The robust-stable and quadratic-finite-horizon-optimal controllers design problem of the uncertain active suspension systems has been investigated in this paper. A new sufficient condition is derived in terms of LMIs for ensuring that the active suspension systems under time-varying elemental parameter uncertainties are asymptotically stable. By using the OFA, an algebraic algorithm is presented to solve the nominal feedback dynamic equation. Then, the algebraic algorithm is complementanly fused with HTGA to design the robust-stable and quadratic-finite-horizon-optimal controller of the uncertain active suspension system such that the control objective of directly minimising a quadratic-finite-hozon-integral performance index including a quadratic-trajectory sensitivity term subject to the constraint of LMI-based robust stabilisability criterion can be achieved. The quadratic-finite-horizon integral performance index is also converted into an algebraic form by employment of the OFA. By using the OFA and the LMI-based robust stabilisability condition, the dynamic optimisation problem for the robust-stable and quadratic-finite-horizon-optimal controller design of the linear uncertain active suspension system is transformed into a static-constrained-optimisation problem represented by the algebraic equations with constraint of LMI-based robust stabilisability condition; thus greatly simplifies the design problem. Then, for the static-constrained-optimisation problem, the HTGA is employed to find the robust-stable and quadratic-finite-horizon-optimal controllers of the linear uncertain active suspension systems. A design example is given to demonstrate the applicability of the proposed integrative computational approach.
Design of robust-stable and quadratic finite-horizon optimal controllers with low trajectory sensitivity for uncertain active suspension systems
Enwurf von robust-stabilen und quadratischen finiter-Horizont optimierten Reglern mit geringer Richtungsempfindlichkeit zur Anwendung in unbestimmten aktiven Federungssystemen
Vehicle System Dynamics ; 48 , 8 ; 945-965
2010
21 Seiten, 10 Bilder, 3 Tabellen, 42 Quellen
Article (Journal)
English
Robust Quadratic Optimal Control for Uncertain Linear Systems
British Library Online Contents | 2001
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