Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) 1998
DOI: 10.1109/acc.1998.703585
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An H/sub /spl infin//-optimal alternative to the FxLMS algorithm

Abstract: We study a general setting of active noise cancellation problems from the H , point of view and present a solution that optimally limits the worst case energy gain from the interfering measurement errors, external disturbances, and initial condition uncertainty to the residual noise. The optimal bounding of this energy gain is the main characteristic of the proposed solution. To impose a finite impulse response (FIR) structure on the controller, we suggest an adaptation scheme for the weight vector of an FIR f… Show more

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Cited by 12 publications
(14 citation statements)
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“…Subspace predictors have also been used for direct control with quadratic (Favoreel et al (1998(Favoreel et al ( , 1999b) and cost functions (Woodley et al (2001b);Woodley (2001); Woodley et al (2001a)). Other implementations include adaptive inverse control (Widrow & Walach (1994)), LMS 1 (Widrow & Stearns (1985)), FxLMS 2 and its alternatives (Sayyar-Rodsari et al (1998)), identification and control based on the ( ) loop shaping (Date & Lanzon (2004)), and Lyapunov-based framework (Haddad et al (2003); Hayakawa et al (2004)). …”
Section: General Predictive Controlmentioning
confidence: 99%
“…Subspace predictors have also been used for direct control with quadratic (Favoreel et al (1998(Favoreel et al ( , 1999b) and cost functions (Woodley et al (2001b);Woodley (2001); Woodley et al (2001a)). Other implementations include adaptive inverse control (Widrow & Walach (1994)), LMS 1 (Widrow & Stearns (1985)), FxLMS 2 and its alternatives (Sayyar-Rodsari et al (1998)), identification and control based on the ( ) loop shaping (Date & Lanzon (2004)), and Lyapunov-based framework (Haddad et al (2003); Hayakawa et al (2004)). …”
Section: General Predictive Controlmentioning
confidence: 99%
“…Combining the constraint of Eq. (3.5) and the objective function, we can derive the parameter update law as (Sayyarrodsari et al, 1998)…”
Section: )) a Sufficient Condition To Guarantee It Ismentioning
confidence: 99%
“…The technique of H ∞ suboptimal causal filtering (Sayyarrodsari et al, 1998) can be applied to the formulation above. We wish to find an optimal estimator such that, …”
Section: Constrained Adaptive Control Algorithmmentioning
confidence: 99%
“…Thus systematic approaches for the design and analysis of the adaptive filters for realistic control scenarios have been of primary interest to researchers in the field. In [3], an estimation-based approach to the design of adaptive FIR filters is proposed. Reference [3] uses an adaptive ANC scenario to explain how an estimation interpretation of the adaptive control problem provides a framework for the systematic synthesis and analysis of adaptive FIR filters.…”
Section: Introductionmentioning
confidence: 99%
“…In [3], an estimation-based approach to the design of adaptive FIR filters is proposed. Reference [3] uses an adaptive ANC scenario to explain how an estimation interpretation of the adaptive control problem provides a framework for the systematic synthesis and analysis of adaptive FIR filters. This paper extends the results in [3] to the design of adaptive Infinite Impulse Response (IIR) filters.…”
Section: Introductionmentioning
confidence: 99%