Showing papers in "Systems & Control Letters in 2001"

TL;DR: A new (descriptor) model transformation and a corresponding Lyapunov–Krasovskii functional are introduced for stability analysis of systems with delays and conditions are given in terms of linear matrix inequalities.

TL;DR: In this paper, it was shown that every chain of odd power integrators perturbed by a C1 triangular vector field is globally stabilizable via non-Lipschitz continuous state feedback, although it is not stabilizable, even locally, by any smooth state feedback because the Jacobian linearization may have uncontrollable modes whose eigenvalues are on the right half-plane.

TL;DR: It is shown that extending the new discrete time stability condition proposed by de Oliveira et al. to the case of time varying uncertainty leads to a necessary and sufficient condition for the computation of such a Lyapunov function.

TL;DR: In this article, the authors introduce a weaker notion of stability, which can be viewed as a dual to Lyapunov's theorem, which is used for stability analysis of ordinary differential equations and has a convexity property related to control synthesis.

TL;DR: In this paper, a new model predictive control (MPC) framework is proposed to generate feedback controls for time-varying nonlinear systems with input constraints, and a set of conditions on the design parameters that permits to verify a priori the stabilizing properties of the control strategies considered.

TL;DR: In this article, generalized canonical transformations for generalized Hamiltonian systems are introduced, which convert a generalized Hamiltonians system into another one, and preserve the original structure of the original one.

TL;DR: This work provides necessary and sufficient conditions to solve the stabilization problem by means of affine state feedback of positive linear systems which are in the interior of the first orthant.

TL;DR: In this paper, a model-based control design strategy for the kinematic model of a wheeled mobile robot in the presence of input saturations is developed via a simple application of passivity and normalization.

TL;DR: The main result of the paper is to prove that this iterative algorithm provides a controller which quadratically stabilizes the uncertain system with probability one in a finite number of steps.

TL;DR: A robustly stabilizing state feedback controller can be constructed by using the corresponding feasible solution of the matrix inequalities in terms of certain matrix inequalities.

TL;DR: In this paper, an explicit form of nonlinear observers for a class of multi-input multi-output (MIMO) systems is presented, where the subsystem for each output has a triangular dependence on the states of that subsystem itself.

TL;DR: A simple and numerically efficient feasibility test provides a set of Lyapunov matrices whose convex combination can be used to assess the stability of any dynamic matrix inside the uncertainty domain.

TL;DR: It is proved that under classical PID control, semiglobal stability can be assured with arbitrary small output tracking error, which means that, for any given set of initial conditions Wx, there exist PID control gains such that all trajectories starting in Wx converge to a residual set of arbitrary size.

TL;DR: In this article, the authors revisited the classical problem of attitude tracking for a rigid body and constructed globally stabilizing control laws in terms of a minimal set of three-dimensional kinematic parameters that enable the rigid body to track any specified trajectory without requiring angular velocity measurements.

TL;DR: In this paper, converse Lyapunov theorems for input-output to state stable (ISS) switched nonlinear systems are presented, and their proofs are based on existing converse LYP theorem for input output to state-stable and iISS nonlinear system.

TL;DR: Modeling and parameter identification of Wiener type nonlinear dynamic systems having discontinuous asymmetric piecewise-linear characteristics with preloads and dead zones and multiple application of a decomposition technique is dealt with.

TL;DR: Using state-coordinate and congruence transformations and by imposing a block-diagonal structure on the Lyapunov matrix, it will see that the determination of a static output feedback gain reduces, for a specific class of plants, to finding the solution of a system of linear matrix inequalities.

TL;DR: In this article, the problem of designing the linear state observers such that, for all admissible parameter uncertainties, the observation process remains robustly stable and the transfer function from exogenous disturbances to error state outputs meets the prespecified H∞ norm upper bound constraint, independently of the time delay.

TL;DR: In this paper, sufficient conditions ensuring that a nonlinear system with disturbances having a delay is globally asymptotically stable independent of delay are given, relying extensively on a characterization of the stability property in terms of Lyapunov function.

TL;DR: In this article, the Luenberger observer design problem is formulated via a system of first-order linear nonhomogeneous functional equations, and a rather general set of necessary and sufficient conditions for solvability is derived using results from functional equations theory.

TL;DR: A finite horizon optimal control problem for a class of linear systems with a randomly varying time-delay modelled by a Markov process with a finite number of states is studied.

TL;DR: In this article, the existence and uniqueness of the state trajectories (temperature and reactant concentration) for nonisothermal plug flow and axial dispersion tubular reactor models are analyzed.

TL;DR: A new algorithm ensuring global attractivity of the upright (unstable) equilibrium of a pendulum, based on the variable structure system-version of the energy-speed-gradient method, is proposed and it is shown thatglobal attractivity cannot be obtained with continuous static state feedback.

TL;DR: It is proved that the chained form is linearizable via nonregular feedback control, thus enable us to design feedback control laws using standard techniques for linear systems.

TL;DR: A new detectability concept for discrete-time Markov jump linear systems with finite Markov state is presented, which generalizes the MS-detectability concept found in the literature and introduces a related observability concept that also generalizes previous concepts.

TL;DR: An explicit expression is obtained for the optimally achievable closed-loop H ∞ norm and the optimal control gains of state-space symmetric systems and extension to robust and positive real control of such systems are examined.

TL;DR: This work provides an explicit formula for bounded feedback stabilizers for a wide class of triangular nonlinear systems having feedforward structure and whose linearization at the equilibrium is in general uncontrollable.

TL;DR: A simple and useful approach to design observers for discrete-time systems with delays in the state and output variables using the Lyapunov approach and a modified Riccati equation.

TL;DR: It is established that a SISO linear stabilizable and detectable system subject to output saturation can be semi-globally stabilized by linear output feedback if all its invariant zeros are in the closed left-half plane, no matter where the open loop poles are.

TL;DR: In this paper, the authors derive necessary and sufficient conditions for the existence of a control law that renders the closed-loop system strictly positive real with respect to a disturbance input, which is used to establish feasibility of recent nonlinear controller and observer designs based on the circle criterion.