Multivariable Computer-controlled Systems

Lampe, Bernhard P.; Rosenwasser, Efim N.

doi:10.1007/1-84628-432-5

Cited by 50 publications

(41 citation statements)

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“…Proof: Statements (1)-(3) follow from Lampe and Rosenwasser (2003b) and Rosenwasser and Lampe (2006). Now we will prove statement (4).…”

Section: Discussionmentioning

confidence: 66%

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ℋ₂-optimisation of MIMO sampled-data systems with pure time-delays

Lampe

Rosenwasser²

2009

International Journal of Control

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This article considers the digital control of a MIMO continuous-time process, when we have time-delays at different locations in the control loop. The controller has to be causal (realisable) and stabilising. Under these restrictions, we search for the controller ensuring the minimal H 2 -norm of the closed loop. Using the parametric transfer function concept, a constructive method for the solution of this problem is provided. On the basis of these results, a number of characteristic properties of the closed H 2 -optimal system are formulated, which are important for practical applications.

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“…Proof: Statements (1)-(3) follow from Lampe and Rosenwasser (2003b) and Rosenwasser and Lampe (2006). Now we will prove statement (4).…”

Section: Discussionmentioning

confidence: 66%

“…Methods for constructing the pairs ( l0 (), l0 ()) and ( r0 (), r0 ()) can be found in Rosenwasser and Lampe (2006). 5.…”

Section: International Journal Of Control 1903mentioning

confidence: 99%

ℋ₂-optimisation of MIMO sampled-data systems with pure time-delays

Lampe

Rosenwasser²

2009

International Journal of Control

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“…In order to construct the periodic solution ξ T (t) of (8) as T → ∞, we shall use the integral equations method [18,19]. To this end, we denote the differential operator d/dt by s and rewrite a linear differential equation as an algebraic equation depending on the parameter s. As a result, we obtain the solution in the symbolic form…”

Section: The Construction Of the Periodic Solution For The Rocking Osmentioning

confidence: 99%

“…As shown in [16], the conservative system (7) exhibits antisymmetric T -periodic motion with the T /2-intervals between impacts. Let Φ(t) be an antisymmetric T -periodic function such that Φ(t + T /2) = −Φ(t); then a corresponding T -periodic antisymmetric response X T (t) of (9) is calculated as [18,19] …”

Section: The Construction Of the Periodic Solution For The Rocking Osmentioning

confidence: 99%

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Stability and control of random rocking motion of a multidimensional structure: the Melnikov approach

Kovaleva

2009

Nonlinear Dyn

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This paper investigates the controlled dynamics of a structure consisting of a free standing rigid block with an attached chain of uniaxially moving point masses. Rocking motion is excited by motion of the ground; instability is associated with overturning of the structure as a whole. The control task is to minimize the probability of overturning. The stochastic Melnikov method is used to obtain a necessary condition of instability, estimate an upper bound to the probability of overturning, and find a convenient control strategy. The paper is restricted to the consideration of seismic vulnerability of the structure. A similar approach can be applied to systems with wind or wave excitations.

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