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In this paper, the system functions(S-Function) such as Tracking-Differentiator (TD), Extended-State-Observer (ESO) and Non-linear-State-Error-feedback (NLSEF) were written, the model of Auto Disturbance Rejection Controller (ADRC) was established. Through a simple second-order system as the object, the ADRC and PID algorithms were simulated. After analysis and comparison of these two different control...
According to the dynamic characteristics and static relationship of boiler steam temperature controlled object, to establish the model of boiler steam temperature, it can be described by block diagrams or state space, which has the full scope non-linear and time-varying characteristics. The section transfer functions can be converted into variable state space applied Jordan blocks and algebraic transformation...
An Adaptive Fuzzy PID Controller with Genetic Algorithm (GA) to tune its parameters is proposed by this paper. The task of the controller is to track the trajectory of a nonlinear system as best as it could. The Lyapunov's direct method is used as a tool for nonlinear system analysis and design. In which, the Lyapunov's linearization method is proven here to be useful for linear control. The paper...
The dynamics of electro hydraulic servo system (EHSS) in pipe expanding process are highly nonlinear. The system may be subjected to large extent of model uncertainties, non-smooth and discontinuous nonlinearities of asymmetry proportional-servo valve, asymmetry cylinder, friction, etc. To address these challenging issues, the nonlinear character of asymmetry cylinder actuated by asymmetry valve was...
The boiler thermal control system is well known with the characteristic of slow time-varying, large lag and large inertia. Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points is transformed to state-space description with time variable. According to engineering practice of control strategy based on incremental function...
Friction exists in all motions, and friction is the key factor that influences the low velocity performance of servo systems. It usually caused the steady-state error of servo systems and resulted in the creeping phenomenon in low velocity motions. Friction is complicated nonlinear process with time-varying uncertainties. The traditional PID controller of servo systems with fricition was not satisfactory...
There are many complex industrial processes with highly nonlinear and uncertain characteristics which are generally difficult to control by well known PID controllers. Active disturbance rejection control (ADRC), a relatively recent nonlinear control method, is an alternative framework which has the advantages on simple algorithm, strong robustness, and less dependence on the mathematical models of...
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