Chilled Water Temperature Control of HVAC System Using GPC Based Controller

2012 ◽  
Vol 151 ◽  
pp. 626-631
Author(s):  
Qiang Ma ◽  
Jian Gang Lu ◽  
Qin Min Yang ◽  
Jin Shui Chen ◽  
You Xian Sun
Keyword(s):  
Predictive Control ◽  
Pid Controller ◽  
Closed Loop ◽  
Controller Design ◽  
Simulation Environment ◽  
Closed Loop System ◽  
Satisfactory Performance ◽  
Chilled Water ◽  
The Stability ◽  
Theoretical Results

This work proposes a generalized predictive control (GPC) based controller for the temperature of HVAC chilled water supply. In this paper, several models of evaporator are firstly introduced, wherein an identified black-box model is selected for the purpose of controller design. Based on this model, a GPC based controller is employed to obtain a satisfactory performance even with the presence of disturbance. The theoretical results show the stability of the closed-loop system and the performance of this scheme is compared with that of traditional PID controller under simulation environment.

An Improved Design for PID Controller Based on Viere Theorem

2013 ◽  
Vol 303-306 ◽  
pp. 1167-1170
Author(s):  
Zhi Yi Xu ◽  
Xiang Jun Zhang ◽  
Zhen Liu
Keyword(s):  
Pid Controller ◽  
Closed Loop ◽  
Controller Design ◽  
New Method ◽  
Optimal Parameters ◽  
Closed Loop System ◽  
Pid Controller Design ◽  
Search Speed ◽  
Improved Design ◽  
The Stability

The paper proposes a new method based on the Viere theorem to decide the range containing the optimal parameters. The method can accelerate the parameters search speed on the computer and avoid some unnecessary job for PID controller design. It can be acted as a criterion to judge the stability of the closed loop system.

scholarly journals Robust Synchronization Controller Design for a Class of Uncertain Fractional Order Chaotic Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Lin Wang ◽  
Chunzhi Yang
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Closed Loop System ◽  
Synchronization Problem ◽  
Robust Synchronization ◽  
Lyapunov Stability Criterion ◽  
Theoretical Results

Synchronization problem for a class of uncertain fractional order chaotic systems is studied. Some fundamental lemmas are given to show the boundedness of a complicated infinite series which is produced by differentiating a quadratic Lyapunov function with fractional order. By using the fractional order extension of the Lyapunov stability criterion and the proposed lemma, stability of the closed-loop system is analyzed, and two sufficient conditions, which can enable the synchronization error to converge to zero asymptotically, are driven. Finally, an illustrative example is presented to confirm the proposed theoretical results.

Analysis of NMPC Algorithm Based on Reduced Precision Solution Criteria

2013 ◽  
Vol 325-326 ◽  
pp. 1282-1289
Author(s):  
Jiao Na Wan ◽  
Ju Wen Zhang ◽  
Zhi Qiang Wang ◽  
Tie Jun Zhang ◽  
Ke Xin Wang
Keyword(s):  
Predictive Control ◽  
Closed Loop ◽  
Optimal Solution ◽  
Computation Time ◽  
Optimization Procedure ◽  
Nonlinear Model Predictive Control ◽  
Control Performance ◽  
Convergence Criteria ◽  
Closed Loop System ◽  
The Stability

This paper studies the stability of nonlinear model predictive control (NMPC) based on sub-optimal solution obtained under reduced precision solution (RPS) criteria. NMPC needs to solve the optimal control problem (OCP) quickly and the input is injected into the controlled plant in time. Traditional convergence criteria in optimization algorithms usually cost excessive long computation time with little improvement of solution, which results in degradation of control performance eventually. RPS criteria are new convergence criteria for deciding whether the current iterate is good enough and whether the optimization procedure should be terminated. It can terminate the optimization process timely. This work gives the proof of the rps-NMPCs property. Simulations are done to analyze the effect of disturbance, especially when computational delay exists, on the closed-loop system controlled by rps-NMPC, and demonstrate that the algorithm owns good stability when disturbance exists.

SPWM Inverter Closed-Loop PID Control System

2011 ◽  
Vol 219-220 ◽  
pp. 1367-1370 ◽  
Author(s):  
Ying Chen
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Closed Loop ◽  
Digital Simulation ◽  
Open Loop ◽  
Current Loop ◽  
Closed Loop System ◽  
Working Principle ◽  
The Stability ◽  
Power Electronic Technology

Along with the development of power electronic technology, various inverters are widely used in all sectors. the advanced modern control theory and methods have been applied in the inverter, which made the stability and reliability for the inverter have improved greatly. In this paper analyses the working principle for SPWM inverter that used voltage and current cut-loop PID control strategy, in the voltage loop and current loop make use of its transfer function to both no-load and full load conditions for digital simulation, and get different Bode diagrams, meanwhile also analyses the different simulation results for system that without add PID controller and join PID controller, with the analyze results can determine the open-loop frequency characteristics of various parameters for the closed- loop system, and to ensure the output inverter to achieve the intended targets.

scholarly journals Robust adaptive controller design for excavator arm

2019 ◽  
Vol 8 (4) ◽  
pp. 293
Author(s):  
Nga Thi-Thuy Vu
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Closed Loop System ◽  
Model Free ◽  
Lagrange Form ◽  
Robust Adaptive ◽  
The Stability ◽  
Robust Adaptive Controller

This paper presents a robust adaptive controller that does not depend on the system parameters for an excavator arm. Firstly, the model of the excavator arm is demonstrated in the Euler-Lagrange form considering with overall excavator system. Next, a robust adaptive controller has been constructed from information of state error. In this paper, the stability of overall system is mathematically proven by using Lyapunov stability theory. Also, the proposed controller is model free then the closed loop system is not affected by disturbances and uncertainties. Finally, the simulation is executed in Matlab/Simulink for both presented scheme and the PD controller under some conditions to ensure that the proposed algorithm given the good performances for all cases.

