A new approach for designing a reduced-order controller of linear singular systems

Saidahmed, Mohamed T. Faheem

doi:10.1109/9.52313

Cited by 13 publications

(14 citation statements)

References 5 publications

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“…It should also be mentioned that (15) reveals that system (4) is completely controlled during the period ≤ ≤ , with  > 0, by the dynamical equation (15) and this is in complete agreement with Walsh approximation method [9] and the timepartition method [l0]. Since system (13) possesses neither delay in the states nor in the control, then it will be considered in this paper as a non-delayed generalized state space system.…”

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 75%

“…Indeed , we could have been obtained (15) by inspection from (4) by knowing that − − for 0≤ ≤ . This strengths theorem (1) and supports the idea that (15) describes completely the behavior of the system for ≤ ≤ .…”

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 98%

“…Using the approach given in [12], a reduced order controller for systems of the form (13) can be designed. However, From the generalized theory of singular systems [15], it is well known that (13) is solvable iff ζ  − exits for some scalar ζϵ . where R is a field of real numbers.…”

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 99%

“…However, From the generalized theory of singular systems, it is well known [12] that (13) is solvable iff ζ  − exits for some scalar ζϵ . where R is a field of real numbers [15].…”

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 99%

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A novel approach for designing a feedback controller of linear time invariant networked control systems with delayed-transmission time

Zaini

2013

The International Conference on Information Networking 2013 (ICOIN)

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This paper investigates the problem of stabilization processes of networked control systems (NCSs) with delayed-transmission time. The investigation deals with control problem of linear time invariant (LTI) of NCSs when the plant and the controller belong to the same network. Long time delays due to the transmission element may degrade and destroy the stability of a networked control system. To overcome this problem new exact and novel approach is analytically obtained and the delay elements in system variables have been augmented and moved to the systems parameters. An output control feedback is introduced for designing a controller based on using the same conventional control technique in the literature. A design procedure for stabilizing the linearized model of NCSs involving a time delay based on the alternative generalized model is introduced. As a result, the effect of the delay factor is completely eliminated from the system's variables and moved to the systems parameters. The design procedure of the controller that moves the finite eigenvalues of the system to arbitrary locations simultaneously is carried out in a manner similar to those obtained for non-delayed conventional state space systems. The coefficients of the feedback control law can be easily evaluated which makes it possible to update the controller's parameters on-line with the change of the operating point. It is shown that the non-delayed ordinary state space systems appear as special cases of the present work when the delay elements vanish.To support and illustrate the effectiveness and usefulness of the work presented for the proposed technique an example based on the transformed model derived in this work is introduced.

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Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 75%

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 98%

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 99%

“…However, From the generalized theory of singular systems, it is well known [12] that (13) is solvable iff ζ  − exits for some scalar ζϵ . where R is a field of real numbers [15].…”

Section: Iii-a Unique and Exact Alternative Model Of System (4)mentioning

confidence: 99%

See 2 more Smart Citations

A novel approach for designing a feedback controller of linear time invariant networked control systems with delayed-transmission time

Zaini

2013

The International Conference on Information Networking 2013 (ICOIN)

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“…In the context of descriptor systems, the problem of designing observers has also received considerable attention. In [8,11] and [12] , the design of reduced-order observers for descriptor systems is considered by using the Drazin inverse, singular value decomposition and the generalized Sylvester equation, respectively. By using the generalized inverse, minimal order observers and unknown input observers for descriptor systems are developed in [9] and [16], respectively.…”

Section: Introductionmentioning

confidence: 99%

PD observer design for descriptor systems: An LMI approach

Ren

Zhang

2010

Int. J. Control Autom. Syst.

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This paper investigates the problem of proportional-derivative (PD) observer design for descriptor systems. A necessary and sufficient condition for the solvability of this problem is obtained in terms of a linear matrix inequality (LMI). The explicit expression of desired PD observer is also given, which involves solving an LMI. An illustrative example is provided to demonstrate the effectiveness of the proposed approach.

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An algorithm for obtaining the redundancy equations of LTI systems

Ragot

Maquin

1994

Automatica

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In the context of model-based failure detection and diagnosis, there is residual generation which can be obtained through a generalized parity space concept. This paper presents a new algorithm involving the generation of redundancy or parity equations for dynamic linear time-invariant systems. The proposed scheme involves the successive elimination of state sub-vectors and their replacement by output values as well as the processing of an output done one at a time to avoid matrix inversion. Some examples point out the numerical efficiency of the proposed procedure.

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A new approach for designing a reduced-order controller of linear singular systems

Cited by 13 publications

References 5 publications

A novel approach for designing a feedback controller of linear time invariant networked control systems with delayed-transmission time

A novel approach for designing a feedback controller of linear time invariant networked control systems with delayed-transmission time

PD observer design for descriptor systems: An LMI approach

An algorithm for obtaining the redundancy equations of LTI systems

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