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丁宝苍, Baocang Ding
,-0001,():
-1年11月30日
This paper considers stability of discrete-time nonlinear systemsin Takagi–Sugeno (T–S) form. This problem has been studied formore than 20 years with many sufficient conditions, and the asymptoticallynecessary and sufficient (ANS) conditions with respect to the commonquadraticLyapunov, function, having being obtained. This paper considersgeneral forms of homogeneous polynomially nonquadratic Lyapunov(HPNQL) function and homogeneous polynomially parameterized nonparalleldistributed compensation (HPP-non-PDC) law. By generalization oftheprocedurebasedonP?olya’s theoremand techniques used for parameterdependentlinearmatrix inequality (PD-LMI) which have been studied previouslyin different contexts, ANS stability conditions with respect to thegeneral HPNQL function are obtained.
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【期刊论文】Constrained robust model predictive control via parameter-dependent dynamicoutput feedbackI
丁宝苍, B. Ding*
,-0001,():
-1年11月30日
This paper considers output feedback robust model predictive control for the quasi-linear parametervarying (quasi-LPV) system with bounded disturbance. The so-called quasi-LPV means that the varyingparameters of the linear system are known at the current time, but unknown in the future. The controllaw is parameterized as a parameter-dependent dynamic output feedback, and the closed-loop stabilityis specified by the notion of quadratic boundedness. An iterative algorithm is proposed for the on-linesynthesis of the control law via convex optimization. A numerical example is given to illustrate theeffectiveness of the controller.
Dynamic output feedback Model predictive control Uncertain systems Quadratic boundedness
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【期刊论文】Distributed model predictive control for constrained linear systems
丁宝苍, Baocang Ding, Lihua Xie, ?, ? and Wenjian Cai
,-0001,():
-1年11月30日
We address the distributed model predictive control (MPC) for a set of linear local systems with decoupled dynamics and acoupled global cost function. By the decomposition of the global cost function, the distributed control problem is convertedto the MPC for each local system associated with a cost involving neighboring system states and inputs. For each localcontroller, the infinite horizon control moves are parameterized as N free control moves followed by a single state feedbacklaw. An interacting compatibility condition is derived, disassembled and incorporated into the design of each local control soas to achieve the stability of the global closed-loop system. Each local system exchanges with its neighbors the current statesand the previous optimal control strategies. The global closed-loop system is shown to be exponentially stable provided thatall the local optimizers are feasible at the initial time. Copyright
distributed control, model predictive control, compatibility condition, exponential stability
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【期刊论文】New formulation of robust MPC by incorporating off-lineapproach with on-line optimization
丁宝苍, BAOCANG DINGy and BIAO HUANG*z
,-0001,():
-1年11月30日
This article addresses robust model predictive control (MPC) for systems with polytopicdescription. An existing off-line robust MPC enables the on-line computation as simple assearching a state feedback gain among the look-up table. We consider enlarging the region ofattraction of the off-line MPC by incorporating free perturbation items. First, a largerellipsoidal region of attraction is off-line constructed, in which a simple optimization problemis solved on-line. Then, outside of this larger ellipsoid, a standard robust MPC is solved onlinesuch that the overall region of attraction can be rendered as a much larger nonellipsoidalone. The proposed approach possesses all the merits of the off-line MPC and greatly enlargesthe region of attraction. A simulation example is given to demonstrate the effectiveness.
Robust model predictive control, Off-line model predictive control, Region of attraction, Free perturbation item, Vertex perturbation item
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【期刊论文】Improving off-line approach to robustMPCbased-on nominalperformance cost
丁宝苍, BaoCang Dinga, ?, YuGeng Xib, Marcin T. Cychowskic, Thomas O’Mahonyc
Automatica 43(2007)158-163,-0001,():
-1年11月30日
This paper gives two alternative off-line synthesis approaches to robust model predictive control (RMPC) for systems with polytopic description. In each approach, a sequence of explicit control laws that correspond to a sequence of nested asymptotically invariant ellipsoids are constructed off-line. In order to accommodate a wider class of systems, nominal performance cost is chosen to substitute the "worst-case" one in an existing technique. In the design of control law for a larger ellipsoid, the second approach further incorporates the knowledge of control laws associated with all smaller ellipsoids, so as to further improve feasibility and optimality. The effectiveness of the alternative approaches is illustrated by a simulation example.
Robust model predictive control, Off-line method, Nominal performance cost, Asymptotically invariant ellipsoid, Linear matrix inequality
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