Receding horizon quadratic optimal control: Performance bounds for a finite horizon strategy

1997 ◽  
Author(s):  
Vesna Nevistic ◽  
James A. Primbs
Keyword(s):  
Optimal Control ◽  
Finite Horizon ◽  
Performance Bounds ◽  
Control Performance ◽  
Receding Horizon ◽  
Quadratic Optimal Control

Robust quadratic finite-horizon optimal controllers design of uncertain active suspension systems

2009 ◽  
Vol 223 (7) ◽  
pp. 941-955
Author(s):  
S-H Chen ◽  
W-H Ho ◽  
J-H Chou ◽  
S-K Lin
Keyword(s):  
Optimal Control ◽  
Constrained Optimization ◽  
Optimization Problem ◽  
Control Design ◽  
Active Suspension ◽  
Suspension System ◽  
Finite Horizon ◽  
Constrained Optimization Problem ◽  
Optimal Controllers ◽  
Quadratic Optimal Control

By integrating the robust stabilizability condition, the orthogonal functions approach (OFA), and the hybrid Taguchi-genetic algorithm (HTGA), an integrative method is presented in this paper to design a robust-stable and quadratic optimal controller such that (a) the active suspension system with elemental parametric uncertainties can be robustly stabilized, and (b) a quadratic finite-horizon integral performance index for the nominal active suspension system can be minimized. In this paper, the robust stabilizability condition is proposed in terms of linear matrix inequalities (LMIs). Based on the OFA, an algebraic algorithm involving only algebraic computation is derived in this paper for solving the nominal active suspension feedback dynamic equations. By using the OFA and the LMI-based robust stabilizability condition, the dynamic optimization problem for the robust-stable and quadratic optimal control design of the linear uncertain active suspension system is transformed into a static-constrained optimization problem represented by algebraic equations with the constraint of the LMI-based robust stabilizability condition; thus greatly simplifying the robust-stable and quadratic optimal control design problem of the linear uncertain active suspension system. Then, for the static-constrained optimization problem, the HTGA is employed to find the robust-stable and quadratic optimal controllers of the linear uncertain active suspension system. A design example is given to demonstrate the applicability of the proposed integrative approach.

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