Gain‐scheduled H_∞ filtering of parameter‐varying systems

Abstract

SUMMARYThis paper deals with the gain-scheduled H 1 filtering problem for a class of parameter-varying systems. A sufficient condition for the existence of a gain-scheduled filter, which guarantees the asymptotic stability with an H 1 noise attenuation level bound for the filtering error system, is given in terms of a finite number of linear matrix inequalities (LMIs). The filter is designed to be parameter-varying and have a nonlinear fractional transformation structure. A numerical example is presented to demonstrate the application of the proposed method.

Robust L2 - L∞ Filtering for Uncertain Nonlinearly Parameterized Stochastic Systems with Time-Varying Delays

“…This method may produce conservatism to some extent, but it could lead to an effective design of filters in a general NFT form (i.e., no restrictions on f (σ )). If one restricts the parameter f (σ ) to be prescribed, another result on the filter analysis and design can be obtained by using a similar approach to that in [31].…”

“…In addition, special attention has been focused on the problem of parameter-dependent filtering of uncertain systems. For example, the linear matrix inequality (LMI) approach was developed for the design of parameterdependent H ∞ filters in [31]; while in [7], [13] parameter-dependent H 2 /H ∞ filtering for discrete-time systems was studied. It is noted that in [7] attention was focused not only on the design of parameter-dependent filters but also on the use of PDLFs.…”

$\mathcal{H}_{2}$ state-feedback control for LPV systems with input saturation and matched disturbance

“…In [4], a gain-scheduled output feedback controller was designed to stabilize an LPV system. Gain-scheduled H 2 and H ∞ controls were proposed in [5][6][7][8][9]. In [12], the use of a gain-scheduling method for handling actuator saturation was proposed.…”

“…Gain-scheduling approaches for a linear parametervarying (LPV) system have been widely studied over the past several years [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. For instance, gainscheduling approaches have been reviewed in [1].…”

An Improved Set Invariance Analysis and Gain-Scheduled Control of LPV Systems Subject to Actuator Saturation

“…For the direct design of a nonlinear controller based on a family of local linear controllers, the gain-scheduled approach shares the use of linear parametervarying (LPV) systems representation, which is commonly referred to as an LPV gain-scheduled approach ( [1], [13], [15]- [18]). The basic idea is to design at one or more operating points linear time-invariant controllers using the associated linearized plant models.…”