Meanwhile, for practical stability, one only needs to stabilize a system in a region of phase space, namely the system may oscillate close to the state, in which the performance is still acceptable.
In this paper we propose two smooth optimization methods, one that can stabilize a system, and the other that can perform a stabilization as well as solve the optimal H2-norm design problem.
Boundary control to stabilize a system of coupled linear plant and reaction-diffusion process is considered.
"Nobody in that room voted for Obamacare, so the idea you're going to vote for billions of dollars to stabilize a system you never supported in the first place — pretty hard to choke down," said Rep. Tom Cole (R-Okla.).
Further, we design a formula for a one-parameterized family of suboptimal regular feedback controls that globally asymptotically stabilize a system, provided an appropriate CLF is known.
This could be even worse if the correct answers are not unique, such as the PID parameters that stabilize a system.
In this paper, the problem of finding the set of Proportional Integral Derivative (PID) controllers that can robustly stabilize a system based on its frequency response has been solved.
In many practical uses, however, stabilizing a system exponentially fast is not economical and sometimes unfeasible.
To stabilize a system involving delay terms, additional control terms will be necessary.
However, in several practical applications, one only needs to stabilize a system in a region of phase space, namely the system may oscillate near the equilibrium point, in which the performance is still acceptable.
