Loose eigenstructure assignment via rank-one LMI approach with application to transient response shaping in H _∞ control

Harmony search optimization for robust pole assignment in union regions for synthesizing feedback control systems

“…Example 2. Consider the simplified lateral-directional dynamics of a small aircraft model proposed by Satoh and Sugimoto (2009). Suppose the plant has 40% uncertainty at A ( 1 , 1 ) .…”

“…Satoh and Sugimoto (2009) considered the robust stabilization of the model as an equivalent H ∞ control problem. The coefficient matrices of equation (32) are definedas A = A 1 , B = B , B 1 = H ^ , C = E a , D = 0 , i.e.…”

“…In order to verify the effectiveness of the proposed method, the chosen union region Ω is the same as it is in the work by Satoh and Sugimoto (2009) using the LMI method. The first disk region is Ω 1 ( 2 , − 8 , 3 . 5 ) centred at σ 1 = ( − 10 , 3 . 5 j ) .…”

“…Pole assignment is a basic design approach to achieve some desired properties such as the decay rate and modal frequency of a linear feedback control system (Kautsky et al, 1985; Satoh and Sugimoto, 2009). In practice, a closed-loop system must be robust for parameters in the model.…”

“…Maamri et al (2006) considered pole assignment in a set of disjoint circular regions using the LMI method. Satoh and Sugimoto (2009) proposed a loose regional pole assignment via the rank-one LMI approach. It is worth noting that in terms of the robustness of the system, the uncertainties or perturbations are required to satisfy the specified conditions for the previous methods.…”