A decentralized prescribed performance adaptive tracking control problem is investigated for Markovian jump uncertain nonlinear interconnected large-scale systems. The considered interconnected large-scale systems contain unknown nonlinear uncertainties, unknown control gains, actuator saturation, and Markovian jump signals, and the Markovian jump subsystems are in the form of triangular structure. First, by defining a novel state transformation with the performance function, the prescribed performance control problem is transformed to stabilization problem. Then, introducing an intermediate control signal into the control design, employing neural network to approximate the unknown composite nonlinear function, and based on the framework of the backstepping control design and adaptive estimation method, a corresponding decentralized prescribed performance adaptive tracking controller is designed. It is proved that all the signals in the closed-loop system are bounded, and the prescribed tracking performances are guaranteed. A numerical example is provided to illustrate the effectiveness of the proposed control strategy. 256 R. CHANG ET AL. constraint and recurrent fuzzy neural networks were used to achieve a prescribed tracking performance for a strict-feedback nonlinear dynamic system, the decentralized adaptive recurrent fuzzy neural networks control scheme was proposed in [6]. Based on the backstepping recursive design technique and the prescribed performance technique, a new adaptive fuzzy output-feedback control method was developed for a class of nonlinear large-scale systems, such that the tracking errors converged to an adjustable neighborhood of the origin with the prescribed performance bounds [7].For the interconnected large-scale systems, actuator saturation can lead to a cascading effect, and then, it may result in overall system collapse. An example of a cascading effect caused by actuator saturation is the 3 August 1996 blackout in Malaysia [8]. In recent years, some results on the decentralized control problem under actuator saturation have been reported. For example, a novel decentralized adaptive neural control scheme was proposed for a class of interconnected large-scale uncertain nonlinear time-delay systems with input saturation [9]. The decentralized H 1 controller was designed for a multi-zone space heating system, which is an interconnected dynamical system subject to external disturbances and input saturation [10]. Two decentralized sliding mode control laws were proposed and analyzed for spacecraft attitude synchronization under actuator failures, and the results could be extended to the case with control input saturation in the second controller [11]. The decentralized adaptive neural control was studied for a class of interconnected nonlinear systems with input saturation in [12,13].However, the aforementioned decentralized control methods in [2][3][4][5][6][7][8][9][10][11][12][13] are for non-switched nonlinear interconnected large-scale systems; therefore, they cannot be used to dea...
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