diff --git a/07-Kalman-Filter-Math.ipynb b/07-Kalman-Filter-Math.ipynb index e44d74f..4b1555d 100644 --- a/07-Kalman-Filter-Math.ipynb +++ b/07-Kalman-Filter-Math.ipynb @@ -148,7 +148,7 @@ "$$\\mathbf x(t_k) = \\mathbf F(\\Delta t)\\mathbf x(t_{k-1}) + \\mathbf B(t_k)\\mathbf u (t_k)$$\n", "\n", "Convention allows us to write $\\mathbf x(t_k)$ as $\\mathbf x_k$, which means the \n", - "the value of $\\mathbf x$ at the k$^{th}$ value of $t$.\n", + "the value of $\\mathbf x$ at the $k^{th}$ value of $t$.\n", "\n", "$$\\mathbf x_k = \\mathbf{Fx}_{k-1} + \\mathbf B_k\\mathbf u_k$$\n", "\n", @@ -157,10 +157,10 @@ "Finding this matrix is often quite difficult. The equation $\\dot x = v$ is the simplest possible differential equation and we trivially integrate it as:\n", "\n", "$$ \\int\\limits_{x_{k-1}}^{x_k} \\mathrm{d}x = \\int\\limits_{0}^{\\Delta t} v\\, \\mathrm{d}t $$\n", - "$$x_k-x_0 = v \\Delta t$$\n", - "$$x_k = v \\Delta t + x_0$$\n", + "$$x_k-x_{k-1} = v \\Delta t$$\n", + "$$x_k = v \\Delta t + x_{k-1}$$\n", "\n", - "This equation is *recursive*: we compute the value of $x$ at time $t$ based on its value at time $t-1$. This recursive form enables us to represent the system (process model) in the form required by the Kalman filter:\n", + "This equation is *recursive*: we compute the value of $x$ at time $k$ based on its value at time $k-1$. This recursive form enables us to represent the system (process model) in the form required by the Kalman filter:\n", "\n", "$$\\begin{aligned}\n", "\\mathbf x_k &= \\mathbf{Fx}_{k-1} \\\\\n", @@ -200,24 +200,24 @@ "\n", "We define two new variables:\n", "\n", - "$$\\begin{aligned} x_1(u) &= x \\\\\n", - "x_2(u) &= \\dot x\n", + "$$\\begin{aligned} x_1(t) &= x \\\\\n", + "x_2(t) &= \\dot x\n", "\\end{aligned}$$\n", "\n", - "Now we will substitute these into the original equation and solve. The solution yields a set of first-order equations in terms of these new variables. It is conventional to drop the $(u)$ for notational convenience.\n", + "Now we will substitute these into the original equation and solve. The solution yields a set of first-order equations in terms of these new variables. It is conventional to drop the $(t)$ for notational convenience.\n", "\n", "We know that $\\dot x_1 = x_2$ and that $\\dot x_2 = \\ddot{x}$. Therefore\n", "\n", "$$\\begin{aligned}\n", "\\dot x_2 &= \\ddot{x} \\\\\n", - " &= 6\\dot x - 9x + t\\\\\n", - " &= 6x_2-9x_1 + t\n", + " &= 6\\dot x - 9x + u\\\\\n", + " &= 6x_2-9x_1 + u\n", "\\end{aligned}$$\n", "\n", "Therefore our first-order system of equations is\n", "\n", "$$\\begin{aligned}\\dot x_1 &= x_2 \\\\\n", - "\\dot x_2 &= 6x_2-9x_1 + t\\end{aligned}$$\n", + "\\dot x_2 &= 6x_2-9x_1 + u\\end{aligned}$$\n", "\n", "If you practice this a bit you will become adept at it. Isolate the highest term, define a new variable and its derivatives, and then substitute." ] @@ -989,7 +989,7 @@ "\n", "while not correct, is often a useful approximation. If you do this for an important application you will have to perform quite a few studies to guarantee that your filter works in a variety of situations. \n", "\n", - "If you do this, 'lower right term' means the most rapidly changing term for each variable. If the state is $x=\\begin{bmatrix}x & \\dot x & \\ddot{x} & y & \\dot{y} & \\ddot{y}\\end{bmatrix}^\\mathsf{T}$ Then Q will be 6x6; the elements for both $\\ddot{x}$ and $\\ddot{y}$ will have to be set to non-zero in $\\mathbf Q$." + "If you do this, 'lower right term' means the most rapidly changing term for each variable. If the state is $x=\\begin{bmatrix}x & \\dot x & \\ddot{x} & y & \\dot{y} & \\ddot{y}\\end{bmatrix}^\\mathsf{T}$ Then $\\mathbf Q$ will be 6x6; the elements for both $\\ddot{x}$ and $\\ddot{y}$ will have to be set to non-zero in $\\mathbf Q$." ] }, { @@ -1141,7 +1141,7 @@ "\n", "$$\\mathbf P = \\mathbf{\\bar P} - \\mathbf{KH}\\mathbf{\\bar P} - \\mathbf{\\bar P}\\mathbf H^\\mathsf T \\mathbf K^\\mathsf T + \\mathbf K(\\mathbf H \\mathbf{\\bar P}\\mathbf H^\\mathsf T + \\mathbf R)\\mathbf K^\\mathsf T$$\n", "\n", - "Now we need to the the derivative of the trace of $\\mathbf P$ with respect to $\\mathbf T$: $\\frac{d\\, trace(\\mathbf P)}{d\\mathbf K}$.\n", + "Now we need to the the derivative of the trace of $\\mathbf P$ with respect to $\\mathbf K$: $\\frac{d\\, trace(\\mathbf P)}{d\\mathbf K}$.\n", "\n", "The derivative of the trace the first term with respect to $\\mathbf K$ is $0$, since it does not have $\\mathbf K$ in the expression.\n", "\n", @@ -1201,14 +1201,14 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -1236,12 +1236,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -1269,7 +1269,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -1284,7 +1284,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -1312,12 +1312,12 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -1339,7 +1339,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -1420,7 +1420,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -1456,7 +1456,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -1468,7 +1468,7 @@ }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -1537,11 +1537,11 @@ "\n", "In practice this is extremely reasonable, as many things have the *Markov property*. If you are driving in a parking lot, does your position in the next second depend on whether you pulled off the interstate or were creeping along on a dirt road one minute ago? No. Your position in the next second depends solely on your current position, speed, and control inputs, not on what happened a minute ago. Thus, cars have the Markov property, and we can make this simplification with no loss of precision or generality.