This paper applies the block control method to design a decomposed finite spectrum assignment control law suitable for multivariable linear time-delay systems. A block controllable form is introduced and a non-singular transformation that reduces the system to this form is proposed. Conditions of stability of the closed-loop system are derived. Copyright © 2002 IFAC

The purpose of this paper is to present the solution of time-optimal problem of the controlled object u x f y y x + = = ) ( , ! ! , u ≤ 1 and motion resistance function f x x f x A x ( ) , ( ) = ≤ = − > 0 0 0 if if where 0 1 ≤ < A . In the formula of f x ( ) there exists a value A= b A = 2 2 − that plays an essential role. Namely, if A≤ b A then the time-optimal control process is typical. For ...

We give a singular control approach to the problem of minimizing an energy functional for measures with given total mass on a compact real interval, when energy is defined in terms of a completely monotone kernel. This problem occurs both in potential theory and when looking for optimal financial order execution strategies under transient price impact. In our setup, measures or order execution ...

This note proposes a multirate sampleddata system to model the discrete schedule feature of the networked singular control systems. Sampleddata system with time-delay in its discrete-time subsystem shows some nice features to admit many network-induced topics, for example, time-delay, packet dropout. Beside of the networked control systems with different combinations of the time-driven or event...

Article history: Received 21 December 2009 Received in revised form 27 January 2011 Accepted 2 February 2011 Available online 13 February 2011

This paper presents the control of non-regular or singular nonlinear systems applying non-linear predictive controllers. The systems treated here have the relative degree not well defined thus feedback linearization is not applicable due to singularities in the input-output linearizing control law. An alternative controller capable of dealing with non-regular systems is the NCGPC (Nonlinear Con...

In this paper, optimal control for linear singular fuzzy system is obtained using Simulink. To obtain the optimal control, the solution of MRDE is computed using Simulink approach. The Simulink solution is equivalent or very close to the exact solution of the problem. An illustrative numerical example is presented for the proposed method.

The Benchmark of the European group COST 624 aims to compare control strategies of activated sludge processes in Wastewater Treatment Plants. In this paper, the design of the control strategy has been oriented so as to improve the effluent quality. An accurate reduced model of the ASM1 model has been established using singular perturbations techniques. This model has been used in a sensitivity ...

There are many works devoted to the study of optimal control problems for systems with the state equation which is not solvable with respect to the derivative (Lewis, 1986; Mehrmann, 1991; Kurina, 1992). In the scientific literature, such systems are called descriptor, singular, implicit or differential-algebraic systems. Causality plays an important role in studying optimal control problems fo...

We apply the techniques of control theory and of sub-Riemannian geometry to laser-induced population transfer in twoand three-level quantum systems. The aim is to induce complete population transfer by one or two laser pulses minimizing the pulse fluences. Sub-Riemannian geometry and singular-Riemannian geometry provide a natural framework for this minimization, where the optimal control is exp...