Tracking of continuous LPV systems using dynamic inversion

Abstract

This paper investigates the problem of output tracking by dynamic system inversion for linear parameter varying (LPV) systems, where the system matrix depends affinely from the parameters. The proposed method does not suppose that the full state vector is measured and it is based on a dynamic inversion approach with error feedback. A dynamic inversion based solution applying an observer instead of the inverse dynamics is also given.

Linear Parameter Varying Systems: A Geometric Theory and Applications

“…and Λ is a gain matrix playing similar role in the stability of the error system like in the LTI case. The details of obtaining the error systems can be found in Balas et al (2004).…”

Active Suspension in Integrated Vehicle Control

“…Having measured the signals y 1 =ẋ 3 , y 2 =ẋ 4 and y 3 = x 2 − x 1 an inversion based detection filter is proposed, Balas et al (2004); Szabó et al (2003). In the construction of the filter the first step is to express F from (48) and in these expression we plug in the known values y i :…”

A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

“…Although this simplified representation of systems is very useful and practical, but the parameters of an LPV system are generally uncertain and unavailable for measurements. For the case of continuous-time LPV systems, see for instance, Apkarian and Adams (1998), Kose and Jabbari (1999), Balas et al (2004), Scorletti and El Ghaoui (1995), Wu (2001), Gilbert et al (2010), Sato (2011), Song and Yang (2011). Also, for the discretetime dynamic output feedback controller LPV systems, see for instance, Blanchini and Miani (2003), De Caigny et al (2012), Zhang et al (2009), Emedi andKarimi (2014), De Oliveira et al (1999), Oliveira and Peres (2005)).…”