Showing papers in "Systems & Control Letters in 1987"

TL;DR: In this paper, the authors present an algorithm for the stabilization of a class of uncertain linear systems, which is described by state equations which depend on time-varying unknown-but-bounded uncertain parameters.

TL;DR: The extended Luenberger observer as discussed by the authors is a nonlinear observer design for nonlinear single-input single-output (SISO) systems, which is based on the extended Kalman filter (EKF) algorithm.

TL;DR: In this paper, local feedback stabilization and bifurcation control of nonlinear systems are studied for the case in which the critical linearized system possesses a simple zero eigenvalue.

TL;DR: In this article, necessary and sufficient conditions for a nonlinear discrete-time system to be locally linearizable by a change of state coordinates and a feedback are given in terms of controllability distributions associated to the system.

TL;DR: In this paper, the H∞-optimal sensitivity problem for delay systems was considered and a new explicit solution was derived for pure delay case where φ = e−sh, h > 0.

TL;DR: In this article, sufficient conditions for the exponential stability of linear time-varying systems of the form dot x (t) = A(t)x(t), t⩾0 were derived.

TL;DR: In this article, it was shown that every system with more inputs than outputs that is right invertible can be decoupled via a dynamic state feedback that can be computed using a given algorithm.

TL;DR: In this paper, the structure and role of the time-delay matrix in discrete-time multivariable processes are discussed, and it is shown that a finite-time horizon or multi-step cost function can be minimized subject to a suitable choice of output and control horizons and without prior knowledge of the system delay matrix.

TL;DR: The robust controlled invariant as mentioned in this paper is defined as a tool to characterize systems subject to parameter changes and to set up a geometric approach to robustness in the large in multi-variable control problems.

TL;DR: In this article, a coprime factorization of a transfer function matrix is presented based on reformulating the problem as a problem of constructing a minimal basis of the right nullspace of a matrix pencil λ B - A.

TL;DR: In this paper, the authors established the simple bound | h | 1 ≤ (2 n + 1) | h| h | H ∞ where |h | 1 is the peak gain of the convolutional system, |h| h ∞ is the maximum frequency response of the system, and n its dimension, and the bound implies that controllers which minimize the maximum of some disturbance-to-error transfer function cannot have very large peak gains from the disturbance to error.

TL;DR: In this article, a complete solution for the case of one pole/zero weighting function and a single-input/single-output plant for stable minimum-phase rational part was presented for H ∞ norm weighted sensitivity minimization when the plant contains a delay in the input.

TL;DR: In this article, a new definition of the local order of a singular arc is proposed, which unifies those already given in the literature, and remains valid even when there are terminal constraints.

TL;DR: In this article, the problem of choosing the Lyapunov function from the class of quadratic forms for differential inclusions is reduced to that of searching saddle points of a suitable function.

TL;DR: In this paper, a new class of solvable finite dimensional estimation algebras is introduced, which contains both the linear and the Benes cases, and the condition for finite dimensionality is expressed in terms of two matrices.

TL;DR: For the class of linear time-invariant single-input continuous systems, the authors find conditions on the input under which the state is persistently exciting for adaptive identification purposes.

TL;DR: In this article, a state space criterion of minimality of a partial realization and a formula for the minimal state space dimension are obtained, and a compression algorithm is constructed which allows one to reduce an arbitrary realization of a finite sequence of matrices M 1, M r to a minimal partial realization of M 1, M r.

TL;DR: The rate of parameter convergence in a number of adaptive estimation schemes is related to the smallest eigenvalue of the average information matrix determined by the regression vector, which may be quite different from the input signals that optimize more classical input design criteria, e.g. D-optimal criterion.

TL;DR: In this paper, the problem of finding the off-diagonal blocks of a closed-loop system with two inputs and two outputs that are smaller than a given positive number is studied.

TL;DR: In this paper, the amplitude of the feedback controller is used to stabilize an uncertain nonlinear system, where the amplitude is defined by a state equation which contains uncertain parameters which are unknown but bounded.

TL;DR: In this article, it was shown that a first-order adaptive regulator globally stabilizes a class of infinite-dimensional systems having no right half plane zeros, and that knowledge of the spectrum of the model's high-frequency gain is not required.

TL;DR: An extension of this result to the case when the channel noise is correlated with the input random variable, and shows that for the single channel case the optimum solution is again linear.

TL;DR: It is shown in this paper that these modes of the system can be eliminated by almost any constant output feedback, and an efficient method to design a compensator for the system is adopted.

TL;DR: An a posteriori estimate of the relative error in the solution of the algebraic matrix Riccati equation, found by the Schur approach, is derived and it is shown that in some cases theSchur approach is numerically unstable.

TL;DR: In this paper, the problem of output dead-beat control, i.e., one-step zeroing of the output, is considered for nonlinear systems with discrete-time controllers.

TL;DR: In this paper, various criteria (including Hamiltonian and frequency-domain ones) for solvability of the matrix Riccati inequality arising from control problems are considered, in terms of symplectic algebra, which is also used as an important technical tool.

TL;DR: In this article, the authors consider a nonlinear discrete-time system of the form Σ: x(t+1)=f(x(t), u(t)), y(t) =h(x) and give necessary and sufficient conditions for local input-output linearizability.

TL;DR: In this paper, Cartan's method of equivalence is applied to the problem of 2-state systems with scalar control under feedback, and the differential invariants produced by the method completely characterize equivalence classes.

TL;DR: In this paper, the authors give a new setting for rational input-output systems, i.e., systems on real affine varieties with the dynamics defined by rational vector fields and with rational output functions, and characterize conditions under which a C∞ system may be immersed into a rational system.

TL;DR: This paper extends the switching free high-gain stabilizing adaptive control rules of Byrnes and Willems to a wide class of adaptive schemes capable of tolerating nonlinear state feedback perturbations.