Interval observer design for LPV systems with parametric uncertainty

Wang, Yan; Bevly, David M.; Rajamani, Rajesh

doi:10.1016/j.automatica.2015.07.001

Cited by 130 publications

(68 citation statements)

References 13 publications

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“…The estimation error set, bounded disturbance, and noise can be represented by special form of polyhedral sets, eg, zonotopes 34 or interval sets. 35 In these situations, the estimation error sets can be updated based on set computations. However, to guarantee recursive feasibility of the optimization problem and stability of the controlled system, the refreshment of polyhedral estimation error sets should consider the relationships between the polyhedral estimation error set and the ellipsoidal set related to the Lyapunov function for the estimation error.…”

Section: Overall Algorithm For the Output Feedback Robust Mpc Approachmentioning

confidence: 99%

An observer‐based output feedback robust MPC approach for constrained LPV systems with bounded disturbance and noise

Ping

Yang

Wang

et al. 2019

Intl J Robust & Nonlinear

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Summary The present paper addresses an observer‐based output feedback robust model predictive control for the linear parameter varying system with bounded disturbance and noise subject to input and state constraints. The main contribution is that the on‐line convex optimization problem not only simultaneously optimizes the observer and controller gains to stabilize the augmented closed‐loop system but also incorporates the refreshment of bounds of the estimation error set. The optimization problem steers the nominal augmented closed‐loop system to converge to the origin, and the real augmented closed‐loop system bounded within robust positive invariant set converges to a neighborhood of the origin such that recursive feasibility of the optimization and robust stability of the controlled system are ensured. Two numerical examples are given to illustrate the effectiveness of the method.

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Section: Overall Algorithm For the Output Feedback Robust Mpc Approachmentioning

confidence: 99%

An observer‐based output feedback robust MPC approach for constrained LPV systems with bounded disturbance and noise

Ping

Yang

Wang

et al. 2019

Intl J Robust & Nonlinear

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“…A fault detection procedure and a fault tolerant control based on interval observers are proposed in [31,14] for LPV systems. A class of LPV systems containing both measured and unmeasured time-varying uncertain parameters is considered in [29] where a polytopic formulation of the estimation problem is developed.…”

Section: Introductionmentioning

confidence: 99%

On Interval Observer Design for Continuous-Time LPV Switched Systems

2020

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State estimation for switched systems with time-varying parameters has received a great attention during the past decades. In this paper, a new approach to design an interval observer for this class of systems is proposed. The scheduling vector is described by a convex combination so that the varying parameters belong into polytopes. The considered system is also subject to measurement noise and state disturbances which are supposed to be unknown but bounded. The proposed method guarantees both cooperativity and Input to State Stability (ISS) of the upper and lower observation errors. Sufficient conditions are given in terms of Linear Matrix Inequalities (LMIs) using a common quadratic Lyapunov function. Finally, a numerical example is provided to show the effectiveness of the designed observer.

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“…In essence, it resolves uncertain issues with a non-deterministic solution, which reflects the trend of scientific development. Over the last decade, interval observer has attracted the attention of scholars from the US, Britain, France and other countries, and has become one of the research hotspots in state estimation (Gouzé et al, 2000;Moisan et al, 2009;Wang et al, 2015;Bernard and Gouzé,2004;Raïssi et al, 2012;Mazenc and Bernard, 2011;Mazenc and Niculescu, 2012). It should be noted that it is very difficult to apply traditional observer design and analysis methods directly to the interval observer.…”

Section: Introductionmentioning

confidence: 99%

Interval state estimation for discrete time systems with actuator saturation

2016

Revista de la Facultad de Ingeniería

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It is very difficult to apply traditional observer design and analysis methods directly to the interval observer. What is worse, the existing design and analysis tools for interval observers are very limited, and most of them are targeted at linear systems. Nevertheless, as most of actual control systems are non-linear in nature, there is an urgent need to develop an interval observer design theory targeted to non-linear systems. In this paper, the author puts forward an interval observer design method for discrete systems subject to actuator saturation so as to estimate the state interval of the systems even if there is an unknown non-linear function.

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Interval observer design for LPV systems with parametric uncertainty

Cited by 130 publications

References 13 publications

An observer‐based output feedback robust MPC approach for constrained LPV systems with bounded disturbance and noise

An observer‐based output feedback robust MPC approach for constrained LPV systems with bounded disturbance and noise

On Interval Observer Design for Continuous-Time LPV Switched Systems

Interval state estimation for discrete time systems with actuator saturation

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