1 TTK4150 Nonlinear Control Systems Lecture 5 Stability analysis for autonomous systems Direct Lyapunov method continued Invariance principle 2 Previous lectures: stability of autonomous systems ã Stability of equilibrium points (autonomous systems) – Definitions (stability, asymptotic/exponential stability, global asymptotic/exponential stability, region of attraction) – Stability analysis using phase plane analysis – Stability analysis using indirect (linearization) Lyapunov method ã Stabilit
of 17
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
  1 TTK4150 Nonlinear Control Systems Lecture 5 Stability analysis for autonomous systemsDirect Lyapunov method continuedInvariance principle  2 Previous lectures:stability of autonomous systems ãStability of equilibrium points (autonomous systems) –Definitions (stability, asymptotic/exponential stability, globalasymptotic/exponential stability, region of attraction) –Stability analysis using phase plane analysis –Stability analysis using indirect (linearization) Lyapunov methodãStability analysis using energy functionsãDirect Lyapunov method for stability analysis –Theorems for stability, asymptotic stability, global asymptotic stability, exponentialstability, global exponential stability –Application examples –Lyapunov functions: quadratic Lyapunov functions, examples, tricks  3 Today: ãDirect Lyapunov method for stability analysis –Lyapunov functions: examples, tricks, continued…ãInvariance principle –Definitions: compact sets, invariant sets, convergence to sets –Invariance principle + corollaries –Application exampleãEstimation of the region of attraction –Definition, examples –An algorithm  4 Literature ãKhalil Chapter 4 (Lyapunov functions tricks and examples) Chapter 4, Section 4.2, (Invariance principle) Chapter 8, Secton 8.2 (estimation of the region of attraction)
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks

We need your sign to support Project to invent "SMART AND CONTROLLABLE REFLECTIVE BALLOONS" to cover the Sun and Save Our Earth.

More details...

Sign Now!

We are very appreciated for your Prompt Action!