A linear time-invariant singularly perturbed system with multiple pointwise and distributed small time delays is considered. A novel (direct) approach to exact slow-fast decomposition of this system is proposed. In contrast with the existing method, this approach uses neither a preliminary transformation of the original differential system to an integral one nor rather complicated integral mani...

where x(t) ∈ RN represents the complete state of the network system at time t, N is the number of nodes, y(t) is the vector of q outputs at time t, A ∈ RN×N is the system matrix, and C ∈ Rq×N is the output matrix. If the full initial state of the system, x(t0), can be obtained from the outputs in the time interval [t0, t], the system is observable [S1]. To be concrete, we present a general meth...

Ali Saberi School of Electrical Engineering and Computer Science Washington State University Pullman, WA 99164-2752 U.S.A. The purpose of this paper is to examine the problem of controlling a linear time-invariant system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) signals produced by some external generator. It is shown that a...

It is shown that, for any time-invariant exponentially stable linear systemwith additive disturbances, time-varying exponentially stable interval observers can be constructed. The technique of construction relies on the Jordan canonical form that any real matrix admits and on time-varying changes of coordinates for elementary Jordan blocks which lead to cooperative linear systems. The approach ...

We show that the negative feedback interconnection of two causal, stable, linear time-invariant systems, with a “mixed” small gain and passivity property, is guaranteed to be finite-gain stable. This “mixed” small gain and passivity property refers to the characteristic that, at a particular frequency, systems in the feedback interconnection are either both “input and output strictly passive”; ...

The stability of reset control systems has been mainly studied for the feedback interconnection of reset compensators with linear time-invariant systems. This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. The results are based on the passivity approach to L2-stability for feedback systems with exogenous inputs, and the fact tha...

A pole-placement based adaptive controller synthesized from a multiestimation scheme is designed for linear time-invariant plants. A higher level switching structure between the various estimation schemes is used to supervise the reparametrization of the adaptive controller in real time. The basic usefulness of the proposed scheme is to improve the transient behavior so that the closed loop sta...

The present paper deals with the constrained model predictive control for linear time invariant systems. Even if these techniques reached a considerable maturity in the last decade, the feasibility problems remain a sensitive point at least for applications which involve tracking of challenging reference signals, most often in conjunction with restrictive physical limitations. The main goal her...

This paper develops a new approach in regulation and tracking, combining a disturbance compensator with a controller, both of which are formulated in the discrete-time domain using the variable structure concept. For single-input single-output, linear time-invariant systems, an algorithm for exactly decoupling the disturbance estimation dynamics from the sliding mode dynamics is developed. This...