Showing papers in "Systems & Control Letters in 1988"

TL;DR: In this paper, the relationship between robust and stochastic control is established, giving an equivalence between robust control and control with respect to the Riccati Equation (RCE).

TL;DR: In this article, the authors considered the general four-block H ∞ optimal control problem with the assumption that system states are available for feedback and showed that the optimal norm of the closed loop transfer function over all linear constant, i.e., non-dynamic, stabilizing state feedback laws can be characterized via an algebraic Riccati equation.

TL;DR: In this article, robust stabilization of a class of linear systems with norm-bounded time-varying uncertainties is considered, and it is shown that for this class of uncertain systems quadratic stabilizability via linear control is equivalent to the existence of a positive definite symmetric matrix solution to a (parameter-dependent) Riccati equation.

TL;DR: In this paper, the adaptive control of rigid link manipulator systems is examined and linear estimation techniques together with a computed torque control law are shown to give a globally convergent adaptive system which does not require measurements of accelerations.

TL;DR: In this article, it was shown that any minimum-phase nonlinear system can always be locally stabilized by smooth state-feedback, and the main purpose of the paper was to show that any nonlinear nonlinear model can be locally stabilised by smooth feedback.

TL;DR: In this article, it was shown that the gap between two systems (P1, P2) is precisely the maximum of the two expressions inf QϵH ∞ D i N i − D j N j Q ∞ for (i, j) equal to (1, 2) and (2, 1), and (Ni, Di) being normalized right coprine factorizations of Pi, i = 1, 2, in the sense of Vidyasagar [12].

TL;DR: In this paper, necessary and sufficient conditions for a polyhedral set to be positively invariant set of a linear discrete-time system are established, where the polyhedral sets are defined as polytopes.

TL;DR: In this article, it was shown that a necessary condition for the existence of an exponential observer for a nonlinear system is that the corresponding linearized system is detectable, and for local exponential stabilization problems, the condition is also sufficient.

TL;DR: In this paper, the behaviour of the zero dynamics of a discrete-time system obtained when sampling a continuous time nonlinear system is studied and a result which generalizes the known behaviour of a sampled linear system for small time intervals is given.

TL;DR: In this paper, the stabilizability of a rigid body by smooth feedback of the angular velocity of the rigid body was discussed and it was shown that a single control aligned with a principal axis cannot asymptotically stabilize the system.

TL;DR: In this article, a closed form for the maximal perturbation bounds under which stability is preserved was derived for the stability box around the coefficients of a nominally stable polynomial.

TL;DR: In this article, the necessary and sufficient conditions for robustly stabilizing a class of plants characterized by a known linear shift invariant plant with additive perturbations of the form of possibly nonlinear, time varying l ∞ -stable operators were obtained.

TL;DR: In this paper, the conditions for dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part are considered. But they do not consider the case where the input and output of a nonlinear system satisfy integral quadratic constraints.

TL;DR: In this article, the authors investigate the problem of smooth feedback stabilization of nonlinear systems with stable uncontrolled dynamics and present sufficient conditions for the existence of a smooth feedback stabilizing control that are also necessary in the case of linear systems.

TL;DR: An abstract non-constructive theorem, and an algorithm which allows us to recognize nonlinear systems that can be steered to bilinear systems by output injection and nonlinear change of coordinates are given.

TL;DR: In this paper, the authors deal with global stabilizability at the origin of a homogeneous vector field by means of homogeneous feedbacks of the same degree and give a sufficient condition, which turns out to be also necessary in the linear case.

TL;DR: In this article, the authors examined sliding mode control from the perspective of obtaining stable and robust tracking of an arbitrary time-varying reference by a multi-input-output, linear, time-invariant system driven by a certain class of bounded errors, nonlinearities and disturbances.

TL;DR: In this paper, Hankel-Toeplitz operators which occur in feedback theory, e.g., in the minimization of mixed H∞ sensitivity and complementary sensitivity, are considered.

TL;DR: In this article, a complete solution to the ϵ-bound problem in a linear time-invariant singularly perturbed system is given, and a criterion is presented to determine the existence of the bound.

TL;DR: In this paper, the stability of piecewise deterministic linear systems driven by an underlying finite Markov chain is analyzed and necessary and sufficient conditions for moment stability are obtained by means of an explicit formula for the corresponding Liapunov exponent.

TL;DR: In this paper, the authors characterized the admissible unbounded input elements for diagonal semigroups on l 2 and verified the necessity of a condition whose sufficience was previously established by Ho and D.L. Russell.

TL;DR: In this article, a variant of the LQG problem for systems with Markovian jumping parameters is studied and it is shown that a certain averaged control is an optimal policy vis-a-vis a modified quadratic cost.

TL;DR: In this article, the design of a feedback stabilizing control for single-input nonlinear systems is explicitly constructed using partial feedback linearization (SRL) and center manifold theory.

TL;DR: This paper studies the following problem: Under what circumstances are maximum likelihood estimators optimal in the worst case?

TL;DR: In this article, the L ∞ convergence of partial-fraction decompositions of single-input-single-output delay systems is studied, and conditions for the nuclearity of such systems are derived, and examples given.

TL;DR: In this article, a relation between coprime fractions and the gap metric is presented, and sufficient conditions for robust BIBO stabilization for a wide class of systems are provided, which allow the plant and the compensator to be disturbed simultaneously.

TL;DR: In this article, a nonsymmetrical set of positive invariance and global attractivity was obtained for a class of linear discrete-time systems with nonsymmetric constrained controls, and a globally asymptotically stable regulator was obtained, despite the existence of the constrained controls.

TL;DR: In this article, the Riccati equations arising in linear quadratic differential games were studied and it was shown that if a certain minimum phase condition is satisfied, then the corresponding solution to the corresponding equation will also approach zero.