the transient bounds of output tracking error are shown to be explicit functions of initial conditions and design parameters.

TL;DR: In this article, the authors solve the problem of decentralized H∞ almost disturbance decoupling for a class of large-scale nonlinear uncertain systems in the absence of matching conditions.

TL;DR: In this paper, the problem of local asymptotic continuous feedback stabilization of single-input nonlinear systems is considered, where the authors explicitly construct a continuous stabilizing feedback for a class of systems that is known to be continuous feedback stabilizable but for which the known results do not provide an effective method to compute the stabilizer.

TL;DR: In this paper, the stabilization problem for nonlinear systems in a generalized high-order chained form is solved by means of discontinuous state feedback control laws, which yield exponential convergence of the states to the origin.

TL;DR: In this article, the authors establish some results which are more effective and relatively easy to verify to obtain the required stability for general non-autonomous cases, which are used in this paper.

TL;DR: In this article, an equivalence relation between global asymptotic stability and integral input-to-state stability was shown for discrete-time systems, which is a notion of robust stability with respect to exogenous disturbances.

TL;DR: In this article, the authors provide a sufficient condition for domination redesign to apply, which relies on properties of local homogeneous approximations of the system and of the control Lyapunov function.

TL;DR: In this paper, the authors studied the link existing between the parametrization of differential operators by potential-like arbitrary functions and the localization of differential modules, while applying these results to linear multidimensional control systems.

TL;DR: In this paper, necessary and sufficient conditions for orbital feedback linearizability are presented for a class of single-input nonlinear systems, and an algorithm is developed to compute state-dependent time scaling that yield state-feedback linearizable systems.

TL;DR: In this paper, the authors propose a methodology for the synthesis of nonlinear robust output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-varying uncertain variables.

TL;DR: In this article, the authors considered the problem of feedback stabilization for the distributed bilinear system y′(t)=Ay(t)+u(t)By(t), where A is the infinitesimal generator of a linear C0 semigroup of contractions on a Hilbert space H and B:H→H is a linear bounded operator.