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  • Time delay systems description as well as controller design is based on the utilization of the extended and revised ring of stable proper quasipolynomial meromorphic functions. The solution of a Diophantine equation. The approach enables to satisfy inner feedback system stability, asymptotic reference tracking and input disturbance attenuation. A benefit of the methodology is that one can acquire a finite spectrum of some feedback transfer functions using a non-trivial control system. Contrariwise, a sufficiently accurate model of the controlled process is needed. Proven stability conditions for some quasipolynomials (since it is crucial for the correct controller design) and a generalized Nyquist criterion for time delay systems and a special control system structure are derived as well. The book then comprises design of selected controller tuning approaches for the obtained anisochronic controllers. Namely, a continuous feedback system spectrum shifting, a quasioptimal dominant pole placement and a pole placement when a desired transfer function overshoot is prescribed. Some original ideas are involved in the methods. Analytically derived formulas for the identification of unknown model parameters from feedback-relay experiment with saturation relay in order to find a sufficiently accurate process model are presented as well. For real-world applications with digital computers, control algorithms ought to be discretized and simplified; hence, some approaches are briefly described and implemented. A numerous examples together with MATLAB/Simulink results clarify theoretic statements throughout the text. Selected complex examples involve. Last but not least, results of identification and control of a laboratory heating plant with significant delays, with a basic robust stability and robust performance analysis, are presented as well, which clearly affirms the practical applicability of the approach.
  • Time delay systems description as well as controller design is based on the utilization of the extended and revised ring of stable proper quasipolynomial meromorphic functions. The solution of a Diophantine equation. The approach enables to satisfy inner feedback system stability, asymptotic reference tracking and input disturbance attenuation. A benefit of the methodology is that one can acquire a finite spectrum of some feedback transfer functions using a non-trivial control system. Contrariwise, a sufficiently accurate model of the controlled process is needed. Proven stability conditions for some quasipolynomials (since it is crucial for the correct controller design) and a generalized Nyquist criterion for time delay systems and a special control system structure are derived as well. The book then comprises design of selected controller tuning approaches for the obtained anisochronic controllers. Namely, a continuous feedback system spectrum shifting, a quasioptimal dominant pole placement and a pole placement when a desired transfer function overshoot is prescribed. Some original ideas are involved in the methods. Analytically derived formulas for the identification of unknown model parameters from feedback-relay experiment with saturation relay in order to find a sufficiently accurate process model are presented as well. For real-world applications with digital computers, control algorithms ought to be discretized and simplified; hence, some approaches are briefly described and implemented. A numerous examples together with MATLAB/Simulink results clarify theoretic statements throughout the text. Selected complex examples involve. Last but not least, results of identification and control of a laboratory heating plant with significant delays, with a basic robust stability and robust performance analysis, are presented as well, which clearly affirms the practical applicability of the approach. (en)
Title
  • Control of Time Delay Systems - An Algebraic Approach
  • Control of Time Delay Systems - An Algebraic Approach (en)
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  • Control of Time Delay Systems - An Algebraic Approach
  • Control of Time Delay Systems - An Algebraic Approach (en)
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  • RIV/70883521:28140/13:43870594!RIV14-MSM-28140___
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  • Control Theory, Time Delay Systems, Algebraic Control Methods, Relay Autotuning, Optimization, Robust Stability Analysis, Rings, Heating Systems, Matlab/Simulink, Modelling, Identification (en)
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