Internal stabilization and external LpL_p stabilization of linear systems subject to constraints

Having studied during the last decade several aspects of several control design problems for linear systems subject to magnitude and rate constraints on control variables, during the last two years the research has broadened to include magnitude constraints on control variables as well as state variables. Recent work by Han et al. (2000), Hou et al. (1998) and Saberi et al. (2002) considered linear systems in a general framework for constraints including both input magnitude constraints as well as state magnitude constraints. In particular, Saberi et al. consider internal stabilization while Han et al. consider output regulation in different frameworks, namely a global, semiglobal, and regional framework. These problems require very strong solvability conditions. Therefore, a main focus for future research should focus on finding a controller with a large domain of attraction and some good rejection properties for disturbances restricted to some bounded se

On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators

Deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system which is both globally finite gain L/sub p/ stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L/sub p/ gain of the closed-loop system arbitrarily small

On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators

Deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system which is both globally finite gain L/sub p/ stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L/sub p/ gain of the closed-loop system arbitrarily small