Receding horizon revisited: An easy way to robustly stabilize an LTV system
Systems & Control Letters
The complex structured singular value
Automatica (Journal of IFAC) - Special issue on robust control
Linear robust control
A Unified Algebric Approach to Control Design
A Unified Algebric Approach to Control Design
Linear Time Varying Systems and Sampled-Data Systems
Linear Time Varying Systems and Sampled-Data Systems
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Receding horizon H∞ control problems for sampled-data systems
International Journal of Systems Science
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In this paper we consider the receding horizon stabilization and H∞ control problems for time-varying discrete-time systems. We first consider the receding horizon stabilization control problem. We give design methods of receding horizon state feedback, output feedback controllers and observers. We then consider the receding horizon H∞ control problems. We introduce two Riccati inequalities (equations) from the standard H∞ theory, one for the state feedback controller and the other for the filter gain. We rewrite the second Riccati inequality and obtain an equivalent inequality for the inverse. We then rewrite this using LMI to obtain the final form of the inequality which is used to our receding horizon H∞ control problem. We give a numerical example and construct a receding horizon H∞ controller.