If you have secured a legitimate copy, do not read it like a novel. Khalil is famous for terse proofs. Follow this proven study path:
Understanding autonomous and non-autonomous systems.
Linear systems follow the principle of superposition. Nonlinear systems do not. Khalil introduces critical behaviors unique to nonlinear domains: nonlinear control khalil pdf
If you are interested, I can of backstepping or sliding mode control from the book, or compare this book with other popular control textbooks (like Slotine & Li). Would that be helpful? Share public link
Because the is so dense, pair it with YouTube lectures. Professors like Steve Brunton (University of Washington) and the "Control Bootcamp" series explicitly reference Khalil’s notation and examples. If you have secured a legitimate copy, do
Utilizing energy-based concepts for stability.
One of Khalil’s research specialties is ISS. This section teaches you how to analyze systems with disturbances. The concept of "gain" from input to state is explained, linking nonlinear analysis back to the familiar ( \mathcalH_\infty ) concepts from linear theory. Linear systems follow the principle of superposition
(Input-to-State Stability) Chapter 5: Passivity (Memoryless Functions, State Models) Chapter 6: Input-Output Stability ( Stability, Gain)
This is where the magic happens. Khalil shows you how to algebraically transform a nonlinear system into a linear one through a clever change of coordinates and state feedback. You will learn to compute Lie derivatives and relative degree—tools essential for controlling robot arms or high-performance aircraft.