STABILITY ANALYSIS FOR A CLASS OF LINEAR CONTROLLERS UNDER CONTROL CONSTRAINTS

This paper presents a method of analyzing a system for stability when control magnitude constraints are introduced. Given a linear full state feedback controller (of a certain form) which stabilizes the system in the absence of control constraints, we then determine sufficient conditions under which the system with constrained control remains stable. To guarantee stability, there is a tradeoff between the size of the initial condition set and the size of the control constraints. Results are extended to systems with time varying uncertainty in the system matrix and input matrix.