On improving the convergence speed of linear continuous-time systems under constrained control: Sylvester equation approach

Abstract-This paper discusses the problem of dynamic improvement technique to the linear constrained control for continuous-time system with a state observer, using the inverse method. This leads to benefit from a large set of initial states to the cost of a slow dynamic of the closedloop system. During the evolution of the system, the dynamic will be better and better while the constraints on the control vector are respected. KeywordsLinear systems, asymmetric constrained control, state observer, inverse procedure, invariance positive.