Digitalizing a Fuzzy Observer-Based Output-Feedback Control: Intelligent Digital Redesign Approach

Sampled-Data Observer-Based Decentralized Fuzzy Control for Nonlinear Large-Scale Systems

“…Also, by using the Schur complement, applying Lemma 3 and denoting 12 (22) can be converted into LMI (20). Thus, if LMIs (19) and (20) are satisfied, inequality (8) of Proposition 2 is also satisfied, and the whole closed-loop system (4) is asymptotically stable.…”

“…However, in the case of nonlinear systems, the exact discretization is not possible, and so, to overcome this problem, various nonlinear sampled-data control techniques have been proposed, such as the Euler approximation [8,9] and the conversion to an input delay controller [10,11]. Sampled-data fuzzy control techniques, which are combination of the sampled-data control technique and the T-S fuzzy model, have also been proposed in many studies [16][17][18][19][20][21][22][23][24][25][26][27] and are categorized into the input delay conversion approach and the direct discrete-time design approach.…”

“…However, there are few studies about observer-based control or decentralized control in the input delay conversion approach. The direct discrete-time design approach [20][21][22][23][24][25][26][27] is to guarantee stability using the discretized model of the continuous-time plant. In [20][21][22], various sampled-data fuzzy control techniques using the direct discrete-time design approach have been proposed, such as the observer-based outputfeedback scheme [20] and the robust control [21].…”

H_∞ Sampled-Data Control of Takagi-Sugeno Fuzzy System

“…A direct discrete-time design is one of powerful design methodologies for sampled-data fuzzy controls (see [1][2][3][4][5] and references cited therein). It is to design a sampled-data controller based on the discrete-time model of a sampled-data dynamics.…”

“…It is to design a sampled-data controller based on the discrete-time model of a sampled-data dynamics. In [1][2][3], approximately discretized model is presented in the form of the general discrete-time Takagi-Sugeno (T-S) fuzzy model, and thus sampled-data fuzzy controllers are easily designed via the existing discrete-time fuzzy control theories. However, as mentioned in [6,7], the stability of the actual sampled-data closedloop system may not be guaranteed due to approximation error, although its approximate discrete-time model is stable.…”