\n", "\n", - "The next simplification we make is do define the *measurement model* as depending on the current state $\\mathbf x_k$ with the conditional probability of the measurement given the current state: $P(\\mathbf z_t \\mid \\mathbf x_x)$. We write:\n", + "The next simplification we make is do define the *measurement model* as depending on the current state $\\mathbf x_k$ with the conditional probability of the measurement given the current state: $P(\\mathbf z_k \\mid \\mathbf x_k)$. We write:\n", "\n", - "$$\\mathbf z_k \\sim P(\\mathbf z_t \\mid \\mathbf x_x)$$\n", + "$$\\mathbf z_k \\sim P(\\mathbf z_k \\mid \\mathbf x_k)$$\n", "\n", - "We have a recurrance now, so we need an initial condition to terminate it. Therefore we say that the initial distribution is the probablity of the state $\\mathbf x_0$:\n", + "We have a recurrence now, so we need an initial condition to terminate it. Therefore we say that the initial distribution is the probablity of the state $\\mathbf x_0$:\n", "\n", "$$\\mathbf x_0 \\sim P(\\mathbf x_0)$$\n", "\n", @@ -1550,9 +1550,9 @@ "\n", "The details of the mathematics for this computation varies based on the problem. The **Discrete Bayes** and **Univariate Kalman Filter** chapters gave two different formulations which you should have been able to reason through. The univariate Kalman filter assumes that for a scalar state both the noise and process are linear model are affected by zero-mean, uncorrelated Gaussian noise. \n", "\n", - "The Multivariate Kalman filter make the same assumption but for states and measurements that are vectors, not scalars. Dr. Kalman was able to prove that if these assumptions hold true then the Kalman filter is *optimal* in a least squares sense. Colloquially this means there is no way to derive more information from the noisy measurements. In the remainder of the book I will present filters that relax the constraints on linearity and Gaussian noise.\n", + "The Multivariate Kalman filter makes the same assumption but for states and measurements that are vectors, not scalars. Dr. Kalman was able to prove that if these assumptions hold true then the Kalman filter is *optimal* in a least squares sense. Colloquially this means there is no way to derive more information from the noisy measurements. In the remainder of the book I will present filters that relax the constraints on linearity and Gaussian noise.\n", "\n", - "Before I go on, a few more words about statistical inversion. As Calvetti and Somersalo write in *Introduction to Bayesian Scientific Computing*, \"we adopt the Bayesian point of view: *randomness simply means lack of information*.\"[3] Our state parameterizes physical phenomena that we could in principle measure or compute: velocity, air drag, and so on. We lack enough information to compute or measure their value, so we opt to consider them as random variables. Strictly speaking they are not random, thus this is a subjective position. \n", + "Before I go on, a few more words about statistical inversion. As Calvetti and Somersalo write in *Introduction to Bayesian Scientific Computing*, \"we adopt the Bayesian point of view: *randomness simply means lack of information*\"[3]. Our state parameterizes physical phenomena that we could in principle measure or compute: velocity, air drag, and so on. We lack enough information to compute or measure their value, so we opt to consider them as random variables. Strictly speaking they are not random, thus this is a subjective position. \n", "\n", "They devote a full chapter to this topic. I can spare a paragraph. Bayesian filters are possible because we ascribe statistical properties to unknown parameters. In the case of the Kalman filter we have closed-form solutions to find an optimal estimate. Other filters, such as the discrete Bayes filter or the particle filter which we cover in a later chapter, model the probability in a more ad-hoc, non-optimal manner. The power of our technique comes from treating lack of information as a random variable, describing that random variable as a probability distribution, and then using Bayes Theorem to solve the statistical inference problem." ] @@ -1601,7 +1601,7 @@ "\\frac{a}{a+b} &= \\frac{a/a}{(a+b)/a} = \\frac{1}{(a+b)/a} \\\\\n", " &= \\frac{1}{1 + \\frac{b}{a}} = \\frac{1}{\\frac{b}{b} + \\frac{b}{a}} \\\\\n", " &= \\frac{1}{b}\\frac{1}{\\frac{1}{b} + \\frac{1}{a}} \\\\\n", - " &= \\frac{\\sigma^2_{x'}}{b}\n", + " &= \\frac{\\sigma^2_{x}}{b}\n", " \\end{aligned}\n", "$$\n", "\n", @@ -1610,7 +1610,7 @@ "$$\n", "\\begin{aligned}\n", "\\mu_{x}&=x+ \\frac{a}{a+b}(y-x) \\\\\n", - "&= x + \\frac{\\sigma^2_{x'}}{b}(y-x) \\\\\n", + "&= x + \\frac{\\sigma^2_{x}}{b}(y-x) \\\\\n", "&= x + g_n(y-x)\n", "\\end{aligned}\n", "$$\n", @@ -1667,7 +1667,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.4" + "version": "3.7.3" } }, "nbformat": 4,