Eigenstructure assignment for state constrained linear continuous time systems
Automatica (Journal of IFAC)
Design of pole-assignment controller for systems with algebraic-equation constraint
Systems & Control Letters
Computer Controlled Systems: Theory and Design
Computer Controlled Systems: Theory and Design
Brief paper: State estimation for linear systems with state equality constraints
Automatica (Journal of IFAC)
Stable in state constrained control of discrete-time systems
ISTASC'10 Proceedings of the 10th WSEAS international conference on Systems theory and scientific computation
Constrained H∞ control of discrete-time systems
Proceedings of the 15th WSEAS international conference on Systems
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This paper deals with the optimal control problem for linear systems with linear state equality constraints. For deterministic linear systems, first we find various existence conditions for constraining state feedback control and determine all constraining feedback gains, from which the optimal feedback gain is derived by reducing the dimension of the control input space. For systems with stochastic noises, it is shown that the same gain used for constraining the deterministic system also optimally constrains the expectation of states inside the constraint subspace and minimizes the expectation of the squared constraint error. We compare and discuss performance differences between unconstrained (using penalty method), projected, and constrained controllers for both deterministic and stochastic systems. Finally, numerical examples are used to demonstrate the performance difference of the three controllers.