Robust memoryless H/sup /spl infin// controller design for a class of time-varying uncertain linear time-delay systems

The stabilizing decentralized controller design problem for (possibly descriptor-type) linear time-invariant neutral time-delay systems is considered. A design approach, based on the continuous pole placement algorithm and the decentralized pole assignment algorithm, is proposed. A design example is also presented, to demonstrate the proposed approach.

Download Full-text

The revision and extension of the RMS ring for time delay systems

Bulletin of the Polish Academy of Sciences Technical Sciences ◽

10.1515/bpasts-2017-0038 ◽

2017 ◽

Vol 65 (3) ◽

pp. 341-349 ◽

Cited By ~ 2

Author(s):

L. Pekař ◽

R. Prokop

Keyword(s):

Time Delay ◽

Meromorphic Functions ◽

Controller Design ◽

Linear Time ◽

Control Design ◽

Design Tool ◽

Delay Systems ◽

Time Delay Systems ◽

Linear Time Invariant ◽

Original Definition

AbstractThis paper is aimed at reviewing the ring of retarded quasipolynomial meromorphic functions (RMS) that was recently introduced as a convenient control design tool for linear, time-invariant time delay systems (TDS). It has been found by the authors that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design without a thorough reformulation which i.a. extends the usability to neutral TDS and to those with distributed delays. This contribution summarizes the original definition of RMSsimply highlights its deficiencies via examples, and suggests a possible new extended definition. Hence, the new ring of quasipolynomial meromorphic functions RQMis established to avoid confusion. The paper also investigates and introduces selected algebraic properties supported by some illustrative examples and concisely outlines its use in controller design.

Download Full-text

Robust Controller Design for Descriptor-type Time-delay Systems

WSEAS TRANSACTIONS ON SYSTEMS ◽

10.37394/23202.2021.20.32 ◽

2021 ◽

Vol 20 ◽

pp. 289-294

Author(s):

Altug Iftar

Keyword(s):

Time Delay ◽

Controller Design ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems ◽

Robust Controller ◽

Frequency Dependent ◽

Stabilizing Controller ◽

Linear Time Invariant ◽

Time Invariant

Linear time-invariant descriptor-type time-delay systems are considered. A robust stabilizing controller design approach for such systems is introduced. Uncertainties both in the time-delays and in other system parameters are considered. A frequency-dependent scalar bound on such uncertainties is first derived. Once this bound is found, the controller design is completely based on the nominal model. However, satisfying a scalar frequency-dependent condition, which uses the derived bound, guarantees robust stability. An example is also presented to illustrate the proposed approach

Download Full-text

Two term controller design for multivariable linear time delay systems

2017 IEEE 16th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC) ◽

10.1109/icci-cc.2017.8109787 ◽

2017 ◽

Author(s):

Sonal Singh ◽

Shubhi Purwar

Keyword(s):

Time Delay ◽

Controller Design ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems

Download Full-text

Finite-Time Stabilization for Singular Linear Time-Delay Systems with Time-Varying Exogenous Disturbance

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.490-495.2459 ◽

2012 ◽

Vol 490-495 ◽

pp. 2459-2463 ◽

Cited By ~ 11

Author(s):

Min Su ◽

Shu Wei Wang ◽

Xian Zhang

Keyword(s):

Time Delay ◽

Finite Time ◽

Linear Time ◽

Delay Systems ◽

Linear Matrix ◽

Time Varying ◽

Time Delay Systems ◽

Exogenous Disturbance ◽

Exogenous Disturbances ◽

Finite Time Stabilization

In this paper finite-time stabilization for singular linear time-delay systems with time-varying exogenous disturbances is defined. By combining Lyapunov approach and matrix inequality technique, a sufficient condition of the finite-time stabilization for this kind of systems is presented by a set of feasible problems involving linear matrix inequalities (LMIs) with nonlinear constraints. In addition, the nonlinear feasible problems are solved by an so-called cone complementary linearization (CCL) algorithm. The effectiveness of the approach proposed in this paper is presented by a numerical example.

Download Full-text