Operator-Based Nonlinear Feedback Control Design Using Robust Right Coprime Factorization

Abstract

Abstract-In this note, robust stabilization and tracking performance of operator based nonlinear feedback control systems are studied by using robust right coprime factorization. Specifically, a new condition of robust right coprime factorization of nonlinear systems with unknown bounded perturbations is derived. Using the new condition, a broader class of nonlinear plants can be controlled robustly. When the spaces of the nonlinear plant output and the reference input are different, a space change filter is designed, and in this case this note considers tracking controller design using the exponential iteration theorem.

A Miniature Pneumatic Bending Rubber Actuator Controlled by Using the PSO-SVR-Based Motion Estimation Method with the Generalized Gaussian Kernel

“…In this section, the modeling and designing of a nonlinear control system [9] for a micro-hand are shown.…”

Operator based Robust Nonlinear Control Design to an Ionic Polymer Metal Composite with Uncertainties and Input Constraints

“…Based on the concept of Lipschitz operator, an operator-based nonlinear feedback control system with uncertainty shown was considered in [5,6]. The nominal plant and uncertainty are P and ∆ P, respectively, and the real plantP = P + ∆ P. The right factorization of the nominal plant P and the real plantP are P = ND −1 , P + ∆ P = (N + ∆ N)D −1 , where N, ∆ N, and D are stable operators, D is invertible, ∆ N is unknown but the upper and lower bounds are known.…”

“…The feedback equationĜ =PC * (I −Ĝ), in which all operators map the Banach space Y B into itself, has a unique solution forĜ, which converges uniformly on [0, T ], provided that conditions 2) and 3) are satisfied. The plant output is bounded [6].…”

“…It is well known that right coprime factorization has been a promising approach for analysis, design, stabilization and control of nonlinear system [5]. Especially, robust right coprime factorization has attracted much attention due to its convenient in researching input-output stability problems of nonlinear system [6,7,8,9]. On the whole, this approach has been proved effective in theoretical studies and practical applications on nonlinear systems.…”

Robust temperature control of polymer electrolyte fuel cell reformer

“…However, the paper has problems not to consider uncertainties included in the plant. In this paper, uncertainties for the plant are considered and an operator-based robust nonlinear feedback control system using robust right coprime factorisation approach including a tracking controller is proposed (Deng et al, 2006(Deng et al, , 2011Deng and Bu, 2012;Chen and Han, 1998;de Figueiredo and Chen, 1993;Deng, 2014). Namely, the system in consideration of uncertainties included in the plant is performed two stages of control which the control object is stabilised firstly, and then the tracking controller is designed by the operator-based robust nonlinear feedback control theory.…”