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The design of a parameter dependent H∞ controller for a parameter dependent plant is considered.
The new algorithm is based on interpolating at the zeroes of a parameter dependent, nonperiodic trigonometric function.
The following lemma presents a general result on the differentiability with respect to parameter of the fixed point of a parameter dependent operator.
The theoretical conditions providing stability and energy-peak bound on the regulated output of the system despite the presence of uncertainties associated with the nonlinear functions are obtained by means of a parameter dependent Lyapunov function.
The proposed LMI stability and stabilization results are based on the use of a parameter dependent Lyapunov function and on the λ-contractivity of the associated level set to guarantee the local stability and some time performance.
Similar(55)
The maximal convergence control is shown to be of bang bang type, with a parameter dependent switching scheme.
The proposed procedure is simple: A given Lévy model usually uses a parameter dependent class of Lévy processes.
A gain-scheduling MPC algorithm is also proposed for the design of a parameter-dependent controller.
The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the saturation bounds.
Since we will consider the problem with spectral parameter, we need the concept of the uniform R-boudedness of a parameter-dependent family of operators.
In such situation, problem dimension reduces substantially, and the algorithm requires solution of a parameter-dependent family of systems of equations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com