Showing papers in "Systems & Control Letters in 1990"

TL;DR: In this paper, the authors considered the problem of finding an adapted pair of processes with values in Rd and Rd×k, respectively, which solves an equation of the form: x(t) + ∫ t 1 f(s, x(s), y(s)) ds + ∪ t 1 [g(m, x, s, g(m)) + y(m)] dW s = X.

TL;DR: In this paper, a stable discrete sliding mode control insensitive to the choice of sampling interval and not yielding chattering is presented, which is based on a discrete Lyapunov function and a sufficient condition of the control gain to make the system stable is given.

TL;DR: A very simple method to compute a rather close lower bound on the H ∞ - norm, based on the relation between the singular values of the transfer function matrix and the eigenvalues of a related Hamiltonian matrix.

TL;DR: In this article, the problem of fault detection and identification filters in the frequency domain is formulated and solved using the factorization approach, and necessary and sufficient conditions for the existence of fault identification as well as detection and isolation filters are derived.

TL;DR: In this article, it was shown that near a local maximum, the largest singular value of a transfer matrix has a Lipschitz second derivative, but need not have a third derivative.

TL;DR: In this article, necessary and sufficient conditions for pole/zero cancellations in the close-loop transfer function from input disturbances to error signals in the general H ∞ problem are given.

TL;DR: In this article, the authors derived formulas for both supremal controllable and normal sublanguages when the languages involved are closed and showed that these formulas can be computed without applying recursive algorithms.

TL;DR: In this paper, an output feedback controller which stabilizes a system and satisfies a prescribed H∞ norm bound of the closed loop transfer function is derived, which is available for any system, i.e., there are no restrictions on D12 and D21.

TL;DR: In this article, sufficient conditions for the global stabilizability of two cascade connected nonlinear systems are presented, based on general results concerning global asymptotic stability of triangular systems which are proved in the last section.

TL;DR: Sufficient Lyapunov-like conditions are presented for the existence of a nonlinear observer and the theory develops considerably improves and extends the results of the recent work.

TL;DR: In this article, a necessary condition for the existence of a - static or dynamic - continuous asymptotically stabilizing feedback control for the system x dot = f(x, u) is given.

TL;DR: In this article, the authors consider the problem of manipulating the input to a discrete-time state space linear system with the goal of obtaining information at each time about the system's current state from a record of past quantized measurements of the output.

TL;DR: In this paper, the problem of computing the frequency response of linear systems with parametric perturbation is addressed, and the results are useful in determining the H∞ norm, gain margin and phase margin and in improving the diagonal dominance of uncertain systems.

TL;DR: In this article, a stochastic maximum principle is derived which is formally of general application and moreover differs from the classic deterministic principle only by a modification of the Hamiltonian, and so requires no solution of stochastically differential equations or calculation of conditional expectations.

TL;DR: In this paper, the adaptive stabilization of first order nonlinear systems of the form x x = f(x) + ug(x), where x is the sign of the gain, is studied.

TL;DR: In this paper, a theoretical framework for the stabilization of control systems defined by a class of nonlinear differential-algebraic equations is established and conditions for local stabilization of a single equilibrium solution, including one set of conditions which can easily be checked using standard computations, are indicated.

TL;DR: In this article, the Energy-Casimir method is used to prove stabilizability of the angular momentum equations of the rigid body about its intermediate axis of inertia, by a single torque applied about the major or minor axis.

TL;DR: In this paper, a robust H ∞ control design for a class of linear time-invariant systems with uncertainty in the state space model is studied. But the authors focus on the problem of robust H-control design and do not consider the robust stabilization of the system.

TL;DR: Formulas are given for the norms of SG and GH: G is a linear continuous-time system, S an ideal sampler, and H a zero-order hold; the signal spaces are L2(−∞, ∞) (continuous-time) and l2(Z) (discrete-time).

TL;DR: For systems with structured real perturbations, this paper showed that the robustness margin for stablhty can be a discon- tinuous function of the problem data.

TL;DR: A lead or lag compensator robustly stabilizes a family of interval plants if and only if it simultaneously stabilizes the "vertex" plants as mentioned in this paper, which is not the case here.

TL;DR: In this paper, the authors considered the mixed-norm H 2 /H ∞ standard problem and derived sufficient conditions for characterizing full and reduced-order controlleers that satisfy bounds on both H 2 and H ∞ performance costs.

TL;DR: In this paper, Cartan's results on absolute equivalence of differential systems are shown to imply a generalization of a recent result on dynamic feedback linearization of scalar control systems.

TL;DR: In this article, the authors investigated the effect of sampling on linearization for continuous time systems and showed that linearizability via digital feedback imposes highly nongeneric constraints on the structure of the plant, even if this is known to be linearizable with continuous-time feedback.

TL;DR: In this paper, the stability robustness of polynomials with coefficients which are affine functions of the parameter perturbations is investigated and a simple and numerically effective procedure, which is based on the Hahn-Banach theorem of convex analysis and which is applicable for any arbitrary norm, is obtained.

TL;DR: In this paper, a nonlinear generalization of the Youla-Kucera parametrization for nonlinear systems is presented, and the equivalence of the class of all (bounded-input) stabilizing nonlinear pre- and feedback-compensators to a class of possibly unstable feedback controllers is shown.

TL;DR: In this paper, the robust stabilization of a class of perturbed coprime factors of a delay system with transfer function G(s = h2(s)h1(s).

TL;DR: In this article, the authors demonstrate that the model reference adaptive controller is robust with respect to small model/plant mismatch, and the control parameters are constrained to belong to a compact set which contains the parameters of a stabilizing controller.

TL;DR: In order for the standard Kalman filter to generate the conditional mean and conditional covariance of the conditionally Gaussian distributed state, it is sufficient for the random matrices to be finite with probability one at each time instant.

TL;DR: In this article, an extended nonlinear observer canonical form is introduced based on the theory of designing unknown input observers, which can easily be constructed for those systems which can be transformed into this canonical form.