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Titlebook: Linear Multivariable Control Engineering Using GNU Octave; Wolfgang Borutzky Textbook 2024 The Editor(s) (if applicable) and The Author(s)

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State Controllability,e representation can be transformed into Jordan canonical form. The state-space model of a controllable SISO can be transformed into the controller canonical form, from which a transfer function can be obtained directly by inspection..Non-controllable system modes can be found by means of the Hautus criterion.
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Textbook 2024 The book emphasizes ideas, an understanding of key concepts, methodologies, and results. In line with this, the book addresses master’s students in the overlap of engineering and computer science as well as engineers working in various application fields and interested in useful control techniques
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Multiple Input Multiple Output Systems,oop can guarantee stability of the MIMO system..SISO systems can be described by a transfer function, from which the input-output gain, poles and zeros can be easily obtained. In the case of MIMO systems, vectors of inputs and outputs are related by a transfer function matrix. In contrast to SISO sy
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Minimal State-Space Realisation of a Transfer Function Matrix,the transfer function poles; or in other words, the state-space representation is not both observable and controllable. One option is to transform the state-space model into Kalman decomposition form to find the minimal number of states that are controllable as well as observable. Another option is
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State Feedback,d into controllable form which also indicates whether the uncontrollable can be stabilised..In general, it is impractical or even impossible to measure all states so that missing components of the state vector must be reconstructed. The chapter presents the design of a full-order observer and the .
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Optimal Control, that minimises the . of the closed-loop transfer function matrix . from exogenous inputs . to the control outputs .. The .-norm . is a measure of the total energy corresponding to the impulse response. In contrast, . indicates the maximum gain, i.e. the worst case of the . transfer from . to ...Unl
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