This paper considers the problem of designing static-state feedback laws for output regulation of square affine nonlinear systems. The approach taken is to use input-output decoupling techniques to simplify the output regulation task into separate single-input single-output regulation tasks. In the case where the input-output decoupling matrix is full-rank, this approach yields the well-known i...

In this paper we show how some difficult linear algebra problems can be “approximately” solved using statistical learning methods. We illustrate our results by considering the state and output feedback, finite-time robust stabilization problems for linear systems subject to time-varying norm-bounded uncertainties and to unknown disturbances. In the state feedback case, we have obtained in an ea...

The Linearization of Nonlinear feedback shift registers (NFSRs) is to find their state transition matrices. In this paper, we investigate the linearization multi-valued NFSRs by considering it as a logical network via a semi-tensor product approach. A new state transition matrix is found for an multi-valued NFSR, which can be simply computed from the truth table of its feedback function, and th...

This paper considers the problem of robust eigenstructure assignment, which involves finding a feedback gain matrix that makes the closed-loop system insensitive to perturbations or parameter variations. The main contribution of the paper is to derive a new robustness measure using the matrix perturbation theory. The new measure is used to formulate a new method for robust control of the system...

Brushless Direct Current (BLDC) motors are widely used for high performance control applications. Conventional PID controller only provides satisfactory performance for set-point regulation. In this paper, a discrete time optimal tracking control of BLDC motor is presented. Modeling of the BLDC motor is expressed in state equation. A discrete time full-order state observer is designed to observ...

We consider the problem of state-feedback stabilization for multi-channel systems in the differential-game theoretic framework where the class of admissible strategies for the players is induced from a solution set of the individual objective functions that are associated with certain dissipativity inequality properties. In such a framework, we characterize the feedback Nash equilibria over an ...

results that include the well-known matrix equality condition [1] as a special case, still allowing arbitrary state weighting matrices. Theorem 6 and Corollary 4 are also new results that weaken the condition on the state weighting matrix. It is known that the terminal weighting matrices presented in this paper can be represented as LMI forms and computed by using existing semi-definite program...

This paper is concerned with H sampled-data control for uncertain fuzzy systems. A new approach to sampled-data control is introduced. The system is modelled as a continuous-time fuzzy system, while in practice, the control input has a piecewise-continuous delay. Sufficient conditions for the closed-loop system with a sampled-data state feedback controller to achieve a prescribed H disturbance ...

A closed-loop balanced truncation technique has been applied to an integral-type optimal servomechanism (IOS) expressed in graph-operator form of normalized right coprime factorization to produce a reduced-size state-feedback gain matrix, which is then converted into proportional-derivative (PD) gain matrices. On the other hand, the states of the integral of control error in the IOS are not tru...

Abstract—This paper deals with the global asymptotic stabilization problem for a class of bilinear systems. A state feedback controller solving this problem is obtained uniting a local controller, having an interesting behavior in a neighborhood of the origin, and a constant controller valid outside this neighborhood. The approach developed is based on the use of a hybrid loop, and more precise...