Control Theory: poles/zeros assignment in linear systems on sliding hypersurface

What’s the definition of pole assignment method? How can I define sliding surface in sliding mode control using the pole assignment method? Originally asked on Quora.

Answer by Egor Polilov, Lead Programmer at NTR Lab, on Quora:

Excerpted from the original article [in Russian] by E.V. Polilov,  On The Location Of The Sliding Hyperpsurface Of Relay-Type Modal Systems / 12th International Scientific-Technical Conference on Electromechanics and Robotics “Zavalishin’s Readings” – 2017, Saint Petersburg, Russia.

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More answers from Egor:

• In pole placement method, what are the limitations of assigning new pole positions? How can I see that if I, for example, assign a pole from +2 to -100000, there is no practical application?

• What are the advantages of Sliding Mode Control over PID control?

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Control theory in control systems engineering deals with the control of continuously operating dynamical systems in engineered processes and machines. The objective is to develop a control model for controlling such systems using a control action in an optimum manner without delay or overshoot and ensuring control stability. (Wikipedia)

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