In this paper, we describe a stabilization method for linear time-delay systems which extends the classical pole placement method for ordinary di7erential equations. Unlike methods based on :nite spectrum assignment, our method does not render the closed loop system, :nite dimensional but consists of controlling the rightmost eigenvalues. Because these are moved to the left half plane in a (qua...

Two integrator backstepping designs are presented for digitally controlled continuous-time plants in special form. The controller designs are based on the Euler approximate discrete-time model of the plant and the obtained control algorithms are novel. The two control laws yield, respectively, semiglobal-practical stabilization and global asymptotic stabilization of the Euler model. Both design...

This paper first reviews various results relating state-space (Lyapunov) stabilization to notions of input/output or “bounded-input bounded-output” stabilization, and then provides generalizations of some of these results to the case of systems with saturating controls. 1 Various Notions of Stability Problems of stabilization underlie most questions of control design. In the nonlinear control l...

Stabilization involves finding feedback controllers which stabilize the closed-loop system in the finite-time sense. Stability and control have been developed in the literature using Lyapunov-like method. In this paper, we develop a general framework for stabilization of linear differential-algebraic equations with time-varying delay. Based on Lyapunov-like function method and new bound estimat...

Feedback systems are important in applications, for example, optical feedback lasers, phase-locked frequency synthesizers and wave equations with feedback stabilization at the boundary, and the problem regarding sensitivity and robustness of the feedback system with respect to time delays has attracted a lot of attention. In this paper we continue the discussion on sensitivity and robustness of...

We consider the problem of finding optimal, robust stabilization of linear systems within a family of nonlinear feedback laws. Investigation of the efficiency of full-state and partial-state based so called NPID feedback schemes proposed for stabilization of systems in robotics applications has provided the motivation for our work. We prove that for a given quadratic Lyapunov function and a giv...

Stabilization in multimachine (synchronous generators) power systems is dealt with through a class of decentralized and nonlinear state feedback laws that can be separately designed in a generator-wise fashion, based on what we call the improved swing equations. Stability of the closed-loop power systems is robust with regard to perturbations in electric torques happening in the synchronous gen...

In this paper the stabilization problem of undamped second order system is considered. The stabilization by first order dynamic feedback is studied. The global asymptotic stability of the respectively closed-loop system is proved by LaSalle’s theorem. As an example of application of the proposed method an electric ladder network L and lc type is presented. Numerical calculations were made using...

The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performance requirements. The method of synthesis consists in determining simultaneously a state feedback...

Stabilization of a class of systemswith time delay is studied using adaptive control.With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed.The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient condition...