Linear and Nonlinear Multivariable Feedback Control: A Classical Approach (Hardcover)

Oleg Gasparyan



Automatic feedback control systems play crucial roles in many fields, including manufacturing industries, communications, naval and space systems. At its simplest, a control system represents a feedback loop in which the difference between the ideal (input) and actual (output) signals is used to modify the behaviour of the system. Control systems are in our homes, computers, cars and toys. Basic control principles can also be found in areas such as medicine, biology and economics, where feedback mechanisms are ever present.


Linear and Nonlinear Multivariable Feedback Control presents a highly original, unified control theory of both linear and nonlinear multivariable (also known as multi-input multi-output (MIMO)) feedback systems as a straightforward extension of classical control theory. It shows how the classical engineering methods look in the multidimensional case and how practising engineers or researchers can apply them to the analysis and design of linear and nonlinear MIMO systems.


This comprehensive book:


  • uses a fresh approach, bridging the gap between classical and modern, linear and nonlinear multivariable control theories;
  • includes vital nonlinear topics such as limit cycle prediction and forced oscillations analysis on the basis of the describing function method and  absolute stability analysis by means of the primary classical frequency-domain criteria (e.g. Popov, circle or parabolic criteria);
  • reinforces the main themes with practical worked examples solved by a special MATLAB-based graphical user interface, as well as with problems, questions and exercises on an accompanying website.  


The approaches presented in Linear and Nonlinear Multivariable Feedback Control form an invaluable resource for graduate and undergraduate students studying multivariable feedback control as well as those studying classical or modern control theories. The book also provides a useful reference for researchers, experts and practitioners working in industry




- 使用一種新的方法,彌合了傳統和現代、線性和非線性多變量控制理論之間的差距;
- 包括重要的非線性主題,如基於描述函數方法的極限週期預測和強制振盪分析,以及通過主要的傳統頻域準則(例如Popov、圓形或抛物線準則)進行絕對穩定性分析;
- 通過特殊的基於MATLAB的圖形用戶界面解決實際工作例子,並提供相關網站上的問題、問題和練習,加強主題。