The optimal regulation of generalized state-space systems with quadratic cost
Automatica (Journal of IFAC)
Constrained regulation of linear continuous-time dynamical systems
Systems & Control Letters
An eigenstructure assignment approach for constrained linear continuous-time singular systems
Systems & Control Letters
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
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This article considers the constrained regulation problem (CRP) for linear continuous-time singular systems. The study consists in finding for a completely controllable singular system a linear state feedback control law that eliminates the impulsive behavior of a system and transfers asymptotically to the origin all initial states belonging to some polyhedral subset of the state space while respecting the linear constraints on state and control vectors. The proposed method gives a solution to the CRP for a singular system from a transformation that leads to a problem of positive invariance for a reduced order nonsingular one. Conditions guaranteeing the positive invariance for the whole domain of admissible controls are deduced. It is shown that the solution to the CRP is that of a nonlinear algebraic matrix equation.