Robust H ∞ filter design for 2D discrete systems in Roesser model

Abstract

This paper investigates the robust H∞ filtering problem for uncertain two-dimensional (2D) systems described by the Roesser model. The parameter uncertainties considered in this paper are assumed to be of polytopic type. A new structured polynomially parameter-dependent method is utilized, which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree, respectively. A numerical example illustrates the feasibility and advantage of the proposed filter design methods.

Improved H ∞ Filtering for Systems with a Time-Varying Delay

“…On the other hand, (10) and (11) imply that the following matrix inequalities (19) and (20) hold, which guaranteeV (t, ζ t ) < −ε ζ(t) 2 for a sufficiently small ε > 0 such that error system (6) with ω(t) = 0 is asymptotically stable,…”

“…In particular, when the noise sources are assumed to be arbitrary signals with bounded energy, the celebrated Kalman filtering scheme is no longer applicable. In such cases, the H ∞ filtering technique introduced in [2] provides a guaranteed noise attenuation level; see, e.g., [1,6,10,12,21,30] and the references therein.…”

Exponential stability analysis for 2D discrete switched systems with state delays

“…The studies of 2D systems are motivated by their wide range of applications in many areas, including multidimensional digital filtering, linear image processing, seismographic data processing, and process control . Correspondingly, divers issues on 2D systems, such as stability analysis, stabilization, and filter design, have been concerned, and a rich body of literature has appeared …”

“…[1][2][3] Correspondingly, divers issues on 2D systems, such as stability analysis, stabilization, and filter design, have been concerned, and a rich body of literature has appeared. [4][5][6][7][8][9] As is all known, time delays exist widely in many practical systems such as chemical systems, 10 communication networks, 11 and mechanical systems. 12 They may emerge due to finite speed of information processing and data transmission between divers parts of the system.…”

Kalman filtering with partial Markovian packet losses

“…In recent years, there has been an increasing research interest in filtering on distributed control system setting [1,2] . For example, the problem of state estimation and stabilization of a linear time invariant (LTI) system with a finite bandwidth digital communication channel was introduced by Wong and Brockett [3,4] and further pursued in [5][6][7].…”