Set Stabilization of a Class of Positive Systems

Set Stabilization of a Class of Positive Systems

A specific class of positive systems is considered, where the system structure allows control of the distribution of “mass” in the system. Some robustness properties of the controller are pointed out, and the applicability of the model class is discussed. An example considering a CSTR modeled by massand energy balances illustrates the presented concepts.

Global Stabilization of a Class of Partially Known Positive Systems

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an output feedback control procedure, taking advantage of measurements of the uncertain part, able to globally stabilize the system towards an adjustable equilibrium...

State Feedback Set Stabilization for a Class of Nonlinear Systems

A controller for a class of multiple input systems is proposed, with a subset of nonlinear positive systems as a special case. The controller is shown to obtain set stability of a certain subset of the state space. A simple example illustrates the theory.

Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems

  This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...

Stabilization of positive linear systems