Robust Fixed-order Discrete-time LPV Controller Design

Fixed-Order Linear Parameter-Varying Feedback Control of a Lab-Scale Overhead Crane

“…Similarly, X j (α) = 0 for j = 1, 2 and X 3 (α) = Y (α) are selected in the analysis condition (11) to arrive at (17). Using (9) and imposing the specific structure (13) on Y (α), these particular choices allow the reconstruction of a fixed-order LPV controller through the nonlinear transformation (16).…”

“…At the same time, sequential convex programming methods, see [13]- [15], can cope with LPV dynamics, but are computationally demanding. Alternatively, the convex approach [16] relies on the design of numerous random initial controllers, which are subsequently used for the design of a single LPV controller, resulting in a numerically costly procedure. Moreover, the latter approach does not allow all system matrices to be parameter-dependent.…”

Reduced-order &#x210B;<inf>2</inf>/&#x210B;<inf>&#x221E;</inf> control of discrete-time LPV systems with experimental validation on an overhead crane test setup

“…For instance, assuming a polynomial parameterization generally leads to a reduced-order controller with a rational parameter dependency, as implied by (11), while a polynomially parameter dependent controller results when Y (α) is taken constant. In addition, note that selectingΘ(α) constant corresponds to the synthesis of a robust LTI controller.…”

“…For instance, the approaches presented in [7], [8] solely provide conditions for controller orders larger or equal to the plant order minus the number of exactly measured states, while the algorithms for fixed-order synthesis presented in [9], [10], which are very successful for LTI systems, cannot handle LPV dynamics. At the same time, the approach [11] relies on the design of numerous random initial controllers, which are subsequently used for the design of a single LPV controller. This results in a numerically costly procedure for the computation of a suitable LPV controller.…”

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

“…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)). Hence, the investigation of LPV systems with inexact but bounded parameters attracts the attention of many researchers in this field Wu et al (1997), Kalsi et al (2010).…”