Finite-Time Non-Fragile Control of a Class of Uncertain Linear Positive Systems

Abstract

The finite-time non-fragile control scheme has received great interest because of its robustness to the controller gain errors. In this paper, we intend to study the finite-time non-fragile control problems for a class of linear positive systems with uncertainties. It devises an appropriate non-fragile control law, such that the closed-loop system is positive and stabilizable and satisfies the given H ∞ performance in a specified time interval. The main issue is to give a sufficient condition for the solution of the designed finite-time non-fragile H ∞ controller associated with the several control techniques applied to the positive system. The design result is described as an optimization problem that can be expressed through a couple of linear matrix inequalities. In the end, we use a practical RL circuit model to evaluate the performance of the proposed controller. INDEX TERMSPositive system, finite-time, non-fragile control, RL circuit model.

Experimental study on robust non‐fragile control of DC‐DC buck converter

“…(ii) considered disturbances and plant uncertainty but neglected controller uncertainties [12,13]. (iii) Apart from the disturbances, both the plant and controller uncertainties are considered in [14][15][16], but choose an arbitrary plant model and the validation was done using numerical simulation. The idea of robust non-fragile control arises from the uncertainty in converter and controller parameters during implementation.…”

Finite‐time sampled‐data fuzzy control for a non‐linear system using passivity and passification approaches and its application

“…In [21], non-fragile control of periodic piecewise linear time-varying systems with time delay has been discussed. Finite-time non-fragile control of a class of uncertain linear positive systems have been considered in [22]. Xia et al [23] presented the non-fragile finite-time extended dissipative control for a class of uncertain discrete-time switched linear systems.…”

Finite-Time Non-Fragile Extended Dissipative Control of Periodic Piecewise Time-Varying Systems

“…However, in applications, the parameters of the controller are often prone to slight perturbation or deviation due to their own or external factors, thereby deteriorating the control performance, or even destroying the system [25,26]. Therefore, non-fragile control has received increasing attention in engineering applications [26][27][28][29][30][31]. The data-driven non-fragile filtering problem of the cyberphysical system, and the non-fragile H ∞ multivariate PID controllers with derivative filters were reported in [27,28].…”

“…The data-driven non-fragile filtering problem of the cyberphysical system, and the non-fragile H ∞ multivariate PID controllers with derivative filters were reported in [27,28]. The finite-time non-fragile control scheme of linear uncertain positive systems was presented in [29]. In [30], for linear time-invariant systems, the multiplicative non-fragile controller was designed, of which controller parameters could be transformed into solving the symmetric positive definite solutions to algebraic Riccati inequalities.…”