Editorial: Linear Parameter Varying Systems Modeling, Identification and Control

Abstract

This Research Topic comprises five articles submitted and selected within “Linear Parameter Varying Systems Modelling, Identification and Control.” Linear parameter varying (LPV) systems are linear systems whose parameters are functions of a scheduling signal. The scheduling signal may be external or internal. LPV systems with internal scheduling signals are known as quasi-LPV systems. The LPV concept is derived from the gain scheduling approach to control nonlinear systems. Presently, it is widely used to design control systems for nonlinear systems. Its main advantage is to allow the use of well-known linear control design techniques. Nevertheless, the control design is based on LPVmodels. LPVmodeling may be done by analytical methods, based on the availability of reliable nonlinear equations for the dynamics of the plant, or by experimental methods, entirely based on identification. Thus, LPV system identification emerged with the LPV paradigm. Many real systems in areas such as aeronautics, space, automotive, mechanics, mechatronics, robotics, bioengineering, process control, semiconductor manufacturing, and computing systems, to name a few, can be reasonably described by LPVmodels. However, despite the theoretical results with great potential produced by intense research activity in recent years, there are still few applications in the real world. The research on LPV systems covers applications to mechatronics, automotive, aerospace, robotics, advanced manufacturing, chemical processes, biological systems, (renewable) energy systems, and network systems, among others, some discussed in this Research Topic. Both control and estimation problems are addressed. The article An Improved Integral Inequality for Delay-Dependent Gain-Scheduled LPV Control by Tasoujian et al. focused on the design of gain-scheduling controllers for linear parameter varying (LPV) time-delay systems where the delays are also parameter dependent. A Lyapunov–Krasovskii functional (LKF) approach is used to derive delay-dependent LPV control synthesis conditions for LPV systems with arbitrarily varying parameter-dependent time delays. This approach uses intermediary values of delay instead of assuming the worst-case delay value. Hence, fewer conservative conditions were assumed to synthesize delay-dependent dynamic output-feedback controllers for LPV time-delay systems with large and fast-varying time delays. The proposed control guarantees closed-loop stability and induced L2-norm performance measure. The reduced conservatism and improved performance of the proposed approach have been assessed and compared with prior results in the literature through a numerical example and were successfully implemented in a real-world application, consisting of an automated mean arterial blood pressure Edited and reviewed by: Antonio Visioli, University of Brescia, Italy