Static State-Feedback Controller and Observer Design for Interval Positive Systems With Time Delay

Stability analysis of discrete‐time positive polynomial‐fuzzy‐model‐based control systems through fuzzy co‐positive Lyapunov function with bounded control

“…is a function of the form 2 indicates the polynomial p(x(k)) is an SOS implying p(x(k)) ≥ 0 where q j (x(k)) is a polynomial and m is a non-zero positive integer. Z ≻ 0, Z ≽ 0, Z ≺ 0 and Z ≼ 0 mean that all the elements of the matrix Z are positive, semipositive, negative and seminegative, respectively.…”

“…positivity, controllability, stability and observability [1][2][3][4][5][6][7][8][9]. In the modelling of positive non-linear systems, the traditional Takagi-Sugeno (T-S) fuzzy model [1][2][3][4][5][6][7][8][9] offers an effective and systematic way to represent the dynamics of positive non-linear systems using local linear systems weighed by corresponding membership functions [10][11][12][13][14][15]. Traditional linear T-S Fuzzy control and stability analysis techniques have been further exploited in T-S fuzzy-model-based (FMB) positive system [16][17][18][19][20][21][22].…”

Impulsive positive observers and dynamic output feedback stabilization of positive linear continuous systems

“…Remark In order to solve the positive stabilization problem, the positivity of the augmented system is required to be guaranteed, which is similar to the observer and controller design for normal positive systems in . This may cause some conservativeness because the positivity requirement on the estimated error e ( t ).…”

Observer‐based controller for positive polynomial systems with time delay

“…H ∞ control via dynamic output feedback for positive systems with multiple delays has been investigated in the work of Zhang et al 11 Significant efforts have been made to develop stability analysis methods and various techniques have been obtained. The standard methods which use common Lyapunov-Krasovskii (L-K) functional, often lead to conservative results (see other works 7,[12][13][14][15][16][17] and the references therein).…”