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Riccati Differential Inequalities: Suboptimal H-infinity Controllers for Finite Horizon Time-Varying Systems
Riccati Differential Inequalities Suboptimal H-infinity
2015/6/19
In this paper we give a direct derivation of the solution to the continuous time finite horizon H-infinity synthesis problem. An explicit separation of the time domain cost function into past and futu...
Robust Performance and Adaptation Using Receding Horizon H-infinity Control of Time Varying Systems
Receding Horizon H-infinity Control Time Varying Systems
2015/6/19
In this paper we construct suboptimal H-infinity controllers which satisfy a new robust performance condition, using the receding horizon technique. A method is described for the synthesis of H-infini...
Analysis and Synthesis Tools for Time-Varying Systems
Time-Varying Systems Analysis and Synthesis
2015/6/19
In this paper new techniques are developed for the analysis of linear time varying (LTV) systems. These lead to a formally simple treatment of problems for LTV systems, allowing methods more usually r...
Guaranteed Error Bounds for Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
New techniques are presented for the model reduction of linear time-varying and linear periodically-varying systems, including the formulation and proof of guaranteed upper bounds for the error. The c...
Error Bounds for Balanced Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
Error-bounds are developed for balanced truncation of linear time-varying systems, leading to an extension of the `twice the sum of the tail' formulae, well-known in the time-invariant case. The appro...
A New Approach for Analysis and Synthesis of Time-Varying Systems
Time-Varying Systems Analysis and Synthesis
2015/6/19
In this paper new techniques are developed for the analysis of linear time varying (LTV) systems. These lead to a formally simple treatment of robust control problems for LTV systems, allowing methods...