In particular, these three new methods do not introduce any other auxiliary constraints as many existing results do where a matrix equality constraint between system matrix and Lyapunov matrix is often inserted.
Based on a new characterization, a strict LMI condition for L2 L∞ filter design is obtained, which does not involve any iterations for design parameter search, any couplings between the system matrices and the Lyapunov function matrix, nor any system-dependent filter parametrization.
In sufficient conditions, we introduce some additional scalar matrix variables to realize the decoupling between the filtering error system matrices and Lyapunov matrices.
The analysis of relation between the quantization density and the system matrices and the statistical properties of noises in the proposed quantization-dependent framework is a subject worth further researching.
In particular, it is shown that the new method can give less or at least the same conservative results than those methods by inserting a matrix equality constraint between system output matrix and Lyapunov matrix.
By decoupling product terms between the Lyapunov matrix and system matrices, an improved version of the proposed L∞-induced norm bound Lemma for continuous-time stochastic systems is obtained, which allows us to realize exploit parameter-dependent stability idea in the deconvolution filter design.
Sufficient conditions are first established via introducing some slack matrices to facilitate the FDF design procedure by eliminating the coupling between the Lyapunov matrices and the system matrices.
The coupling between the Lyapunov variables and system matrices makes the problem of mixed H2/H∞ flight tracking controller design non-convex.
This new characterization exhibits a kind of decoupling between the Lyapunov matrix and the system matrices, which is subsequently exploited for control design.
Since the conditions obtained are not represented by LMI form, decoupling between the Lyapunov function and the system matrices is generated using the proposed slack matrix variable, and a new condition is obtained.
