It is shown, how to create the continuous system equivalent to the system with sliding mode control. In the case of minimum phase plants, the system arises from the replacement of the relay with small hysteresis by the amplifier with high gain, connected in series with saturation having appropriate parameters. In the case of nonminimum phase (or other difficult plants) it is noted that similar ...

This paper analyzes the stabilizability properties of nonlinear cascades in which a nonminimum phase linear system is interconnected through its output to a stable nonlinear system. It is shown that the instability of the zeros of the linear system can be traded with the stability of the nonlinear system up to a limit fixed by the growth properties of the cascade interconnection term. Below thi...

-There has been a great deal of excitement recently over the development of a theory for explicitly linearizing the input-output response of a nonlinear system using state feedback. One shortcoming of this theory is the inability to deal with non-minimum phase nonlinear systems. Highly maneuverable jet aircraft, such as the V/STOL Harrier, belong to an important class of a slightly non-minimum ...

Coronal mass ejections (CMEs) originate from closed magnetic field regions on the Sun, which are active regions and quiescent filament regions. The energetic populations such as halo CMEs, CMEs associated with magnetic clouds, geoeffective CMEs, CMEs associated with solar energetic particles and interplanetary type II radio bursts, and shock-driving CMEs have been found to originate from sunspo...

In this paper it is explored whether or not a well-known adjoint Iterative Learning Control (ILC) algorithm can be applied to Repetitive Control (RC) problems. It is found that due to the lack of resetting in Repetitive Control, and the non-causal nature of the adjoint algorithm, the implementation requires a truncation procedure that can lead to instability. In order to avoid the truncation pr...

The problem of (local) static output feedback stabilization for a class of minimum phase relative degree two systems is studied. It is shown that, under natural assumptions, it is possible to design a stabilizing static output feedback control law and to give an estimate of the resulting region of attraction. The general results are illustrated via examples.

It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continuous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the highfrequency gain is not required.