Computer Controlled Systems

1. Front Matter

   Pages i-xviii

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2. Operational transformations of functions of continuous and discrete arguments

   1. Front Matter

      Pages 1-1

      PDF

   2. Bilateral Laplace transforms

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 3-17

   3. Operational transformations for discrete-time functions

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 19-27

   4. Displaced pulse frequency response

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 29-49

   5. Discrete Laplace transforms for functions of a continuous argument

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 51-68

3. Linear periodic operators and systems

   1. Front Matter

      Pages 69-69

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   2. Linear time-invariant operators and systems

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 71-85

   3. Linear periodic operators and systems

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 87-107

   4. Analysis of linear periodic operators and systems

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 109-124

   5. Stochastic analysis and H2—norm of linear periodic operators

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 125-142

4. Mathematical description of sampled-data systems in continuous time

   1. Front Matter

      Pages 143-143

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   2. Open-loop SD systems

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 145-175

   3. Open-loop systems with a computer

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 177-201

   4. Closed-loop systems with a single sampling unit

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 203-228

   5. Systems with several sampling units

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 229-254

5. Analysis of SD systems in continuous time

   1. Front Matter

      Pages 255-255

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   2. Analysis of open-loop SD systems under deterministic disturbances

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 257-279

   3. Analysis of feedback SD systems under deterministic disturbances

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 281-322

   4. Analysis of SD systems under stochastic disturbances

      • Efim N. Rossenwasser, Bernhard P. Lampe

      Pages 323-342

Digital elements such as signal processors, microcontrollers or industrial PCs are widely used for filtering and control of continuous-time processes or plants. Because of the serial operation mode of these digital elements the continuous­ time processes cannot be served continuously. That is why continuous-time and discrete-time signals occur simultaneously in systems of this kind. The continuous (real) time also contains the discrete time instants - therefore, a complete and accurate description of such systems in continuous time is pos­ sible. However, this description proves to be more complicated, because the hybrid system becomes time-variable, also in cases, where all continuous-time processes and all digital elements are time invariant. Often digital elements operate with a fixed time period T, that leads to a periodically time-variable system. Besides the time sampling the use of analogue to digital and digital to analogue converters together with the finite numerical precision of the processors also results in amplitude quantization of the measuring and control signals. Taking into account these effects would lead to nonlinear models. Because these effects are often of minor influence but difficult in handling, in theory and practice it is generally accepted to consider mainly the pure time-quantization effect. Systems containing both continuous-time and discrete-time signals are usually called sampled-data systems (SD systems).

• Digital control and filtering
• Frequency domain methods
• MATLAB
• Optimal control and filtering
• Parametric transfer function
• Sampled-data systems
• algorithms
• optimization
• complexity

“This volume will be a useful source on sampled-data systems for engineers, students and control scientists.” (A.Akutowicz, zbMATH 0946.93003, 2022)

• Department of Automatic Control, St Petersburg State Marine Technical University, St Petersburg, Russia

  Efim N. Rossenwasser

• Institute of Automation, University of Rostock, Rostock, Germany

  Bernhard P. Lampe

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