Abstract
As discussed in Chap. 1 it is well understood that uncertainties are unavoidable in a real control system. The uncertainty can be classified into two categories: disturbance signals and dynamic perturbations. The former includes input and output disturbance (such as a gust on an aircraft), sensor noise and actuator noise, etc. The latter represents the discrepancy between the mathematical model and the actual dynamics of the system in operation. A mathematical model of any real system is always just an approximation of the true, physical reality of the system dynamics. Typical sources of the discrepancy include unmodeled (usually high-frequency) dynamics, neglected nonlinearities in the modeling, effects of deliberate reduced-order models, and system-parameter variations due to environmental changes and torn-and-worn factors. These modeling errors may adversely affect the stability and performance of a control system. In this chapter, we will discuss in detail how dynamic perturbations are usually described so that they can be well considered in system robustness analysis and design.
Keywords
- Dynamic Perturbations
- Real Control System
- Actuator Noise
- Output Disturbance
- Coprime Factor Perturbations
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References
McFarlane, D.C., Glover, K.: Robust Controller Design Using Normalized Coprime Factor Plant Descriptions. Lecture Notes in Control and Information Sciences, vol. 138. Springer, Berlin (1990)
Redheffer, R.M.: Remarks on the basis of network theory. J. Math. Phys. 28, 237–258 (1950)
Redheffer, R.M.: On a certain linear fractional transformation. J. Math. Phys. 39, 269–286 (1960)
Safonov, M.G.: Stability margins of diagonally perturbed multivariable feedback systems. IEE Proc. Part D, Control Theory Appl. 129, 251–256 (1982)
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Gu, DW., Petkov, P.H., Konstantinov, M.M. (2013). Modeling of Uncertain Systems. In: Robust Control Design with MATLAB®. Advanced Textbooks in Control and Signal Processing. Springer, London. https://doi.org/10.1007/978-1-4471-4682-7_2
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DOI: https://doi.org/10.1007/978-1-4471-4682-7_2
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