Drive the state to a user-defined sliding surface (S(x)=0) and maintain it there, despite uncertainties.
: Named after Alexander Lyapunov , this technique uses "energy-like" functions ( Drive the state to a user-defined sliding surface
Advanced robust design often utilizes . This recursive method breaks a complex system into smaller subsystems. You design a "virtual" control law for the first subsystem, then use it to stabilize the next, and so on, until the actual control input is reached. Additionally, H∞cap H sub infinity end-sub You design a "virtual" control law for the
) to prove that a system will always return to safety. If you can show that this "energy" always decreases, you've guaranteed stability without needing to solve complex differential equations. and so on
Flight control systems with uncertain aerodynamic coefficients.
The state space representation is the preferred language for nonlinear control. Instead of looking at input-output transfer functions, we represent the system as a set of first-order differential equations: