detected in systems software infinity (∞ h)

H infinity Analysis Revisited

—This paper proposes a direct, and simple approach to the H∞ norm calculation in more general settings. In contrast to the method based on the Kalman–Yakubovich–Popov lemma, our approach does not require a controllability assumption, and returns a sinusoidal input that achieves the H∞ norm of the system including its frequency. In addition, using a semidefinite programming duality, we present a...

Mixed Lqr/h-infinity Controller Design for Uncertain Multivariable Systems

طلتخملا رطيسملل ميمصت مدقي ثحبلا اذه نا LQR/H-infinity .ةدكؤملا ريغو تاريغتملا ةددعتم ةمظنلأل مت ةفلك ةلاد ىلع ادامتعا ةعجارلا ةيذغتلا ةلاح تباوثل ىلثملا ميقلا داجيا ضرغل يئيزجلا دشحلا ةيلثما ةقيرط مادختسا تاددحم نيب طيلخ نع ةرابع يه ةحرتقملا ةفلكلا ةلاد نا.ةحرتقم LQR و H-infinity حرتقملا رطيسملا نا. ريغتملا ةددعتم ةمظنلأا ضوعي نا ةياع ةءافكبو عيطتسي رطيسملا ةوق تابثا ضرغل .ةيدكؤملا مدع دوجوب ...

H-infinity control problem for general discrete-time systems

— This paper considers the H∞ control problem for a general discrete–time system, possibly improper or polynomial. The parametrization of suboptimal H∞ output feedback controllers is presented in a realization–based setting, and it is given in terms of two descriptor Riccati equations. Moreover, the solution features the same elegant simplicity of the proper case. An interesting numerical examp...

Robust H-infinity reduced order filtering for uncertain bilinear systems

This paper investigates both the H∞ and robust H∞ reduced order unbiased filtering problems for respectively a nominal bilinear system and a bilinear system affected by norm-bounded structured uncertainties in all the system matrices. First, an algebraic framework is used to solve the unbiasedness condition and second, a change of variable is introduced on the inputs of the system to reduce the...

Takagi-Sugeno Fuzzy Systems Non-fragile H-infinity Filtering

Computation of H-infinity norms for time-delay systems

We consider the characterization and computation of H-infinity norms for a class of time-delay systems. It is well known that in the finite dimensional case the H-infinity norm of a transfer function can be computed using the connections between the corresponding singular value curves and the imaginary axis eigenvalues of a Hamil-tonian matrix, leading to the established level set methods. We s...