Gain scheduled observer state feedback controller for rational LPV systems

Bouali, A.; Yagoubi, Mohamed; Chevrel, Philippe

doi:10.3182/20080706-5-kr-1001.00827

Cited by 7 publications

(10 citation statements)

References 12 publications

(11 reference statements)

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“…They are based on a non-singular rational LPV system that is input-output equivalent to (27) (see [15]). Figures 1 and 2 show the results of some simulations carried out with this numerical example and the control and estimation gains given above.…”

Section: Simulationsmentioning

confidence: 99%

Observer-based controller synthesis for LPV descriptor systems using dilated LMI conditions

Halalchi

Bara

Laroche

2011

2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD)

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This paper deals with the stabilization and the H 2 control synthesis of Linear Parameter Varying (LPV) descriptor systems. The compensator design problem is examined through a parameter-dependent observer-based control structure. The proposed approach uses parameter-dependent Lyapunov functions and involves slack variables in order to achieve less restrictive synthesis conditions. These synthesis conditions are expressed as a Linear Matrix Inequality (LMI) solvability problem. The admissibility and the H 2 performance are ensured by computing appropriate gains of the state-feedback controller and the observer. Simulation results obtained with a numerical example, show the effectiveness of the proposed approach.

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Section: Simulationsmentioning

confidence: 99%

Observer-based controller synthesis for LPV descriptor systems using dilated LMI conditions

Halalchi

Bara

Laroche

2011

2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD)

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“…Following the LPV descriptor system formulation given in , consider a system with sensor and actuator faults given as

E \overset{x}{true} = A (θ (t)) x + Bu + Rd

where

x \in {double-struckR}^{n}, u \in {double-struckR}^{m}

and

d \in {double-struckR}^{d}

are the state vector, the input vector and disturbance vector or modelling uncertainties, respectively. It should be noted that d denotes the ‘lumped total effect’ of exogenous disturbance and modelling uncertainties.…”

Section: Baseline Controller For Lpv Descriptor Systemsmentioning

confidence: 99%

“…Consider the following descriptor system example modified from :

E \dot{x} = A (θ) x + B u + F_{a} f_{a} + Rd

y = C x

E = [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 0 \end{matrix}], A (θ) = [\begin{matrix} θ & 2 & 1 \\ 1 & - 1 & 0 \\ θ & - θ & - 2 - θ \end{matrix}], C = [\begin{matrix} 1 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}]

B = {[\begin{matrix} 2 & 1 & 0 \end{matrix}]}^{T}, F_{a} = {[\begin{matrix} 2 & 1 & 0 \end{matrix}]}^{T}, R = {[\begin{matrix} normal0 . 1 & normal0 . 1 & 0 \end{matrix}]}^{T}

where

θ \in ([], \begin{matrix} - 1.5 & 1.5 \end{matrix})

. In this study, only an actuator fault is considered to illustrate of the design procedure.…”

Section: Case Studymentioning

confidence: 99%

“…On the other hand, descriptor systems have attracted significant attention in the control community as a consequence of their flexibility for modelling real systems with constraints . In particular, the LPV formulation of a descriptor system can have powerful analysis and design properties . For example, in , an unknown input observer design procedure is generalized to an LPV descriptor system.…”

Section: Introductionmentioning

confidence: 99%

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Fault estimation and active fault tolerant control for linear parameter varying descriptor systems

Shi

Patton

2014

Intl J Robust & Nonlinear

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Starting with the baseline controller design, this paper proposes an integrated approach of active fault tolerant control based on proportional derivative extended state observer (PDESO) for linear parameter varying descriptor systems. The PDESO can simultaneously provide the estimates of the system states, sensor faults, and actuator faults. The L 2 robust performance of the closed-loop system to bounded exogenous disturbance and bounded uncertainty is achieved by a two-step design procedure adapted from the traditional observerbased controller design. Furthermore, an LMI pole-placement region and the L 2 robustness performance are combined into a multiobjective formulation by suitably combing the appropriate LMI descriptions. A parameter-varying system example is given to illustrate the design procedure and the validity of the proposed integrated design approach.

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“…Therefore, these systems have attracted attention for the past decade because many systems such as mechanical systems have this structure, and the systems have ability to describe many systems such as chemical processes, robotic systems, aircrafts, etc. Thus, many researchers have investigated in the literature, for instance, robust stability analysis and stabilisation [15][16][17], robust controllability/ observability analysis [18], H2/H∞ norm characterization and control [19][20][21][22][23][24][25][26][27], robust filtering [21], positive real analysis and control [22]. They have two types which are singular and nonsingular descriptor systems.…”

Section: Introductionmentioning

confidence: 99%

Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator

Altun

2018

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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This paper proposes a gain scheduling linear quadratic integral (LQI) servo controller design, which is derived from linear quadratic regulator (LQR) optimal control, for non-singular linear parameter varying (LPV) descriptor systems. It is assumed that state space matrices are non-singular since many mechanical systems do not have any non-singular matrices such as the natural state space forms of robotic manipulator, pendulum and suspension systems. A controller design is difficult for the systems due to rational LPV case. Therefore, the proposed gain scheduling controller is designed without the difficulty. Accordingly, the motion control design is implemented for two-link flexible joint robotic manipulator. Finally, the control system simulation is performed to prove the applicability and performance.

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Gain scheduled observer state feedback controller for rational LPV systems

Cited by 7 publications

References 12 publications

Observer-based controller synthesis for LPV descriptor systems using dilated LMI conditions

Observer-based controller synthesis for LPV descriptor systems using dilated LMI conditions

Fault estimation and active fault tolerant control for linear parameter varying descriptor systems

Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator

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