The design of model-reference adaptive control (MRAC) for MIMO linear systems has not yet been achieved, in spite of significant efforts, the completeness and simplicity of its SISO counterpart. One of the main obstac...
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The design of model-reference adaptive control (MRAC) for MIMO linear systems has not yet been achieved, in spite of significant efforts, the completeness and simplicity of its SISO counterpart. One of the main obstacles has been the generalization of the SISO assumption that the sign of the high-frequency gain is known. Here we overcome this obstacle and present a MIMO analog to the well known Lyapunov-based MRAC SISO design. Our algorithm makes use of a new control parametrization derived from a factorization of the high-frequency gain matrix K/sub p/=SDU, where S is symmetric positive definite, D is diagonal, and U is unity upper triangular. Only the signs of the entries of D or, equivalently, the signs of the leading principal minors of K/sub p/, are assumed to be known.
A MIMO (multiple-input, multiple-output) analog to the well-known Lyapunov-based SISO (single-input, single-output) design of MRAC (model-reference adaptive control) has been recently introduced by L. Hsu et al. (2001...
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A MIMO (multiple-input, multiple-output) analog to the well-known Lyapunov-based SISO (single-input, single-output) design of MRAC (model-reference adaptive control) has been recently introduced by L. Hsu et al. (2001). The new design utilizes a control parametrization derived from a factorization of the high-frequency gain matrix K/sub p/=SDU, where S is symmetric positive-definite, D is diagonal and U is unity upper-triangular. Only the signs of the entries of D or, equivalently, the signs of the leading principal minors of K/sub p/, were assumed to be known. However, the result was restricted to plants with (vector) relative degree one. In this paper, we extend the MRAC for more general plants with relative degree greater than one. We present three possible factorizations of K/sub p/ and the resulting update laws.
We address the problem of output feedback tracking control of a class of Euler-Lagrange systems subject to nonlinear dissipative loads. By imposing a monotone damping condition on the nonlinearities of the unmeasured ...
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ISBN:
(纸本)0780366387
We address the problem of output feedback tracking control of a class of Euler-Lagrange systems subject to nonlinear dissipative loads. By imposing a monotone damping condition on the nonlinearities of the unmeasured states, the common restriction that the nonlinearities be globally Lipschitz is removed. The proposed observer-controller scheme renders the origin of the error dynamics uniformly globally asymptotically stable.
L 2 stability for null-controllable linear systems with bounded controls is achieved by scheduling a parameterized state feedback control law constructed from a parameterized family of solutions of an H ∞ -type Ricca...
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L 2 stability for null-controllable linear systems with bounded controls is achieved by scheduling a parameterized state feedback control law constructed from a parameterized family of solutions of an H ∞ -type Riccati equation. The scheduling is based on the magnitude of a virtual control signal and explicitly allows saturation and non-monotonicity (in time) of the scheduling parameter. These properties enhance convergence of the state by allowing the full utilization of the available control authority. Robustness to both a class of memoryless input uncertainties and a class of input-additive disturbances is also guaranteed. Simulation results for a case study illustrate the main features of the proposed control scheme.
We describe a method for navigating a mobile robot in the environment using signboards in scenes as landmarks. This method will enable us to realize human-like navigation and map-generation, and also can benefit human...
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We describe a method for navigating a mobile robot in the environment using signboards in scenes as landmarks. This method will enable us to realize human-like navigation and map-generation, and also can benefit human-robot communication. We choose signboards on walls and doors as landmarks. An environment map that contains the approximate position of each signboard in the environment is generated by the robot when the robot explores the environment the first time, and it will be used for re-localizing and navigating the robot afterward. First, characters in scene images are detected by using several heuristics of characters and character lines. Then, we calculate the relative orientation of the camera and a detected signboard from a single view using two methods based on the geometry of perspective projection. Finally, we reconstruct a distorted signboard image using two corresponding methods, and this makes the recognition of characters under a wider range of viewing condition much easier.
In this paper we analyze the occurrence of Hopf bifurcations in indirect field-oriented control of induction motors and derive guidelines for setting the PI speed loop controller in order to keep the bifurcations far ...
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ISBN:
(纸本)0780352513
In this paper we analyze the occurrence of Hopf bifurcations in indirect field-oriented control of induction motors and derive guidelines for setting the PI speed loop controller in order to keep the bifurcations far enough from the operating conditions in the parameter space.
A stabilizing controller for moored and free-floating ships is constructed by backstepping to meet two design objectives: one local and the other global. The local objective is to design an H∞-optimal controller for ...
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A stabilizing controller for moored and free-floating ships is constructed by backstepping to meet two design objectives: one local and the other global. The local objective is to design an H∞-optimal controller for the linearized plant. The global objective is inverse optimality for the nonlinear system. In the absence of disturbances, the system is rendered globally asymptotically stable and locally exponentially stable. Integral action is obtained by constant parameter adaptation.
In this paper we address the problem of designing simple global tracking controllers for a kinematic model of a mobile robot and a simple dynamic model of a mobile robot. For this we use a cascaded systems approach, r...
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In this paper we address the problem of designing simple global tracking controllers for a kinematic model of a mobile robot and a simple dynamic model of a mobile robot. For this we use a cascaded systems approach, resulting into linear controllers that yield global K-exponential stability of the closed loop system.
This paper examines fundamental design tradeoffs that apply to all linear filtering, prediction, and smoothing problems, We introduce sensitivity functions that quantify filter performance, and we show that their freq...
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This paper examines fundamental design tradeoffs that apply to all linear filtering, prediction, and smoothing problems, We introduce sensitivity functions that quantify filter performance, and we show that their frequency response satisfies constraints imposed by unstable poles and nonminimum phase zeros of the system, The constraints allow one to determine, a priori, whether or not a desired filter performance is attainable and how different arrangements of the measurement system influence the achievable performance.
We introduce a class of extended strict feedback nonlinear systems in which unmeasured states enter the system equations in a linear (affine) fashion. For such systems, we present a procedure for constructing dynamic ...
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We introduce a class of extended strict feedback nonlinear systems in which unmeasured states enter the system equations in a linear (affine) fashion. For such systems, we present a procedure for constructing dynamic partial state feedback controllers that achieve the global asymptotic tracking of given reference trajectories while maintaining internal boundedness. The controller dynamic order is equal to the number of unmeasured states. To illustrate our design procedure, we construct such a tracking controller for a nonlinear electromechanical rotor/platform system. Copyright (C) 1996 Elsevier Science Ltd.
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