Design of Variable Structure Control with Bounded Inputs

2010 ◽  
Vol 29-32 ◽  
pp. 1175-1180
Author(s):  
Qing Kun Zhou ◽  
Sheng Jian Bai ◽  
Zhi Yong Zhang
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure ◽  
Closed Loop System ◽  
Variable Structure Systems ◽  
Structure Control ◽  
Variable Structure System ◽  
Lti System ◽  
The Stability

The design of variable structure system inputs which are constrained by saturation is studied. For a LTI system which satisfies some conditions, it is shown that appropriate bounded controllers guarantee the system’s global stability and maximize the sliding mode domain on the switching surfaces. Stability conditions of variable structure systems with constrained inputs are relaxed, and the stability of the closed-loop system is guaranteed by using passivity theory of linear passive systems. Moreover, nonlinear sliding surfaces are discussed for variable structure controller design, and a novel nonlinear switching surface is proposed. Finally, the proposed methods are applied to a 2nd order LTI system to show their usefulness.

Stable observer-based controller design for robust state-feedback pole assignment

2000 ◽  
Vol 214 (4) ◽  
pp. 313-318 ◽  
Author(s):  
G P Liu ◽  
G R Duan ◽  
S Daley
Keyword(s):  
Frequency Domain ◽  
Stability Problem ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Pole Assignment ◽  
Loop System ◽  
Closed Loop System ◽  
Sensitive Function ◽  
The Stability

The design of stable observer-based controllers for robust pole assignment is addressed in this paper. The stability problem of these dynamical controllers is investigated, which is often ignored during the controller design. A design formulation of stable observer controllers is presented using state-feedback pole assignment techniques. Although the design formulation is principally aimed at the design of a stable controller, the mixed sensitive function in the frequency domain is also considered to improve the robustness of the closed-loop system. This ensures that the closed-loop system has good robustness and the controller is stable.

New Results on PID Stabilization of Integral Process with Time Delay

2015 ◽  
Vol 775 ◽  
pp. 339-346
Author(s):  
Yu Dong
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Imaginary Axis ◽  
Stability Region ◽  
Closed Loop ◽  
Closed Loop System ◽  
Double Pole ◽  
Integral Process ◽  
The Stability ◽  
Integral Gain

This paper considers the problem of stabilizing an integral process with time delay by a PID controller. As the proportional gain reaches the extreme value, the closed-loop system contains a double pole on the non-negative imaginary axis. Using this property, the admissible range of the proportional gain is derived, also the corresponding integral gain and derivative gain are obtained. For a fixed value of the proportional gain, the stability region in the plane of the integral and derivative gains is determined analytically. Moreover, the admissible ranges of the integral and derivative gains are computed and found to be non-convex. A numerical example illustrates the method presented.

Robust Controller Design to Achieve Active Damping for a MEMS Microphone

2008 ◽  
Author(s):  
Jinli Qu ◽  
Ronald N. Miles ◽  
N. Eva Wu
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Active Damping ◽  
Closed Loop System ◽  
Robust Controller ◽  
Nonlinear Simulation ◽  
Mems Microphone ◽  
And Performance ◽  
The Stability ◽  
Robust Controller Design

This paper presented an H∞-controller design to achieve active damping for a MEMS microphone system. The parametric uncertainties introduced by linearization process were modeled. The stability and performance of the closed-loop system were analyzed for the uncertain microphone model and both were shown to be robust. The nonlinear simulation further verifies that the controller offers the desired performance.

scholarly journals Design and experimentation of a self-tuning PID control applied to the 3DOF helicopter

2013 ◽  
Vol 23 (3) ◽  
pp. 311-331 ◽  
Author(s):  
Ahsene Boubakir ◽  
Salim Labiod ◽  
Fares Boudjema ◽  
Franck Plestan
Keyword(s):  
Pid Controller ◽  
Degrees Of Freedom ◽  
Closed Loop ◽  
Loop System ◽  
Closed Loop System ◽  
Adaptation Mechanism ◽  
Model Free ◽  
Self Tuning ◽  
Model Free Control ◽  
The Stability

Abstract The paper presents design and experimental validation of a stable self-tuning PID controller for three degrees of freedom (3-DOF) helicopter. At first, it is proposed a self-tuned proportional-integral-derivative (PID) controller for a class of uncertain second order multiinput multi-output nonlinear dynamic systems to which the 3-DOF helicopter dynamic model belongs. Within this scheme, the PID controller is employed to approximate unknown ideal controller that can achieve control objectives. PID controller gains are the adjustable parameters and they are updated online with a stable adaptation mechanism designed to minimize the error between the unknown ideal controller and the used by PID controller. The stability analysis of the closed-loop system is performed using Lyapunov approach. It is proven that all signals in the closed-loop system are uniformly ultimately bounded. The proposed approach can be regarded as a simple and effective model-free control since the mathematical model of the system is assumed unknown. Experimental results are presented to verify the effectiveness of the proposed controller.

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