Ebook: Computer Controlled Systems: Analysis and Design with Process-orientated Models
- Tags: Control Robotics Mechatronics, Complexity
- Series: Communications and Control Engineering
- Year: 2000
- Publisher: Springer-Verlag London
- Edition: 1
- Language: English
- pdf
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).
Content:
Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Bilateral Laplace transforms....Pages 3-17
Operational transformations for discrete-time functions....Pages 19-27
Displaced pulse frequency response....Pages 29-49
Discrete Laplace transforms for functions of a continuous argument....Pages 51-68
Front Matter....Pages 69-69
Linear time-invariant operators and systems....Pages 71-85
Linear periodic operators and systems....Pages 87-107
Analysis of linear periodic operators and systems....Pages 109-124
Stochastic analysis and H2—norm of linear periodic operators....Pages 125-142
Front Matter....Pages 143-143
Open-loop SD systems....Pages 145-175
Open-loop systems with a computer....Pages 177-201
Closed-loop systems with a single sampling unit....Pages 203-228
Systems with several sampling units....Pages 229-254
Front Matter....Pages 255-255
Analysis of open-loop SD systems under deterministic disturbances....Pages 257-279
Analysis of feedback SD systems under deterministic disturbances....Pages 281-322
Analysis of SD systems under stochastic disturbances....Pages 323-342
Front Matter....Pages 343-343
Quadratic optimization of open-loop SD systems....Pages 345-370
Direct design of feedback SD systems....Pages 371-407
Polynomial methods for direct SD system design....Pages 409-434
Back Matter....Pages 435-486
Content:
Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Bilateral Laplace transforms....Pages 3-17
Operational transformations for discrete-time functions....Pages 19-27
Displaced pulse frequency response....Pages 29-49
Discrete Laplace transforms for functions of a continuous argument....Pages 51-68
Front Matter....Pages 69-69
Linear time-invariant operators and systems....Pages 71-85
Linear periodic operators and systems....Pages 87-107
Analysis of linear periodic operators and systems....Pages 109-124
Stochastic analysis and H2—norm of linear periodic operators....Pages 125-142
Front Matter....Pages 143-143
Open-loop SD systems....Pages 145-175
Open-loop systems with a computer....Pages 177-201
Closed-loop systems with a single sampling unit....Pages 203-228
Systems with several sampling units....Pages 229-254
Front Matter....Pages 255-255
Analysis of open-loop SD systems under deterministic disturbances....Pages 257-279
Analysis of feedback SD systems under deterministic disturbances....Pages 281-322
Analysis of SD systems under stochastic disturbances....Pages 323-342
Front Matter....Pages 343-343
Quadratic optimization of open-loop SD systems....Pages 345-370
Direct design of feedback SD systems....Pages 371-407
Polynomial methods for direct SD system design....Pages 409-434
Back Matter....Pages 435-486
....