Guaranteed cost control for switched LPV systems via parameter and state-dependent switching with dwell time and its application

Yang, Dong; Liu, Yanyan; Zhao, Jun

doi:10.1002/oca.2274

Cited by 16 publications

(14 citation statements)

References 26 publications

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“…Guaranteed cost control problems are discussed for various systems [24][25][26] since practical system states or controls usually undergo some restrictions. The control objective is to stabilize the system and maintain an adequate level of a quadratic cost function at the same time.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input

Zong

Ren

2019

Intl J Robust & Nonlinear

131

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In this paper, the guaranteed cost finite-time control for semi-Markov jump systems with unknown transition rates is addressed. An event-triggered scheme is constructed to automatically monitor the data transmission and the input quantization is involved to reduce the cost of control. Different from the existing general transition rates in the semi-Markov jump systems, the upper and lower bounds of transition rates are not given in advance but obtained through the stability criteria. The stability criteria are established to verify the stochastic finite-time boundedness of the closed-loop event-triggered system and estimate the performance index of the given cost function. A guaranteed cost optimal controller is also proposed to stabilize the considered system. Finally, the vertical take-off and landing helicopter model is introduced to verify the effectiveness of the main algorithms.

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Section: Introductionmentioning

confidence: 99%

Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input

Zong

Ren

2019

Intl J Robust & Nonlinear

131

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“…For instance, Huang et al [4] focused their studies upon finitetime output tracking for a class of switched nonlinear systems with polynomial state equations. Yang et al [5] investigated an optimal approach regarding the class of switched linear parameter variable systems via multiple parameter-dependent Lyapunov functions. Wu et al [6] introduced a novel controller based on backstepping method for a specific class of strict forward systems.…”

Section: Introduction 1overviewmentioning

confidence: 99%

FEA-based tracking control of flexible body switching dynamic structure

Homaeinezhad

FotoohiNia

2021

Robotica

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In dynamically switched systems with unknown switching signal, the control system is conventionally designed based on the worst switching scenario to ensure system stability. Such conservative design demands excessive control effort in less critical switching configurations. In the case of continuum mechanics systems, such excessive control inputs result in increased structural deformations and resultant modeling uncertainties. These deformations alter differential equations of motion which cripple the task of control. In this paper, a new approach for tracking control of uncertain continuum mechanics multivariable systems undergoing switching dynamics and unknown time delay has been proposed. Control algorithm is constructed based on the mathematical rigid model of the plant and a Common Lyapunov Function (CLF) is proposed upon sliding hyperplane regarding all switching configurations. Considering the model-based nature of sliding mode control (SMC) and inevitable uncertainties induced from modeling simplifications of continuum system or parameter evaluation errors, Finite Element Analysis (FEA) is utilized to approximate total model uncertainties. To obtain robust stability, instead of conventional switching functions in the construction of control law, the control inputs are selected such that system dynamics reside within stability bounds which are calculated based on the Lyapunov asymptotic stability criterion. Therefore, the unwanted chattering issue caused by continuous switching is not observed in control input signals. Eventually, the accuracy of the proposed method has been verified through the student version of ANSYS® mechanical APDL-based simulations and its effectiveness has been demonstrated in multiple operating conditions.

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“…The main objective and contribution of this paper is to develop an approach for the design of virtual actuators for the secure control against DoS attacks performed by a PWM jammer that overcomes the above-mentioned conservativeness under the assumption that some information about the energy constraints that limit the attacker has been identified. In the proposed approach, the attacked system is modeled as a switched system [45], in which the different modes correspond to different sets of actuators being affected by the attack. Then, following some ideas proposed by [46], the design conditions are obtained by allowing the reconfigured closed-loop system under some attack conditions to not satisfy the desired specification (stability with prescribed decay rate), as long as the resulting effect on the used Lyapunov function is compensated by the behavior of the closed-loop system during the time in which other operating conditions hold, e.g.…”

Section: Introductionmentioning

confidence: 99%

A virtual actuator approach for the secure control of networked LPV systems under pulse-width modulated DoS attacks

et al. 2019

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In this paper, we formulate and analyze the problem of secure control in the context of networked linear parameter varying (LPV) systems. We consider an energy-constrained, pulse-width modulated (PWM) jammer, which corrupts the control communication channel by performing a denial-of-service (DoS) attack. In particular, the malicious attacker is able to erase the data sent to one or more actuators. In order to achieve secure control, we propose a virtual actuator technique under the assumption that the behavior of the attacker has been identified. The main advantage brought by this technique is that the existing components in the control system can be maintained without need of retuning them, since the virtual actuator will perform a reconfiguration of the plant, hiding the attack from the controller point of view. Using Lyapunov-based results that take into account the possible behavior of the attacker, design conditions for calculating the virtual actuators gains are obtained. A numerical example is used to illustrate the proposed secure control strategy.

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Guaranteed cost control for switched LPV systems via parameter and state-dependent switching with dwell time and its application

Cited by 16 publications

References 26 publications

Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input

Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input

FEA-based tracking control of flexible body switching dynamic structure

A virtual actuator approach for the secure control of networked LPV systems under pulse-width modulated DoS attacks

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