Positive control

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Securing Positive Train Control Systems

Positive train control (PTC) systems are distributed interoperable systems that control the movement of passenger and freight trains, providing significant safety enhancements over traditional methods of operating railroads. Due to their reliance on wireless communications, PTC systems are vulnerable to attacks that can compromise safety and potentially cause serious accidents. Designing PTC sy...

Positive torque control cardiac catheters.

Positive Constrained Control for Continuous-time Fractional Positive Systems

The stabilization problem for fractional linear continuous-time systems having bounded positive control is solved, with the additional condition of non negativity of the states. Thus, a methodology to develop state-feedback controllers is proposed, based on Linear Programming conditions. An illustrative example is provided to show the usefulness of the results.

Positive Control for a Class of Nonlinear Positive Systems

In this contribution, we focus on a class of nonlinear positive systems, arising especially in biological processes. These are SISO input-affine systems with a nonlinear measurable drift. We develop a positive output feedback control law for these systems and prove the global asymptotic stability of an equilibrium point for the closed loop systems, that can be set on a model-dependent surface. ...