...Bidhayak Goswami; Anindya Chatterjee We consider linear time-invariant dynamic systems in the single-input, single-output (SISO) framework. In particular, we consider stabilization of an inverted pendulum on a cart using a force on the cart. This system is easy to stabilize with pendulum angle...

... are eliminated. 25 07 2007 03 04 2008 04 08 2008 control system synthesis feedback friction mechanical stability nonlinear systems oscillations pendulums inverted pendulum friction feedback control stability analysis Although friction, which dissipates energy...

...-Dependent Ricatti Equation Inverted Pendulum To build a mechatronics system, designs of the mechanical structure and of the control systems are often sequentially done. However to achieve high performance, they should be done concurrently. The so-called simultaneous design method considers optimal...

... . Manuscript received by the Dynamic Systems and Control Division February 11, 2000. Associate Editor: Y. Hurmuzlu. 11 February 2000 pendulums nonlinear control systems time optimal control maximum principle Inverted Pendulum Nonlinear Systems Nonlinear Optimization Time Optimal...