On Standard H∞ Control Problems for Systems with Infinitely many Unstable Poles
نویسندگان
چکیده
In this paper, H∞ control for a class of linear time invariant systems with infinitely many unstable poles is considered. An example of such a plant is a high gain system with delayed feedback. We formulate the problem via a generalized plant which consists of a rational transfer matrix and the inverse of a scalar (possibly irrational) inner function. It is shown that the problem can be separated into a finite-dimensional H∞ control problem and additional rank conditions.
منابع مشابه
Title Stable H ∞ Controller Design for Infinite - Dimensional Systemsvia Interpolation
H∞ control is well appreciated as a powerful design methodology against system uncertainty. It has been playing an important role in the field of robust control. For infinite-dimensional systems such as time-delay systems, H∞ control problems have been under extensive study since the mid-1980s. On the other hand, stable controller design known as strong stabilization is also an important issue ...
متن کاملStable controllers for robust stabilization of systems with infinitely many unstable poles
This paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation-minimization by a unit element. Next, by the modifi...
متن کاملInvestigation and Control of Unstable Chaotic Behavior Using of Chaos Theory in Two Electrical Power Systems: 1-Buck Converter2- Power Transformer
This paper consist of two sections: control and stabilizing approach for chaotic behaviour of converter is introduced in first section of this paper for the removal of harmonic caused by the chaotic behaviour in current converter. For this work, a Time- Delayed Feedback Controller (TDFC) control method for stability chaotic behaviour of buck converter for switching courses in current control mo...
متن کاملDelayed feedback of sampled higher derivatives.
Systems where the present rate of change of the state depends on the past values of the higher rates of change of the state are described by so-called advanced functional differential equations (AFDEs). In an AFDE, the highest derivative of the state-space coordinate appears with delayed argument only. The corresponding linearized equations are always unstable with infinitely many unstable pole...
متن کاملExistence results of infinitely many solutions for a class of p(x)-biharmonic problems
The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out.
متن کامل