Series Info:IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 48
Type:Article
Keywords:Linear parameter-varying systems
,
Quadratic stability
,
Robust H? filtering
,
Computer simulation
,
Control system synthesis
,
Lyapunov methods
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Optimal control systems
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Optimization
,
Parameter estimation
,
Robustness (control systems)
,
State space methods
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System stability
,
Time varying control systems
,
Linear matrix inequalities
,
Linear parameter-varying system
,
Quadratic stability
,
Linear control systems
Abstract:
In this paper, we investigate the problem of H? filtering for a class of linear parameter-varying (LPV) systems in which the state-space matrices depend affinely on time-varying parameters. We employ the notion of affine quadratic stability using parameter-dependent Lyapunov functionals. We develop a linear parameter-dependent filter such that the estimation erorr is affinely quadratically stable with a prescribed performance measure. It is established that the solvability conditions can be expressed by linear matrix inequalities which are then evaluated at the extreme points of the admissible parameter set. Simulation results of a typical example are presented.
Mahmoud M.S.(Oxford Univ Press, Oxford, United Kingdom, 2001)
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