Low gain feedback, a parameterized family of stabilizing state feedback gains whose magnitudes approach zero as the parameter decreases to zero, has found several applications in constrained control systems, robust control and nonlinear control. In the continuous-time setting, there are currently three ways of constructing low gain feedback laws the eigenstructure assignment approach, the param...

Stabilization is one of the central themes of control theory. It was shown in [1–4] that the class of continuous stationary feedbacks is too restrictive for the purposes of stabilization of nonlinear systems. In other words, in order to design a continuous feedback stabilizer one needs to use functions depending on time and state [6, 8]. To stay with the class of stationary feedbacks one has to...

We introduce a new output feedback controller for general MIMO nonlinear systems which are only observable on regions of the state and input spaces. Unlike previous approaches, we do not add integrators at the input side of the system, and thus avoid the need to design a stabilizing control law for a higher order system. Robustness with respect to a class of time-varying disturbances is guarant...

Technical reports from the Automatic Control group in Linkping are available by anonymous ftp at the address ftp.control.isy.liu.se. This report is contained in the compressed postscript le 2014.ps.Z. Abstract The problem of designing the identiication experiments to make them maximally informative with respect to the intended use of the model is studied. A focus will be on model based control ...

In this paper, we consider the stabilization problem of a one-dimensional wave equation with unknown disturbance. In order to stabilize the system with disturbance, we design a distributed feedback controller by employing the idea of sliding mode control technology. For the resulted nonlinear closed-loop system, we prove its solvability by using the maximal monotone operator. Further we prove t...

The concepts of passivity and dissipativity widely used since 60s [5], [21], [29] have become important tools of input-output nonlinear systems analysis. An important role also belongs to Kalman-Yakubovich Lemma [17], [30], explicitly linking these concepts with classical state-space concepts of stability and optimality. Turning to the problem of system synthesis gives rise to an interest in st...

a total of 183 coagulase negative staphylococcal infected quarters and 64 uninfected quarters were randomly allotted to 4 experimental groups: infected quarters that did not receive any treatment (positive control group; n = 60); infected quarters that received tylosin (n = 61) or cefquinome (n = 62) and also uninfected quarters that did not receive any treatment were considered as negative con...

It has been veri"ed that a controllable series capacitor with a suitable control scheme can improve transient stability and help to damp electromechanical oscillations. A question of great importance is the selection of the input signals and a control strategy for this device in order to damp power oscillations in an e!ective and robust manner. Based on Lyapunov theory a control strategy for da...

A control system q̇ = f(q, u) is said to be trivializable if there exists local coordinates in which the system is feedback equivalent to a control system of the form q̇ = f(u). In this paper we characterize trivializable control systems and control systems for which, up to a feedback transformation, f and ∂f/∂u commute. Characterizations are given in terms of feedback invariants of the system (i...

Behavioral goals are achieved reliably and repeatedly with movements rarely reproducible in their detail. Here we offer an explanation: we show that not only are variability and goal achievement compatible, but indeed that allowing variability in redundant dimensions is the optimal control strategy in the face of uncertainty. The optimal feedback control laws for typical motor tasks obey a “min...