User Manual Version 0.1 Introduction Get Started Installation Mathematical Backgrounds Homogeneous Objects Homogeneous Curve Homogeneous Spheres Homogeneous Norm $\|\cdot\|_{\mathbf{ d } }$ Control Design Homogeneous Proportional Control (HPC) Fixed-time HPC Homogeneous Sliding Mode Control (HSMC) Homogeneous Proportional-Integral Control (HPIC) Fixed-time HPIC HSMC with integral action Upgrading Linear Proportional Controller (LPC) to HPC Upgrading Linear Proportional-Integral Controller (LPIC) to HPIC Observer Design Homogeneous Observer (HO) Fixed-time HO Upgrading Linear Observer (LO) to HO Homogeneous Projection Examples Plot of homogeneous curve Plot of homogeneous sphere Compuation of homogeneous norm and homogeneous projection Demo HPC Demo Fixed-time HPC Demo HSMC Demo HPIC Demo Fixed-time HPIC Demo HSMC with integral action Demo Upgrading LPC to HPC Demo Upgrading LPIC to HPIC Demo HO Demo Fixed-time HO Demo Upgrading LO to HO Homogeneous Curve