In this paper we give a critical overview of recent development in MIMO control performance monitoring. We discuss a number of MIMO control benchmarks including minimum variance, LQG, and user selected benchmarks. Performance measures are extended from variance based measures in SISO control to covariance based measures in MIMO control. Pros and cons of various benchmarks are discussed. The dia...

We define a new notion of entropy for operators on Fock spaces and positive definite multi-Toeplitz kernels on free semigroups. This is studied in connection with factorization theorems for (multi-Toeplitz, multi-analytic, etc.) operators on Fock spaces. These results lead to entropy inequalities and entropy formulas for positive definite multi-Toeplitz kernels on free semigroups (resp. multi-T...

We study here a particular application of the theory of Hankel operators to robust control. The techniques of superoptimal Nehari extension developed by Young [16] are employed to derive some properties of a particular controller of a rational function G, called superoptimally robust stabilizing controller. Using this controller, we generalize to the multivariable case some results which appear...

Motion control and robust path tracking were the subject of this paper. A method based on fractional prefilter which is extended to multivariable systems is developed. This approach is based on the MIMO-QFT robust synthesis methodology combined with CRONE control. This paper incorporates Quantitative Feedback Theory (QFT) principles to CRONE control design procedure to solve the Two-Degree-Of-F...

Abstract: Generalized predictive control (GPC) is nowadays, widely ,spread in control theory as well as in the industrial world. Generalized predictive control (GPC) belong to this family has been demonstrated as a powerful controlling process plants, In this work a polynomial approach of generalized predictive control is proposed whose aim to find optimal values for the tuning control and appl...

In the design of feedback control systems for linear multivariable plants, insisting on the elimination of coupling in closed-loop is often achieved at the expense of an increase in the multiplicity of infinite and non-minimum phase zeros beyond those of the plant. This behaviour is known as the “cost of decoupling” since these additional zeros are manifested in the time domain by increased ris...

Recently Landau and Diffie gave in a series of articles in the Notices of the American Mathematical Society [DL02, Lan01, Lan00a, Lan00b] and in the American Mathematical Monthly [Lan04] excellent expositions on how the theory of multivariable polynomials are used in cryptography. However they covered only half of the story. They covered only the theory of polynomials in symmetric or secret cry...

A no®el geometric terrain methodology was recently presented for finding all physically rele®ant solutions and singular points to chemical process simulation problems based on intelligently mo®ing along special integral cur®es of the gradient ®ector field to guide both uphill and downhill mo®ement. The terrain methodology is extended here to include multi®ariable problems and integral cur®e bif...

In this paper we solve moment problems for Poisson transforms and, more generally, for completely positive linear maps on unital C∗-algebras generated by “universal” row contractions associated with F+n , the free semigroup with n generators. This class of C ∗-algebras includes the Cuntz-Toeplitz algebra C∗(S1, . . . , Sn) (resp. C ∗(B1, . . . , Bn)) generated by the creation operators on the f...