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Showing papers in "Systems & Control Letters in 2000"


Journal ArticleDOI
TL;DR: In this article, it was shown that a continuous dynamical system on a state space that has the structure of a vector bundle on a compact manifold possesses no globally asymptotically stable equilibrium.

790 citations


Journal ArticleDOI
TL;DR: In this article, a new LMI-based sufficient condition for the existence of parameter-dependent Lyapunov functions is proposed, which generalises previously published conditions and appears to be promising for robust multi-objective performance analysis and control synthesis purposes.

711 citations


Journal ArticleDOI
TL;DR: In this article, a new feedback design tool called adding a power integrator is introduced and used to solve the problem of global robust stabilization, for a significant class of uncertain nonlinear systems that are of a lower-triangular form but neither necessarily feedback linearizable (fully or partially) nor affine in the control input, and therefore cannot be dealt with via conventional approaches.

456 citations


Journal ArticleDOI
TL;DR: In this article, a dynamic compensator is added to the integrator used for adaptation to improve the overall relative degree and phase response of the extremum seeking loop, which is potentially more effective in accounting for the plant dynamics than the often used phase shifting of the demodulation signal.

407 citations


Journal ArticleDOI
TL;DR: In this paper, the stabilizability of a linear, discrete-time plant with a real-valued output when the controller, which may be nonlinear, receives observation data at a known rate was investigated, and it was shown that under a finite horizon cost equal to the m th output moment, the problem reduces to quantizing the initial output.

333 citations


Journal ArticleDOI
TL;DR: In this article, a unifying adaptive observer form is proposed, which emphasizes properties allowing some asymptotic state estimation in spite of unknown parameters, as well as additional properties which further allow parameter estimation.

303 citations


Journal ArticleDOI
TL;DR: In this paper, the authors presented separation results for globally bounded stabilizing state feedback controllers when the high-gain observer is designed using pole-placement so as to create a closed-loop system with two-time-scale structure.

245 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the robustness of linear systems under time-varying perturbations is undecidable, and the same is true for the stability of a simple class of hybrid systems.

234 citations


Journal ArticleDOI
TL;DR: In this paper, a new control algorithm based on discrete-time variable structure systems theory is proposed, which reaches the sliding manifold in finite time, without chattering, and the robustness of the algorithm with respect to parameter uncertainties, as well as external disturbances is considered.

225 citations


Journal ArticleDOI
TL;DR: In this paper, the problem of robust output regulation for a class of nonlinear systems driven by a linear neutrally stable exosystem is solved by using a dynamic controller which processes information from the regulated error only.

224 citations


Journal ArticleDOI
TL;DR: In this paper, a simple controller for balancing the inverted pendulum and raising it to its upper equilibrium position while the cart displacement is brought to zero is proposed, based on an energy approach of the cart and pendulum system.

Journal ArticleDOI
TL;DR: In this paper, the authors address the class of stochastic output-feedback nonlinear systems driven by noise whose covariance is time varying and bounded but the bound is not known a priori.

Journal ArticleDOI
TL;DR: In this paper, the eigenvalues of the solutions to a class of continuous and discrete-time Lyapunov equations with symmetric coefficient matrices and right-hand side matrices of low rank were studied.

Journal ArticleDOI
TL;DR: For the reach tube of a linear time-varying system with ellipsoidal bounds on the control variable consider the following approximation problem as discussed by the authors : find a tight ellipseid-valued tube inside a reach tube that touches it along any prespecified smooth curve on the boundary, and show that the tube can be calculated recursively, with minimum computational burden.

Journal ArticleDOI
TL;DR: In this paper, a frequency-domain approach to stabilization for a large class of systems with transfer functions involving fractional powers of s is given, and a necessary and sufficient criterion for BIBO stability is given.

Journal ArticleDOI
TL;DR: In this paper, a converse Lyapunov theorem for uniform asymptotic stability of switched nonlinear systems with bounded disturbances is presented. But this theorem is only applicable to systems with a bounded number of disturbances.

Journal ArticleDOI
TL;DR: In this article, the problem of global exponential stabilization of the Kuramoto-Sivashinsky equation (KSE) subject to periodic boundary conditions via distributed static output feedback control is addressed.

Journal ArticleDOI
TL;DR: In this article, the authors discuss additional conditions for stability and robust stability of the transformed system which do not appear when the original system is considered, which is quite common in stability analysis of time-delay systems.

Journal ArticleDOI
TL;DR: In this article, the authors revisited a technique for solving multiobjective control problems through affinely parameterizing the closed-loop system with the Youla parameterization and confining the search of the parameter to finite-dimensional subspaces.

Journal ArticleDOI
TL;DR: The main technique used in this paper is the Razumikhin-type theorem established recently by Mao, which will concentrate on the study of exponential stability of stochastic interval systems with time-varying delays.

Journal ArticleDOI
TL;DR: In this paper, the problem of global asymptotically stabilizing a certain class of uncertain feedforward nonlinear systems is considered and the control law is obtained by nesting saturation functions whose amplitude can be rendered arbitrarily small.

Journal ArticleDOI
TL;DR: In this paper, a backstepping boundary control law for Burgers' equation with actuator dynamics is proposed, and the closed-loop system, including the boundary dynamics, is globally H3 stable and well posed.

Journal ArticleDOI
TL;DR: In this article, an output-feedback saturated controller is proposed to ensure regulation of the desired output voltage and is, at the same time, insensitive to uncertainty in the load resistance, which can be used to tune the controller so as to (locally) ensure robust performance.

Journal ArticleDOI
TL;DR: In this article, a new adaptive control technique called adding a power integrator is proposed, for a class of linearly parametrized high-order nonlinear systems that are of a lower-triangular structure, but neither feedback linearizable nor affine in the control input.

Journal ArticleDOI
TL;DR: Tuning guidelines derived from the proposed PID control configuration and closed-loop stability analysis are presented and it is shown that the performance of the inverse dynamics control can be recovered by the PID control in the high-gain limit.

Journal ArticleDOI
TL;DR: In this article, the authors proposed a bounded controller with exponential convergence rate for nonholonomic systems in chained form, where the control laws are not continuous at the origin and although they provide exponential rates of convergence, they may use significant amount of control effort, especially if the initial conditions are close to an equilibrium manifold.

Journal ArticleDOI
TL;DR: In this article, a robust solution based on a new reparametrization procedure is adopted in order to derive necessary conditions of optimality, which are obtained by taking a limit of those for an appropriate sequence of auxiliary optimal control problems approximating the original one.

Journal ArticleDOI
TL;DR: In this article, a new method for the synthesis of linear parameter-varying (LPV) controllers in discrete time is presented, which can handle a set of H2/H∞ specifications that can be defined channel-wise.

Journal ArticleDOI
TL;DR: In this article, the observability codistribution for a nonlinear system is introduced, which extends the notion of unobservability subspace to nonlinear systems, and its properties are studied.

Journal ArticleDOI
TL;DR: In this article, a simple backstepping design procedure is proposed and sufficient conditions for global partial state and dynamic feedback stabilization for a class of triangular systems with unknown time-varying parameters are derived.