Robust filtering for discrete time piecewise impulsive systems

Authors:
Shengtao Pan;Jitao Sun;Shouwei Zhao
Affiliations:
Department of Mathematics, Tongji University, Shanghai 200092, China;Department of Mathematics, Tongji University, Shanghai 200092, China;Department of Mathematics, Tongji University, Shanghai 200092, China
Venue:
Signal Processing
Year:
2010

Citing 21
Cited 2

Robust Filtering of Discrete-Time Linear Systems with Parameter Dependent Lyapunov Functions

SIAM Journal on Control and Optimization
Robust Kalman filtering for discrete-time Markovian jump systems with parameter uncertainty

Journal of Computational and Applied Mathematics
Filtering for a class of nonlinear discrete-time stochastic systems with state delays

Journal of Computational and Applied Mathematics
Optimal filtering and smoothing for discrete-time stochastic singular systems

Signal Processing
Filtering for uncertain 2-D discrete systems with state delays

Signal Processing
Brief paper: Stability of sampled-data piecewise-affine systems under state feedback

Automatica (Journal of IFAC)
Relatively Optimal Control: A Static Piecewise-Affine Solution

SIAM Journal on Control and Optimization
Brief paper: H∞ filtering for 2D Markovian jump systems

Automatica (Journal of IFAC)
Delay-dependent H∞ filtering of a class of switched discrete-time state delay systems

Signal Processing
Technical communique: Stabilization of discrete-time Markovian jump linear systems via time-delayed and impulsive controllers

Automatica (Journal of IFAC)
H∞ filtering for discrete-time systems with time-varying delay

Signal Processing
Brief paper: Parameter-dependent robust H∞ filtering for uncertain discrete-time systems

Automatica (Journal of IFAC)
Linear optimal filtering for discrete-time systems with random jump delays

Signal Processing
p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching

Automatica (Journal of IFAC)
Robust filtering design of piecewise discrete time linear systems

IEEE Transactions on Signal Processing
Nonsynchronized state estimation of discrete time piecewise linear systems

IEEE Transactions on Signal Processing
Brief Analysis of discrete-time piecewise affine and hybrid systems

Automatica (Journal of IFAC)
Stabilizing low complexity feedback control of constrained piecewise affine systems

Automatica (Journal of IFAC)
Dynamic programming for constrained optimal control of discrete-time linear hybrid systems

Automatica (Journal of IFAC)
Improved robust H2 and H∞ filtering for uncertain discrete-time systems

Automatica (Journal of IFAC)
Simultaneous state and input estimation of hybrid systems with unknown inputs

Automatica (Journal of IFAC)

Reliable H∞ filtering for discrete time-delay systems with randomly occurred nonlinearities via delay-partitioning method

Signal Processing
Finite-time filtering for discrete-time linear impulsive systems

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

This paper investigates the filtering problems for the discrete time piecewise impulsive system. First, the robust H"~ filtering problem and generalized H"2 filtering problem for the discrete time piecewise impulsive system are introduced. Then, linear matrix inequality (LMI) conditions are proposed for the design of H"~ and generalized H"2 filters such that the resulting discrete time piecewise impulsive filtering error system is globally stable with guaranteed H"~ or H"2 performance. Finally, a numerical simulation is also given to illustrate the effectiveness of the proposed approaches.