• Chapter 1: The inverted pendulum: history and survey of open and current problems in control theory and robotics
• PART I: Robust state estimation and control: application to pendulum-cart systems
  • Chapter 2: State estimation and parameter identification via sliding-mode techniques: pendulum-cart system
  • Chapter 3: Higher order sliding-mode stabilization of inverted cart-pendulum
  • Chapter 4: Stabilization and tracking control of the inverted pendulum on a cart via a modified PSO fractional order PID controller
• PART II: Controllers for underactuated mechanical systems
  • Chapter 5: Model-free control of the inertia wheel inverted pendulum with real-time experiments
  • Chapter 6: Output feedback second-order sliding-mode tracking control for perturbed inertia wheel pendulum
  • Chapter 7: Switched integral sliding mode control for robust generation of self-oscillation in pendulum systems
  • Chapter 8: Finite-time stabilization of underactuated mechanical systems in the presence of uncertainties: application to the cart-pole system
• PART III: Nonlinear controllers for mobile inverted pendulum systems
  • Chapter 9: Advances in robust control of mobile wheeled inverted pendulum
  • Chapter 10: Case studies on non-linear control theory of the inverted pendulum
  • Chapter 11: Bipedal-double-pendulum walking robot control using recurrent hybrid neural network
• PART IV: Robust controllers-based observers via Takagi-Sugeno or linear approaches
  • Chapter 12: A survey on the polytopic Takagi-Sugeno approach: application to the inverted pendulum
  • Chapter 13: Robust fault-tolerant control of nonlinear inverted pendulum and cart system with simultaneous actuator and sensor faults sliding-mode observer
  • Chapter 14: LMI-based control design for balancing and attitude stabilization of inverted pendulums