scispace - formally typeset
Search or ask a question

Showing papers in "Systems & Control Letters in 1991"


Journal ArticleDOI
TL;DR: In this article, the standard H∞ optimal control problem using state feedback for smooth nonlinear control systems was studied, and the main theorem obtained roughly states that the L2-induced norm (from disturbances to inputs and outputs) can be made smaller than a constant γ > 0 if the corresponding H ∞ norm for the system linearized at the equilibrium can be reduced by linear state feedback.

450 citations


Journal ArticleDOI
TL;DR: In this paper, the authors provide a formula for stabilizing feedback law using a bounded control, under the assumption that an appropriate control-Lyapunov function is known such a feedback, smooth away from the origin and continuous everywhere, is known via Artstein's Theorem.

431 citations


Journal ArticleDOI
TL;DR: In this article, a lifting technique was developed for periodic linear systems and applied to the H ∞ and H 2 sampled-data control problems, where the lifting technique is applied to periodic linear system.

412 citations


Journal ArticleDOI
TL;DR: In this article, the authors studied the relationship between the following two properties: P1: the system x = f(x, y), y = v is locally asymptotically stabilizable; and P2: the systems x = r n, y ϵ R, r n, r r, r r is locally stabilizable, where r n is the dimension of the system.

285 citations


Journal ArticleDOI
TL;DR: In this paper, simple characterizations of controllability, observability, of their duality and of a minimal realization of a Kalman state variable realization for generalized linear systems are proposed.

233 citations


Journal ArticleDOI
TL;DR: In this article, an adaptive stabilizer is described for a class of single-input nonlinear systems modelled as a controlled differential inclusion on R n, which has a discontinous feedback structure and incorporates a gain of Nussbaum type.

220 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated the global stabilizability problem for a wide class of single-input nonlinear systems whose linearization at the equilirrium is controllable and showed that under general assumptions there exists a linear feedback law which globally exponentially stabilizes the system at its equilibrium.

177 citations


Journal ArticleDOI
TL;DR: In this article, a class of single-input single-output nonlinear systems which are globally transformable by a dynamic output feedback control and a time-varying state space transformation into a linear, observable and minimum phase system is presented.

143 citations


Journal ArticleDOI
TL;DR: In this article, the Riccati equation formulation of the positive real lemma is used to guarantee robust stability in the presence of positive real (but otherwise unknown) plant uncertainty.

142 citations


Journal ArticleDOI
TL;DR: It is shown that the -'~2 optimal control problem for a sampled-data system is equivalent to a standard ,9~' 2 optimal control problems for a related discrete-time system.

142 citations


Journal ArticleDOI
TL;DR: In this paper, the supervisor synthesis problem of discrete event dynamical systems (DEDS) is studied through the use of synchronous composition of the plant and the supervisor and discusses some of the simplifications achieved by using the synchronous compositions to model supervisory control.

Journal ArticleDOI
TL;DR: For both discrete and continuous-time linear time-varying systems, the authors obtained the achievable performance levels for minimax filters, predictors and smoothers, in terms of the finite escape times of some related Riccati equations.

Journal ArticleDOI
TL;DR: In this article, a discrete-time H2 static output feedback design problem involving a constraint on H∞ disturbance attenuation is addressed and state space formulae are derived.

Journal ArticleDOI
TL;DR: In this article, the authors introduce the notion of uniform system approximation and use it to solve the following problem: given a single input nonlinear system (f, g): x = f(x + g(x)u) that is linearly controllable on a manifold E of equilibrium points, find vector fields f, g such that (f and g) and f, G agree to first order on E and (f, g ) is input-to-state linearizable on a neighborhood of E.

Journal ArticleDOI
TL;DR: In this article, a Riccati equation approach is used to solve the problem of linear periodic estimator with a certain type of norm-bounded time-varying parameter uncertainty, which appears in both the state and output matrices.

Journal ArticleDOI
TL;DR: In this paper, a sufficient condition is proposed to guarantee robust pole location within a specified circular region for a linear uncertain system, and explicit bounds on linear time-invariant perturbations with highly structured information are obtained.

Journal ArticleDOI
TL;DR: In this article, the authors obtain a necessary and sufficient condition for a discrete-time nonlinear system to be locally state equivalent to the nonlinear observer form, which is similar to the continuous counterpart except for the fact that Ad-operation is utilized instead of ad-operation.

Journal ArticleDOI
TL;DR: A new family of shift-invariant representations for periodic linear discrete-time systems has the advantages over the standard representation of preserving the time step of the original system, and of preserving causality under arbitrary feedback.

Journal ArticleDOI
TL;DR: A discrete-variable structure control is presented and a condition is given for stability and the strategy ensures that sliding mode can be obtained exponentially fast to keep the system robust.

Journal ArticleDOI
TL;DR: In this article, the authors show that receding horizon control has stabilizing properties when applied to a class of nonlinear systems, which is an extension of our previous results which require the finite horizon value function to be continuously differentiable.

Journal ArticleDOI
TL;DR: In this article, the authors proposed to solve the H ∞ optimal estimation problem via interpolation theory, which can be applied to both continuous-time and discrete-time systems.

Journal ArticleDOI
TL;DR: In this paper, a class of optimal control problems in viscous flow was studied and the main results were the Pontryagin maximum principle and the verification theorem for the Hamilton-Jacobi-Bellman equation.

Journal ArticleDOI
TL;DR: In this article, the standard computed torque control law is shown to be robust with respect to unknown dynamics by judiciously choosing the feedback gains and the estimates of the nonlinear dynamics.

Journal ArticleDOI
TL;DR: In this article, the supervisory control of discrete-event systems under partial observation is examined and a fixed-point characterization of observability is given and an effective test for observability where the system under consideration is specified by regular languages.

Journal ArticleDOI
TL;DR: In this paper, the known geometric results on the disturbance decoupling problem with measurement feedback and internal stability (DDPMS) are extended to include non-zero direct feedthrough matrices.

Journal ArticleDOI
TL;DR: In this paper, the authors defined the maximally stabilizing controller as the controller that maximizes the minimum angle between the graph space associated with the system and the controller, and calculated the controller as a Nehari extension of the coprime factors of the system.

Journal ArticleDOI
TL;DR: The relationship between sign and stability of equilibria in positive linear systems is investigated in this article, where it is proved that the well-known result that stability and irreducibility imply strict positivity can be better specified by introducing the notion of excitability.

Journal ArticleDOI
TL;DR: The inner-outer factorization for square real rational matrices which may have zeros on the jω-axis including infinity is discussed and a factorization method is given in terms of the descriptor form representation of the rational matrix.

Journal ArticleDOI
TL;DR: In this article, a control system is described by a diagonal semigroup on the state space and by an unbounded control operator B defined on the input space l 2, and a condition called the operator Carleson measure criterion is formulated.

Journal ArticleDOI
TL;DR: In this article, an algorithm is presented to compute the maximum robust controlled invariant subspace contained in a given subspace, which is based on a special computational scheme to derive the intersection of a family of subspaces.