Model reference adaptive control for switched LPV systems and its application

Xie, Jing; Zhao, Jun

doi:10.1049/iet-cta.2015.1332

Cited by 32 publications

(16 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Step 4: Obviously, we know thatV < 0 by (15). Finally, according to the problem statement and the controller objective in Section 2, a backstepping adaptive controller u can be obtained, which is shown in the following theorem.…”

Section: The Design Of Adaptive Backstepping Sliding Mode Variable Stmentioning

confidence: 99%

“…Recently, the extended adaptive backstepping methods have been an increasingly popular subject in many different ways to influence parameter uncertainty, eg, feedback nonlinearization control [12][13][14] and sliding mode control (see other works [15][16][17][18] ). Both nonlinear adaptive controllers and parameter updating laws for a SMIBS with damping coefficient uncertainties have been studied in our other work 19 and in the work of Jiang et al 20 Another controller based on improved backstepping method of chaotic system with uncertain parameters is investigated in the work of Chen et al 21 For parameter uncertainties of the transmission line, Wan and Zhao 22 designed a nonlinear adaptive controller of power systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An improved adaptive backstepping approach on static var compensator controller of nonlinear power systems

Quan

Cai

et al. 2018

Adaptive Control & Signal

View full text Add to dashboard Cite

The transient stability problem of a single-machine infinite-bus system with static var compensator is solved in this paper, where the static var compensator controller is designed by an improved backstepping method combining error compensation, adaptive backstepping control, and sliding mode variable structure control. Crucially, the error compensation term, which chooses in the step of virtual control by the adaptive backstepping method, is introduced to ensure that the system states are bounded, maintaining the nonlinearity of the power systems while also improving the speed of parameter identification. Meanwhile, the Lyapunov function is constituted step by step to achieve stability of the subsystem. In addition, a parameter updating law and a nonlinear control law are explicitly given to asymptotically stabilize the closed-loop system. Finally, a simulation is used to illustrate the effectiveness and the practicality of the proposed control approach. KEYWORDSadaptive backstepping, error compensation, single-machine infinite-bus system, sliding mode variable structure control, static var compensator 700

show abstract

Section: The Design Of Adaptive Backstepping Sliding Mode Variable Stmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An improved adaptive backstepping approach on static var compensator controller of nonlinear power systems

Quan

Cai

et al. 2018

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…θ^= ρ e 2 − e 3 (θ^+ (20) (iii) Under the influences of the control input (18) and parameters replacement law (19), the closed-loop error system (20) is asymptotically stable. Proof: By (16), we know V(t) < V(0), namely e 1 , e 2 , x 1 , x 2 are bounded, and then we define , we know that e 3 → 0, x 3 is also bounded.…”

Section: Traditional Robust Adaptive Backstepping (Rab) Controller Dementioning

confidence: 99%

“…The adaptive law θ^ in (37) differs from that in (19) and (24). The modified adaptive law (37) can achieve a faster update law of unknown parameters and a faster response by increasing error-compensation coefficients and the SM control, the transient performance is significantly improved.…”

Section: Remarkmentioning

confidence: 99%

“…Li et al [17] and Sun et al [18] investigate variable structure excitation control, and guarantee the global asymptotic stability of tracking errors and generator terminal voltage within safety boundaries. Very recently, the authors in [19][20][21][22] extended adaptive backstepping methods have become an increasingly popular consideration in many different attempts to influence parametric uncertainties such as the damping coefficient. A controller based on the improved backstepping method of an SMIB power system with uncertain parameters is investigated in [23].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Improved robust adaptive backstepping control approach on STATCOM for non‐linear power systems

Quan

et al. 2017

IET Generation, Transmission & Distribution

View full text Add to dashboard Cite

A new model reference adaptive control with the disturbance observer‐based adaptation law for the Nonlinear Servomechanisms: SISO and MIMO Systems

Chen¹

2020

Asian Journal of Control

View full text Add to dashboard Cite

A disturbance observer (DOB) is proposed to replace the external disturbance adaptation law in model reference adaptive control (MRAC) to perform robust tracking control performance for nonlinear servomechanisms. Lyapunov stable theory is implemented to combine the DOB with MRAC to simultaneously converge the estimated states and tracking errors toward null. Then, the disturbance observer‐based MRAC (DOBMRAC) is proposed and realized. The single‐input single‐output (SISO) mass‐spring‐damper system and multi‐input multi‐output (MIMO) two‐link manipulator robot system are both demonstrated as the control examples. However, in comparisons of tracking control performance between MRAC and DOBMRAC, it is found that the proposed controller reveals better robust tracking control performance for SISO and MIMO servomechanisms with unknown time‐varying disturbances. The contributions of this paper are: i) the proposed DOBMRAC is successfully implemented in both the SISO and MIMO systems; ii) the proposed controller performs better tracking control performance than MRAC for unknown time‐varying disturbances; iii) the DOBMRAC cannot only perform robust tracking control performance, but also shows disturbance estimation ability well; and iv) the proposed control methodology can also be widely applied to other MRAC systems with unknown time‐varying disturbance.

show abstract

Model reference adaptive control for switched LPV systems and its application

Cited by 32 publications

References 24 publications

An improved adaptive backstepping approach on static var compensator controller of nonlinear power systems

An improved adaptive backstepping approach on static var compensator controller of nonlinear power systems

Improved robust adaptive backstepping control approach on STATCOM for non‐linear power systems

A new model reference adaptive control with the disturbance observer‐based adaptation law for the Nonlinear Servomechanisms: SISO and MIMO Systems

Contact Info

Product

Resources

About