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This paper addresses predictive control of constrained LPV systems. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting invariant sets and a receding horizon optimization procedure which provides a nonlinear correction to the nominal gain scheduled linear feedback. Feasibility domains for the gain...
Iterative Feedback Tuning (IFT) is a direct tuning method using closed loop experimental data. The method is based on numerical optimization and in each iteration an unbiased gradient estimate is used. In this contribution we show how to use IFT to do robust loopshaping. One method, based on the approach suggested by Glover and McFarlane [1], uses an approximate H∞ cost function and alternates between...
This paper addresses the robust stability and stabilization problems for a class of continuous-time linear systems with Markov jump parameters taking values in a countably infinite set. We consider the problem of robustness against various classes of parametric uncertainty, which extends previous results in the literature. By means of the introduction of novel scaling techniques, it is shown how less...
This paper addresses the problems of robust stability and stabilization of discrete-time linear systems with Markov jump parameters taking values in a countably infinite set. We consider the problem of robustness against complex multiperturbations, which extends the setting currently encountered in the literature. By means of the introduction of block-diagonal scaling techniques, we show how less...
Simple LMI methods are proposed for the joint multi-model multi-objective design of static or fixed order output feedback, feedforward and anti-windup controllers. The technique accounts for modal, H∞ and H2 specifications on the linear closed loop, as well as robust stability and L2 performance specifications on the saturated one.
This paper deals with the robust stability and robust stabilization problems for nonlinear systems with time-delay and norm bounded uncertainties which can be represented by Takagi-Sugeno (T-S) uncertain fuzzy model with time-delay. Based on fuzzy weighting-dependent Lyapunov-Krasovski functional approach and the free weighting matrix method, stability sufficient conditions are proposed and then extended...
This paper presents a robust model predictive control design method using mixed ℋ2/ℋ∞ for time invariant discrete-time linear systems in the presence of unknown bounded disturbances and system perturbations. The controller has the form of state feedback, satisfies input and state constraints and is constructed from the solution of a set of feasibility linear matrix inequalities. The control law takes...
This paper proposes a design framework for robust control system design. The approach is based on improving the robustness of a previously existing controller instead of the design of a Robust Controller: therefore the consideration of the Controller Robustification problem. The method is based on the generation of a complement to the control signal of the initial controller by means of a Robustification...
This paper presents a H∞ loop-shaping controller for regulating the switching signal of the inverter connected with a single-phase photovoltaic (PV) system. To facilitate the control design, the system is represented in terms of state space realization with uncertainties. The controller design involves achieving proper loop shapes through the choice of the proper weighting functions. A H∞ synthesis...
Integrated servo-mechanical design is commonly solved using numerical methods. In this paper, allowable regions for the redesigned open loop Nyquist plot are derived based on performance and chance-constrained robust stability specifications, considering high-frequency reshaping of the mechanical plant based on a low-order controller. Our simulation results on the Pb-Zr-Ti active suspension in a commercial...
The main objective of the present work is to investigate the robust stability analysis aspect of Sun Seeker System (SSS) under parametric uncertainties. In this paper robust stability analysis of closed loop block diagram of a SSS is presented with and without proportional-integral-derivative (PID) controller. Transfer functions are derived for both SSS systems i.e., with and without PID controller...
The large scale power systems are liable to performance deterioration due to the presence of sudden small load perturbations and parameter uncertainties. Due to this, modern control aspects are very important in Load Frequency Control (LFC). This paper presents a robust load frequency controller design based on Quantitative Feedback Theory (QFT). QFT is an engineering control design methodology that...
Most of traditional robust problems focus on developing a robust controller to stabilize the dynamic system when system parameters perturb in certain bounded range. However, this paper studies the robust inverse problem, that is to say studying robust stability's inverse problem (RSIP) for linear systems. In other words, it needs to find at least a stable system parameters' perturbation space (SSPPS)...
The paper presents an original algorithm to determine the intervals of characteristic polynomial coefficients, which ensure that the polynomial roots are located leftward to the vertical line, which specifies the robust stability degree. This algorithm is built in conditions that provide linking indexes of stability and oscillation with interval coefficients of the characteristic polynomial. The paper...
The type-k disturbance observer, also known as high order disturbance observer, is a robust output feedback controller which can reject polynomial-in-time disturbances exactly and at the same time unmodeled disturbances approximately. To ensure the robust stability of the closed-loop system, the key component of the controller called Q-filter should be designed appropriately. In this paper, we formulate...
Aiming at achieving robust control of an Inductive Power Transfer (IPT) system and based on an H∞ loop-shaping algorithm, this paper proposes a multi-objective optimization framework to ensure an optimal performance. Three objectives and constraints related to the H∞ loop-shaping design and singular structured value are defined to optimize the robust stability and robust performance. A time-domain...
In the framework of the angular metric, robust stability margin is used to characterize the stability robustness of the closed-loop system. The mixed H2/H8 robust controller with degree constraint is designed, whose degree is not larger than that of the plant. The characteristics of mixed H2/H8 controller with degree constraint are discussed, and the form of the controller is parameterized. After...
Distributed control is an important framework to handle large-scale systems, however, robust distributed control for polytopic uncertain systems still being a challenge. In this work, we propose a robust distributed framework for interpolation-based control of polytopic uncertain systems. The algorithms proposed consist of both off-line and online computations. The entire system is decomposed into...
In this paper, a robust tracking control design for nonlinear plants with perturbation is considered by using operator-based observers and robust right coprime factorisation approach. In real situations, there exist unknown uncertainties consisting of modeling errors and external disturbances. The robust right coprime factorization approach is convenient in researching input-output stability problems...
Peltier refrigeration system is a typical nonlinear control affine system with unknown bounded perturbations. An optimal tracking control scheme based on PSO is proposed for the refrigeration system. Firstly, the mathematical model of the peltier refrigeration system is built. Secondly, operator-based robust controller is designed to ensure robust stability of the system by using robust right coprime...
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