*Correspondence: [email protected] 1School of Science, Nanjing University of Science and Technology, 210094 Nanjing, China Full list of author information is available at the end of the article Abstract Based on the concept of uncertain process, uncertain linear systems with multiple input delays are considered in this paper. An optimal problem for such systems is introduced and solved by usin...

A quadratic cheap control of linear systems with multiple state delays is considered. This optimal control problem is transformed to an optimal control problem of singularly perturbed systems. A composite suboptimal control of the latter is designed based on its asymptotic decomposition into two much simpler parameter-free subproblems, the slow and fast ones. Using this composite control, a sub...

Abstract--This paper proposes an optlmlzatmn-based approach to the robust 7-to~ control problem of uncertain contmuous or dmcrete-tlme linear tzme-mvariant systems with different tzme-varying delays m the state vector and control input of the dynamic equation and controlled output Sufficient delay-dependent conditions are derived for the control stabflmatmn problem, where both the sine of the t...

The operation of wind energy conversion systems mainly deals with variable and unpredictable wind regimes resulting in variable power efficiency. In addition, nowadays with the presence of high penetration level of wind farms integrated to power systems, stability and power quality problems might be addressed, when a disturbance event occurs. These challenges are worsened with significant degre...

In this paper we present a new approach for linear Volterra integral equations that is based on optimal control theory. Some optimal control problems corresponding Volterra integral equation be introduced which we solve these problems by discretization methods and linear programming approaches. Finally, some examples are given to show the efficiency of approach. Index Terms —Volterra integral e...

One of the classical problems of nonlinear systems and control theory is feedback linearization. Its obvious motivation is that one can utilize linear control theory if the nonlinear system at hand is linearizable by feedback. This problem is well-understood for the smooth nonlinear systems. In the present paper, we investigate feedback linearizability of a class of piecewise linear, and hence ...

This paper presents a review of recent studies of the human controller both in psychology and in control engineering. Theoretical and technological problems in the study of skilled behaviour are first discussed, and the desirable constraints upon any “model” are outlined. The foundations of linear continuous modelling of the human controller and experimental data on the validity and utility of ...

This note addresses a robust control problem of continuous-time jump linear systems subject to norm-bounded parametric uncertainties. It is shown that this problem is equivalent to an H 1 control problem as in the purely deterministic case, and it contains the recent result in 1] as a particular case. State feedback H 1 controllers are parameterized by means of linear matrix inequalities.

The synthesis problem for optimal control systems in the class of discrete controls is under consideration. The problem is investigated by reducing to a linear programming (LP) problem with consequent use of a dynamic version of the adaptive method of LP. Both perfect and imperfect information on behavior of control system cases are studied. Algorithms for the optimal controller, optimal estima...