New L2-dynamic-range-scaling constraints for lowparametric sensitivity realizations
نویسنده
چکیده
This paper presents a new dynamic-range scaling for the implementation of filters/controllers in state-space form. Specific fixed-point considerations allow us to relax the classical L2-scaling constraints while still preserving the implementation from overflows. It gives more degrees of freedom for the optimal L2-parametric sensitivity problem. The underlying constrained problem is converted into an unconstrained problem for which a solution can be provided. This leads to realizations which are still scaled but less sensitive.
منابع مشابه
Low-Parametric-Sensitivity Realizations With Relaxed L2-Dynamic-Range-Scaling Constraints
—This paper presents a new dynamic-range scaling for the implementation of filters/controllers in state-space form. Relaxing the classical L2-scaling constraints by specific fixed-point considerations allows for a higher degree of freedom for the optimal L2-parametric sensitivity problem. However, overflows in the implementation are still prevented. The underlying constrained problem is convert...
متن کاملOn the limit cycles in the minimum L2-sensitivity realizations subject to L2-scaling constraints of second-order digital filters
This paper gives conjecture on the absence of limit cycles of the minimum L2-sensitivity realizations subject to L2scaling constraints for second-order digital filters. We design second-order digital filters with various pole-zero configurations, synthesize the minimum L2-sensitivity realizations subject to L2-scaling constraints, and examine if their coefficient matrices satisfy a sufficient c...
متن کاملComparison of Techniques for L2-sensitivity Minimization under L2-scaling Constraints in State-space Digital Filters
Several techniques which minimize an l2-sensitivity measure subject to l2-norm dynamic-range scaling constraints are compared for state-space digital filters. This comparison is performed by solving a numerical example from the viewpoint of the convergence rate and the attained minimum value of an l2-sensitivity measure.
متن کاملL2-Sensitivity Minimization of 2-D Separable-Denominator State-Space Digital Filters Subject to L2-Scaling Constraints
Abstract: The problem of minimizing an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints for two-dimensional (2-D) separable-denominator digital filters is formulated. The constrained optimization problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, an efficient quasi-Newton algorithm is applied with closed-form fo...
متن کاملOptimal Synthesis of a Class of 2-D Digital Filters with Minimum L2-Sensitivity and No Overflow Oscillations
The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009